Answer:
x = 18
Step-by-step explanation:
The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is
\(\frac{80}{80+2x}\) = \(\frac{60}{60+27}\) = \(\frac{60}{87}\) ( cross- multiply )
60(80 + 2x) = 6960 ← divide both sides by 60
80 + 2x = 116 ( subtract 80 from both sides )
2x = 36 ( divide both sides by 2 )
x = 18
expand 5a(a+6)
please help
What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46
Heyyyyy ah ha ha help I’m begging please someone god bless
Answer:
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Range of a function is a set of y-values (output values) for the given set of input values.
7). Domain → (-∞, ∞)
Range → (-∞, ∞)
8). Domain → (-∞, ∞)
Range → [-2, ∞)
9). Domain → [-2, 2]
Range → [-3, 3]
10). Domain → (-∞, ∞)
Range → [-1, 1]
In a text, irrelevant evidence describes facts and information that _[blank]_ an idea or a claim.
which answers best complete the sentence?
select all that apply.
are unrelated to
fail to provide adequate support for
are essential in supporting
work to disprove
Answer: Fail to provide adequate support for, and are unrelated to
Step-by-step explanation: I took the exam
What is the perimeter of the equilateral triangle if one side is 15 feet show ur working out and thank u
Answer:
45 feet
Step-by-step explanation:
An equilateral triangle has 3 sides of equal length. If one side is 15 then the other two sides will also be 15 feet long, if you do 15 x 3 you get 45 feet.
The following table shows the average number of songs downloaded each day by some students of a class: Student A B C D E F G H I J K L M N O Songs 3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8 Which histogram best represents the data? Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 6, height of the bar in the x interval 2 to 4 is 8, and the height of the bar in the x interval 4 to 6 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 6, height of the bar in the x interval 1 to 2 is 8, and the height of the bar in the x interval 2 to 3 is 1.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 2 is 7, height of the bar in the x interval 2 to 4 is 9, and the height of the bar in the x interval 4 to 6 is 2.
Histogram plots number of songs downloaded each week on x axis and number of students on y axis. Height of the bar in the x interval 0 to 1 is 7, height of the bar in the x interval 1 to 2 is 9, and the height of the bar in the x interval 2 to 3 is 2. WILL GIVE BRAINLIEST!
The histogram that best represents the data is the first histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
For this problem, we have that the data-set is given by:
3.4 1.1 1.7 3.1 5.8 3.2 3.7 3.4 1.6 3.5 3.9 3.8 1.1 1.9 1.8.
We divide the data-set into ranges, hence the number of elements in each range is given as follows:
6 students download between 0 and 2 songs per week.8 students download between 2 and 4 songs per week.1 student download between 4 and 6 songs per week.Hence the first histogram best represents the data.
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10 to the 4th power times 4 to the 10th power over 4 to the 5th power
Answer:
hello.
Step-by-step explanation:
\( \frac{ {4}^{10} \times {10}^{4} }{ {4}^{5} } = {4}^{5} \times {10}^{4} = {2}^{10} \times {10}^{4} = 1024 \times {10}^{4} \)
hope this is the answer but not sure
Please help!
Using the graph below, which of the following equations represents the line that is parallel to line FG and passes through the (8,−3) point?
my only answers can be the ones in the attached image (just had a random one ticked)
Answer:
the second option: \(7x+4y=44\)
Step-by-step explanation:
So when a line is parallel, it means that it has the same slope and a different y-intercept, it's important that there is a different y-intercept, otherwise it would be the same line, and the "two lines" would intersect at infinite points.
Anyways by looking at the graph you have two points (-8, 5) and (-4, -2). So the run in this case was 4 and the rise was -7. This is a slope of -7/4. So we have the equation: \(y=-\frac{7}{4}x+b \text{ where b}\ne-9}\). Since it passes through the point (8, -3) we can plug that in as (x, y) to solve for b (the y-intercept)
Plug in (8, -3) as (x, y)
\(-3=-\frac{7}{4}(8)+b\)
Multiply the -7/4 and 8
\(-3 = -14+b\)
add 4 to both sides
\(11 = b\)
So this gives us the equation:
\(y=-\frac{7}{4}x+11\)
Since it's asking for it in standard form you move the 7/4 x to the other side
Add 7/4x to both sides
\(\frac{7}{4}x+y=11\)
Multiply both sides by 4 to cancel out the fraction
\(7x+4y=44\)
please help me thank you
X + 6
The length of the rectangle above is 6 units longer than the width. Which expression could be used to represent the area of the rectangle?
1. x² + 6x + 6
2. x² - 36
3. x² + 6x
4. x² + 12x +36
Answer : 4 :)
Question 3 Not yet answered Marked out of 5.00 P Flag question The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is a sphere Select one: True False
The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is not a sphere; it is a cylindrical shell. This equation is a cylindrical shell rather than a sphere.
Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.
Cylindrical coordinates (r, θ, z) are a coordinate system that defines a point in three-dimensional space. It is similar to the polar coordinate system, except that the z-axis is added, resulting in the use of a cylindrical surface to specify the point location.
Let's find the solution.The cylindrical coordinate system is a three-dimensional coordinate system that is defined by the distance from a point in the xy-plane to a fixed point known as the origin, the angle that the point makes with the x-axis, and the vertical height of the point from the xy-plane, which is referred to as the z-coordinate of the point.
When defining a point in three-dimensional space, cylindrical coordinates are commonly used.
A sphere is a three-dimensional object with a curved surface that is equidistant from a single point in space. A spherical coordinate system is often used to specify the position of a point on a sphere. A cylindrical coordinate system, on the other hand, is commonly used to specify the position of a point on a cylindrical shell.
The equation
r - 6 = 0
is given in cylindrical coordinates. This equation is a cylindrical shell rather than a sphere.
Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.
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y = 4800(1.239)
growth or decay
Hello there! :D
Well, it is a general rule of thumb that growth is indicated by positive numbers, and decay is indicated by negative numbers. I would show decay in this exponential equation by making the percentage inside the parenthesis negative. It would look like this: y=4800(-1.239)
Obviously, this equation does not have a negative integer so we know it must constitue growth!
I hope this helped you and that you have a wonderful day,
Kai xx
Is the triangle with sides 25 cm 5 cm and 24 cm a right triangle?
The triangle with sides 25cm, 5cm and 24cm is not a right triangle.
Now, According to the question:
Let us assume that :
ABC is a right triangle,
A = 25cm
B = 5 cm
C = 24 cm
We have to find if the given sides of a triangle form a right triangle.
By using Pythagoras theorem for a right triangle,
\(A^2 = B^2+C^2\)
\((25)^2 = (5)^2 + (24)^2\)
LHS:\((5)^2 + (24)^2\)
= 25 + 576
= 601
RHS:\((25)^2\)
= 625
LHS ≠ RHS
Since, the Pythagorean theorem does not apply, the given sides do not form a right triangle.
Therefore, the triangle with sides 25cm, 5cm and 24cm is not a right triangle.
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The first two terms are as follows: Ao = 12 4 13 = 13 13 3 13 + 3.14 4 4 A1 = Ap+* (*). *3 = **** (*) 3 = 12[1 +* ()] . = 1 4 4 Write down Az and find the general pattern of An!
The general pattern of An is: An = 12(1 +* (*)) + (n-1)*(12*(*)(*) - 33.14). To find the general pattern of An, we can observe that each term is obtained by adding a constant multiple of the previous term with a fixed value.
Based on the given information, we can calculate the value of A2 as follows:
A2 = Ap+* (*)
= A1+* (*)
= [12(1 +* (*))] + (*)
= 12 + 12*(*)(*)
So, we can write the general formula for An as:
An = A1 + (n-1)*d
where d is the common difference between consecutive terms. To find the value of d, we can subtract the first term from the second term:
d = A1 - Ao
= [12(1 +* (*))] - 13 13 3 13 + 3.14 4 4
= 12 + 12*(*)(*) - 13 - 13 - 3 - 13 - 3.14 - 4
Simplifying the above expression, we get:
d = 12*(*)(*) - 33.14
So, the general pattern of An is:
An = 12(1 +* (*)) + (n-1)*(12*(*)(*) - 33.14)
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Pls help me with this!!
W33D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Assuming the dilatation is centred at the origin.
Then multiply each set of coordinates by the scale factor \(\frac{1}{3}\) , thus
(- 12, 3 ) → \(\frac{1}{3}\)(- 12), \(\frac{1}{3}\) (3) ) → (- 4, 1 )
(0, 6 ) → ( \(\frac{1}{3}\) (0), \(\frac{1}{3}\) (6) ) → (0, 2 )
(3, - 3 ) → ( \(\frac{1}{3}\) (3), \(\frac{1}{3}\) ( - 3 ) ) → (1, - 1 )
The sum of three consecutive even integers is 30 more than the largest
Answer:
nljgdetbeybrybdtbrbrtbetbrynrynenehtnehymyrumeymryjmryj ryu
PLEASE HELP!!!!
11.) A restaurant chain's owners are trying to decide if they want to open up a franchise in your
town. To help them decide, they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling
method? Explain.
12. Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answer:
11. The sampling method is biased. This is because the researcher only interviews people coming out of the restaurant instead of people in the restaurant or walking on the street. This would be called convenience sampling.
12. There is bias in the question. The writer prefers chocolate over vanilla by the words used to describe the two flavors.
(Sorry if this was too late for you by the way.)
Problem is in the image
Answer:
0 < c < 1
Step-by-step explanation:
Descarte's rule of signs tells you the quadratic will have two or zero positive real roots when the sign of c is positive. (c > 0)
The discriminant tells you the quadratic will have real roots when ...
b² -4ac > 0 . . . . . . where a, b, c are the coefficients of ax² +bx +c = 0
(-2)² -4(1)c > 0
1 -c > 0
c < 1
The equation will have two positive real roots when 0 < c < 1.
What is the value of 6(x−2)(x−3)+4(x−2)(x−5) when x=−3? Type the answer in the box below.
If possible insert a digit to make the number divisible by 6: 13....0, There are 6 different digits by the way
Answer:
It is possible
The numbers are 2,5,8
Step-by-step explanation:
1320/6=220
1350/6=225
1380/6=230
These numbers are all divisible by 6.
The possible digits that would make the number divisible by 6 are 2 , 5 and 8.
We know that any number must be divisible by 6 if the number is an even number and divisible by 3.
Now the given number is 13...0.
Since the last digit is 0, hence it is an even number.
Now for the number divisible by 3, the sum of the digits must be divisible by 3.
let the missing digit be a such that 6 is factor of 13a0
Therefore the number is 13a0.
Sum of the digits = 1+3+a +0 = 4+a
Now the value of a can be 2 then sum is 6, hence divisible.
The value of a can be 5 then sum is 9, hence divisible.
Also the value can be 8 then sum is 12 hence divisible.
Therefore the required complete numbers are :
1320/6=220
1350/6=225
1380/6=230
Hence the required digits are 2,5 and 8.
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PLEASE HELP!! DUE SOON :( #40
Answer:
Types of polygon
Polygons can be regular or irregular. If the angles are all equal and all the sides are equal length it is a regular polygon.
Regular and irregular polygons
Interior angles of polygons
To find the sum of interior angles in a polygon divide the polygon into triangles.
Irregular pentagons
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
Example
Calculate the sum of interior angles in a pentagon.
A pentagon contains 3 triangles. The sum of the interior angles is:
180 * 3 = 540
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n - 2) * 180 (where n is the number of sides)
make x the subject of the formular 6x+a=5(x+t)
The value of x is (5t-a) when the formula is 6x+a=5(x+t).
According to the question,
We have the following information:
6x+a=5(x+t)
Now, from this formula, we have to mark the value of x or in other words, we have to find the value of x.
Now, multiplying 5 into the bracket on the right hand side:
6x+a = 5x+5t
Subtracting 5x from both sides of the equation:
6x-5x+a = 5t
x+a = 5t
Subtracting a from both sides of the equation, we will get the final value of x in terms of t and a:
x = 5t-a
Hence, the value of x is (5t-a) when the formula is 6x+a=5(x+t).
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pls help . ily ppl are so nice
Answer:
Equals
Step-by-step explanation:
You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.
In the figure below, m1=3x° and m2 = (x+18)°.
Find the angle measures.
L
2
m 21 =
m2 2 =
Answer: m 21=
I got it right on test!
Step-by-step explanation:
The sales tax rate is 6%. If Greta buys a water heater priced at $475 , how much tax will she pay?
Answer:
Greta will pay $28.5 in tax.
Step-by-step explanation:
To find the percent of something, you need to put the percentage in decimal or fraction form. To do this, put the number over 100 (6/100) or move the decimal 2 places to the left (.06). Then, multiply by the number you are taking the percentage of.
.06 × 475 = 28.5
Each donor pack contains 3 food coupons and 5 raffle tickets. Food coupons Raffle tickets 0 A 什 0 Complete the double number line to show the other values of coupons and tickets. Choose 1 answer: B Food coupons Raffle tickets Food coupons Raffle tickets 0 4 什 +++ 0 + + H 0 + 0 5 10 15 3 6 9 12 5 + + 6 9 + 13 21 + 20 12 + + 29
The values in between can be obtained by adding 3 to the previous food coupon value and adding 5 to the previous raffle ticket value. Based on the given information, we know that each donor pack contains 3 food coupons and 5 raffle tickets.
We can complete the double number line by considering the relationship between the number of food coupons and the number of raffle tickets.
Starting with the given values:
Food coupons: 0
Raffle tickets: 0
We can increment both values by the same amount to maintain the ratio of 3 food coupons to 5 raffle tickets. Adding 3 to the food coupons and 5 to the raffle tickets, we get:
Food coupons: 3
Raffle tickets: 5
Continuing this pattern, we can increment by 3 for food coupons and 5 for raffle tickets:
Food coupons: 6, 9, 12, 15
Raffle tickets: 10, 15, 20, 25
Thus, the completed double number line is:Food coupons: 0, 3, 6, 9, 12, 15
Raffle tickets: 0, 5, 10, 15, 20, 25.
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PLEASE HELP ON THIS ASAP!
Answer:
Step-by-step explanation:
try D
At a community barbecue, Mrs. Hammond and Mr. Weber are buying dinner for their families. Mrs. Hammond purchases 1 hot dog meal and 3 hamburger meals, paying a total of $30. Mr. Weber buys 3 hot dog meals and 3 hamburger meals, spending $42 in all. How much do the meals cost?
The required cost of the meal given as a hot dog is of $6 and the hamburger is of $8.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Let's call the cost of a hot dog meal "x" and the cost of a hamburger meal "y".
From Mrs. Hammond's purchase, we know that:
x + 3y = 30 -- - - - - -(1)
From Mr. Weber's purchase, we know that:
3x + 3y = 42 - - - - - -(2)
We can use substitution to solve for one of the variables in terms of the other. If we substitute the first equation into the second equation:
3x + 3y = 42
3x + 3(30 - x)/3 = 42
3x + 30 - x = 42
2x = 12
x = 6
now,
6 + 3y = 30
3y = 24
y = 8
Thus, the required cost of the meal given as a hot dog is of $6 and a hamburger is $8.
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Suppose you want to buy a great pair of designer jeans that were originally priced at $95, but are now on sale for 10% off. When you buy the jeans, you need to pay sales tax of 10% on the sales price. How much will you have to pay for the jeans?
Answer:
$94.05
Step-by-step explanation:
Original price of jeans=$95
Discount=10%
New price=(100% - 10%) of $95
=90% × 95
=90/100 × 95
=0.9 × 95
=$85.5
Sales tax of 10%
10% of the new price
=10/100 × 85.5
=0.1 × 85.5
=$8.55
Sales tax =$8.55
Total amount paid for the jeans= sales tax + new tax
=$8.55 + $85.5
=$94.05
A triangle has three angles with the measures of (2x), (2x + 14), and (6x + 6)".
What is the measure of the smallest angle in the triangle?
Answer:
Option c : 32 degree.
Step-by-step explanation:
2x + 2x + 14 + 6x + 6 = 180 degrees
10x = 160
x = 16
2x = 16 *2 = 32 degrees
Answer:
Step-by-step explanation:
Angles in a triangle add up to 180°
You take 2x+2x+14+6x+6=180°
Collect like term and add 2x+2x+6x+14+4=180°
10x+20=180°
10x=180°-20
10x=160÷10
x=16
16*2=32
16*2+14=46
16*6+6=100
Smallest angle is 32
i have no idea about how to do it.
The blanks are filled as follows
Step one
Equation 2x + y = 18 Isolate y,
y = 18 - 2x
How to complete the stepsStep Two:
Equation 8x - y = 22, Plug in for y
8x - (18 - 2x) = 22
Step Three: Solve for x by isolating it
8x - (18 - 2x) = 22
8x - 18 + 2x = 22
8x + 2x = 22 + 18
10x = 40
x = 4
Step Four: Plug what x equals into your answer for step one and solve
y = 18 - 2x
y = 18 - 2(4)
y = 18 - 8
y = 10
So the solution to the system of equations is x = 40 and y = 10
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