. If mWVX = (13x + 9) and m/WXZ = (5x + 36), find m2WXY.
a
X
m/WXY=

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Step-by-step explanation: the answer is x = 1/2

The value of x is 27 units.

It is required to find the value of x.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),

According to given question we have,

m∠1 =m∠3

(4x + 2)=(5x − 25)

compare the like terms and simplify we get,

2+25=5x-4x

27=x

Therefore, the value of x is 27 units.

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Answer:

A) 0.58 (move the decimal point twice to the left b/c ur dealing with 100)

B) 0.156 (move the decimal point twice to the left b/c ur dealing with 100)

C) 0.0525 (move the decimal point twice to the left b/c ur dealing with 100)

Step-by-step explanation:

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

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Answer:

commutative property

Step-by-step explanation:

an example is 3.4 = 4.3

Answer:

Commutative property. :)

Answer:

8 cm

Step-by-step explanation:

V = 1/3 (Base Area) × h

216cm³ = 1/3(81cm²) × h

216cm³ = 27cm² × h

÷ 27cm   ÷ 27cm

8 cm = h

I hope this helps!

Answer:

0 degrees

Step-by-step explanation:

Assuming the temperature drops at a constant rate, the temperature would be 0 degrees after 8 hours. 4*8=32, 32-32=0

Answer:

20km/hr

Step-by-step explanation:

Given that a ship sailed 30km in one and a half hours. We need to find out the rate of ship in kilometres/hour . The rate is also called Speed.

Speed:- Distance travelled per unit time is called Speed .

Here , according to Question,

Distance = 30 km

Time = 1½ hrs .

We know that ,

\(\rm\implies Distance = Speed \times Time \)

Subsequently ,

\(\rm\implies Time = \dfrac{Distance}{Time} \)

Substitute the respective values ,

\(\rm\implies Rate =\dfrac{ 30km}{ 1.5 hrs } \)

We can write 1.5 as 3/2 , therefore ,

\(\rm\implies Rate = \dfrac{ 2\times 30}{3} km/hr\)

Simplify the RHS ,

\(\rm\implies\boxed{\blue{\rm Rate = 20\ km/hr}} \)

Hence the Rate/Speed of the ship is 20km/hr .

Answer:

32

Step-by-step explanation:

9514 1404 393

Answer:

  C.  0.36 +0.27 = 0.63

Step-by-step explanation:

3 columns and 6 squares of a hundredths grid is a representation of ...

  0.30 +0.06 = 0.36

2 columns and 7 square is a representation of ...

  0.20 +0.07 = 0.27

The total shaded area is the sum of these:

  0.36 +0.27 = 0.63

Answer:

B. 37.5 sq in

Step-by-step explanation:

sana po makatulong ☺️

108 (degrees)

sorry if that's wrong its been a while since I did that.

(180 degrees in a triangle 42+30=72 180-72=108)

Answer:

20 units

Step-by-step explanation:

If we line this up, we have A as the up-left, B as the up-right, C as the lower right, and D as the lower-left. Perimeter is 2(length+width), and the length is 8, the width is 2. 2+8=10, and 10*2= 20.

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

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The total number of ways this can be done is 144 ways

Generally, the total outcomes that are there when n objects are spinned is expressed as n!

n! = n(n-1)(n-2)!

If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:

Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways

Hence the total number of ways this can be done is 144 ways

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Answer:

Step-by-step explanation:

As RS is a straight line sin ∠RUT = sin ∠SUT

line UT bisects ∠RTS

Let θ be ∠UTR and ∠UTS

Law of sines

Left side triangle

3x/sinθ = 40/sinRUT

sinRUT = 40sinθ / 3x

Right side triangle

(x + 2) / sinθ = 16 / sinSUT

(x + 2) / sinθ = 16 / (40sinθ / 3x)

(x + 2)(40sinθ / 3x)  = 16sinθ

(x + 2)(40sinθ)  = 48xsinθ

40xsinθ + 80sinθ = 48xsinθ

40x + 80 = 48x

80 = 8x

x = 10

Answer:

interest earned: $225

total amount: $725

Step-by-step explanation:

Simple interest:

I = prt

I = $500 × 0.05 × 9

I = $225

F = future value which is principal plus interest

F = P + I

F = $500 + $225

F = $725

The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Answer:

Step-by-step explanation:

a)  27 = 3 × 3 × 3 = 3³    Answer: 3

b)  32 = 2 × 2 × 2 × 2 × 2 = \(2^5\)     Answer: 5

c) 625 = 5 × 5 × 5 × 5 = \(5^4\)     Answer: 4

d) \(\sqrt{64} = 8 \)  ⇒  \(64^{\frac{1}{2}} \)    Answer: 1/2

e) \(\sqrt[4]{81}=3 \)  ⇒  \(81^{\frac{1}{4}} \)   Answer: 1/4

f) \(\sqrt[6]{64} =2\)  ⇒  \(64^{\frac{1}{6} }\)    Answer: 1/6

g) \((x^2)^{\frac{1}{2}}=x^1=x \)     Answer: 1/2

h)  \((x^3)^{4}=x^{12}\)    Answer: 4

i)  \((x)^8=x^8\)   Answer: 8

Answer:

Step-by-step explanation:

Prime factorize 27,32,625,

a) 27 = 3 * 3 * 3 = 3³

b) 32 = 2 * 2 * 2 * 2 *2 = 2⁵

c) 625 = 5*5*5*5 = 5⁴

\(d) \sqrt{64}= (8^{2})^{\frac{1}{2}} = 8\\\\ e) \sqrt[4]{81}=\sqrt[4]{3*3*3*3}=(3^{4})^{\frac{1}{4}} = 3\\\\ f) \sqrt[6]{64}=\sqrt[6]{2*2*2*2*2*2}=(2^{6})^{\frac{1}{6}}=2\\\\ g)\sqrt{x^{2}}=(x^{2})^{\frac{1}{2}}=x\\\\ \)

\(h) x^{12} = x^{3*4}= (x^{3})^{4}\\\\ i)x^{8}=x^{1*8}=(x^{1})^{8}\)

Answer:

Yes si true

Step-by-step explanation:

If you analyze the figures you will realize that they are the same, the size differentiates it but they have the same angles.

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer: 6(y-3) (y-1)

hope this helps you :)

Answer:

6(y-1)(y-3)

Step-by-step explanation:

6y^2-24y+18

6(y^2-4y+3)

6(y-1)(y-3)

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)