Which pair of angles cannot be used to create an obtuse triangle?

A.
70° and 25°

B.
45° and 35°

C.
50° and 25°

D.
20° and 15°

Points A and B define a segment on the number line. This segment starts at 0 and ends at the 84 tick on the number line.

That tells us that the segment has a length of 84 (the difference between 84 and 0 ; 84-0 = 84)

now, there is a partition of the line segment in a quotient 9:7

That means that the partition was made so as to leave 9 sections to the left (between 0 and the point P) and 7 of the same size sections to the right of P towards point B.

So let's think about a total of 9 divisions on the left and 7 divisions on the right of point P. That is, a total of 9 + 7 = 16 divisions of our segment AB.

So, what is the length of each of these divisions?

We need to divide 84 (the length of segment AB) in 16 parts:

84/16 = 5.25

5.25 is the length of each of the divisions we want.

Now, recall that point P is located 9 of these divisions to the right of point A,

then we need to add 9 of the 5.25 length divisions to point A (located at zero) to mark that point P.

This means that point P is at position:

0 + 9 times 5.25 = 0 + 47.25 = 47.25

P is located at the point 47.25 on the number line

Answer:its a

Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get

-6.8 + 6.8 =0

The coefficient of determination, given the total variation and the explained variation would be 0.898.

R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.

We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.

The coefficient of determination is:

= explained variation / total variation

= 18. 592 / 20.711

= 0. 898

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Full question is:

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.

Find the coefficient of determination. Round to three decimal place

The true statement exists

2. <1 + <3 = 180 because form a straight angle.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

If two lines in a plane can be stretched indefinitely in both directions without coming to an intersection, they are said to be parallel.

If the equivalent angles generated when two lines are intersected by a transversal line are equal, the lines are parallel. Typically, the comparable angles are situated side by side and on the same transversal side.

If the alternate internal angles so created are equivalent, two lines sliced by a transversal line are considered parallel. The pairs of the alternate interior are often located on the inner side but are located on the opposing sides of the transversal.

1. <3 = <2 because of vertically opposite angle.

Therefore, it is false

2. <1 + <3 = 180 because form a straight angle.

Therefore, it exists true.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

Therefore, it exists true.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Therefore, it exists true.

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Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Answer:

26%

Step-by-step explanation:

use a online percentage calculator

Answer:

42-9×9+64

=42-81+64

= 106-81

=25

Answer:

8

Step-by-step explanation:

Problem Solving JJ jogged around the school in 14 hours. David jogged the same distance in an hour. How much longer did JJ take than David in hours?

3J] jogged=11/4 David jogged= 5/6 ru​

___________________________________

JJ jogged around the school in 14 hours.

David jogged the same distance in an hour. JJ take than David

________________________________

Distance x = 1 (Unit )

rate

JJ 1 distance / 14 h

David 1 distance /1h

_______________________

The same distance

14 h - 1h = 13 h

_____________________

Answer

JJ took 13h more than David

The correct answer is option D. 250 milliliters, is the capacity of a small cup. This is a proportion exercise.

It is given that, the  total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters.

To find the capacity of a small cup

Let small cup capacity  be 's' and large cup capacity be 'l'

From the given information we can write,

2l + 2s = 1500

Then l + s = 750

one large cup and two small cups is 1,000 milliliters.

l + 2s = 1000

l + s + s = 1000

(l + s) + s = 1000

750 + s = 1000

s = 1000 - 750 = 250

The correct answer is option D. 250 milliliters

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Full Question:

The total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters, what is the capacity of a small cup?

A. 375 milliliters

B. 200 milliliters

C. 500 milliliters

D. 250 milliliters

Answer:

the answer is c

Step-by-step explanation:

i just know

Answer:

The image of the point after the dilation is (15,-21).

Step-by-step explanation:

To find the image of a point after a dilation by a factor, we multiply each coordinate in the point by the factor.

In this question, we have that:

Point (5,-7)

Dilation by a scale factor of 3, centered at the origin. So, multiply by 3

5*3 = 15

-7*3 = -21

The image of the point after the dilation is (15,-21).

Answer:-21,15

Step-by-step explanation:

The percent of the front page taken up by the prom story is 20%

From the question, we have the following parameters that can be used in our computation:

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

it took Sandhya 10 minutes to run 1 mile

and it took Suneer 9 minuets to run one mile    

Suneer ha a quicker pace then Sandhya

Step-by-step explanation:

52 divided by 6 is ab 8.7 so rounded to 9

40 divided by 4 is 10

The x value is first and the y value is second.point A is at (-3,-6)

Note that the expressions describing the area of the shaded region are:

3/12 * 3/6 (Option A) and

1/4 * 1/2 (Option C)

Note that the shaded region amounts to 1/8 of the entire shape. Where 1/8 is also equal to 0.125.

A) Lets take 3/12 * 3/6

To multiply these fractions, we can first simplify them by canceling any common factors between the numerator and the denominator:

3/12 = 1/4 (both numerator and denominator can be divided by 3)

3/6 = 1/2 (both numerator and denominator can be divided by 3)

Now we can multiply the simplified fractions:

(1/4) * (1/2) = 1/8

Therefore, 3/12 * 3/6 = 1/8.

C) Lets also take 1/4 * 1/2

To multiply these fractions, we simply multiply their numerators and denominators:

(1/4) * (1/2) = (11) / (42) = 1/8

Therefore, 1/4 * 1/2 = 1/8.

Thus, we are correct to state that the expressions describing the area of the shaded region are:

3/12 * 3/6 (Option A) and

1/4 * 1/2 (Option C)

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Full question:

See the attached image.

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

8%

Step-by-step explanation:

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

True

the sum of any whole number and zero is the number itself. That is, zero is the only whole number that does not change the value (identity) of the number it is added to. The whole number 0 (zero) is called the additive identity or the identity element for addition of whole numbers

Answer:

false

Step-by-step explanation:

when we multiply a number with zero it will be zero

but when we add the answer will be the number itself

Answer:

189.25

Step-by-step explanation:

multiply 15 by 10 to find area of rectangle.

The area of rectangle is 150.

To find area of semicircle 1/2(pi r^2)

divide 10 by 2 to find radius, which is 5

area of semicircle would be 39.27

add 150 to 39.27

the answer is 189.27

189.25 is close enough so that is answer

Answer: over budget by $64



Step-by-step explanation:

$99 coat

$75 Shoes

$240 tv

Total=414

total-budget=

Budget =$350

414-350

= 64

The total expense of owning the vehicle will be $1,000 if you purchase the car for $16,500, maintain it for 8 years, and sell this for scrap at a price of $500.

A company can calculate an asset's residual value by deducting the total amount of depreciation from the original purchase price.Yes, I would be pleased to answer any queries you may have regarding this car purchase. It sounds as if you're interested in computing the depreciation of a car over the course of its useful life according to the data you've provided. The straight-line technique of depreciation, which implies that car depreciates by the same amount every year, might be used to get things going. Using this approach, we can determine the car's annual depreciation as follows:

(Purchase Price - Salvage Value) / Useful Life = Yearly Degradation

By entering the values you supplied, we obtain:

Annual Depreciation = ($16,500 - $500) / 8 years

Annual Depreciation = $2,000 per year

This indicates that the car's value will decline by $2,000 annually, for a total depreciation of $16,000 ($2,000 x 8 years) after 8 years. The car will then be worth its $500 salvage value, making the cost of ownership for the next eight years:

Total Cost of Ownership = Purchase Price - Total Depreciation + Salvage Value

Total Cost of Ownership = $16,500 - $16,000 + $500

Total Cost of Ownership = $1,000

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