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3 years ago

Can somone help me with this 1 problem? QRST is a parallelogram. Determine the measure of ∠Q

1 answer:

3 0

(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)

In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs.
(You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.)

We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other:
1) 4x + 10 = 5x - 3
2) 4x + 13 = 5x
3) 5x = 4x + 13
4) x = 13
Now let's plug 13 in for Q:
5) 4(13) + 10 = 52+10 = 62

I got m<Q = 62 degrees. Hope this helps!

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3 years ago

Read 2 more answers

If a =6, what is the value of 2a(3b + 5c)?

leva [86]

Answer:

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c) <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

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3 years ago

You are researching two glaciers.the first glacier flows at a rate of 75 meters in 3 days.the second glacier flows at a rate of

podryga [215]

Answer:

$1.3\ days$

Step-by-step explanation:

step 1

Find the units rate of the first glacier

$\frac{75}{3}=25\frac{meters}{day}$

using proportion

$\frac{25}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/25\\ \\x=8\ days$

step 2

Find the units rate of the second glacier

$\frac{107.5}{5}=21.5\frac{meters}{day}$

using proportion

$\frac{21.5}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/21.5\\ \\x=9.3\ days$

step 3

Find the difference

$9.3\ days-8\ days=1.3\ days$

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3 years ago

Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62,000, with annual raises of 2,000. How many years, y,

bekas [8.4K]

55,000 + 2,500x = 62,000 + 2,000x

subtract 55,000 from both sides
2,500x = 7,000 + 2,000x

now subtract 2,000x from both sides

500x = 7,000
x= 14 years

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3 years ago

What is the y intercept of the graph y= -2x^2 -4x-3

Kitty [74]

the answer for this question is -3

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3 years ago