All categories

3 years ago

Find the measure of the angle indicated in bold. please include explanation.

Mathematics

2 answers:

My name is Ann [436]3 years ago

7 0

Answer:

D 95

Step-by-step explanation:

46x+3 = 48x-1 (corresponding angles are congruent)

now isolate x

2x = 4

2x/2 = 4/2

x = 2

plug x = 2 back into 48x-1 since it's the bold angle

48(2) - 1 = 96-1 = 95

Juliette [100K]3 years ago

4 0

Answer:

D 95

Step-by-step explanation:

The two angles are corresponding angles and corresponding angles are equal

46x+3 = 48x-1

Subtract 46x from each side

46x -46x+3 = 48x-46x-1

3 = 2x-1

Add 1 to each side

3+1 =2x-1+1

4 = 2x

Divide by 2 on each side

4/2 = 2x/2

2 =x

We need to find the bold angle 48x-1

48(2)-1

96-1

You might be interested in

In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a paral

lara [203]

Answer:

The measure confirming that PQRS would be 25

Step-by-step explanation:

It's easier if you draw it down.

1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.

155 \

P \ -------------------------\ Q

\ 25 \

\ \ so that's your shape

S \______________\ R

2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.

3. As mentioned before, in a parallelogram, opposite angles are the same and therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.

7 0

3 years ago

Miss pineapple drew 2 tape diagrams. On one she showed 7/8 and the other she showed 8/7. Which is more? How do you know?

topjm [15]

Answer:8/7

Step-by-step explanation:

7/8= 0.875

8/7=1.143

1.143 is more than 0.875

That means 8/7 is greater

3 0

3 years ago

The table below shows the number of school absences each day.

lidiya [134]

Answer:

Step-by-step explanation:

did it on edge soo there ya go

7 0

4 years ago

Read 2 more answers

At least 1250 rides are needed.

OleMash [197]

Yes it is possible for 15,000 people to ride the thrill ride in 1 day....

6 0

3 years ago

Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may

nata0808 [166]

Answer:

The length of the mat is 30 inches.

Step-by-step explanation:

Let H be the hypotenuse of the incline mat, L its length and h its height.

It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²

(L + 4)² = L² + (L - 14)²

Expanding, we have

L² + 8L + 16 = L² + L² -28L + 196

collecting all the terms to the right side, we have

L² + L² -28L + 196 - L² - 8L - 16 = 0

L² - 36L + 180 = 0

Using the quadratic formula, L =

L $\frac{-(-36) +/- \sqrt{(-36)^{2} -4X1X180} )}{2X1} = \frac{36 +/- \sqrt{1296 - 720} }{2} \\= \frac{36 +/- \sqrt{576} }{2} \\= \frac{36 +/- 24 )}{2}\\=\frac{36 + 24}{2} or \frac{36 - 24}{2} \\=\frac{60}{2} or \frac{12}{2} \\= 30 or 6$

We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .

So, the length of the mat is 30 inches.

3 0

3 years ago