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QveST [7]
3 years ago
15

In the diagram, MTD is congruent to SLG. Which statement is true?

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

TD is congruent to SG is the correct statement

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What is the value of a?
Annette [7]

Answer:

<h2>a = 16</h2>

Step-by-step explanation:

Look at the picture.

The formula of an area of a trapezoid is:

A=\dfrac{b_1+b_2}{2}\cdot h

b_1,\ b_2 - bases

h - height

We have:

A=128,\ b_1=a+2,\ b_2=a-2,\ h=8

Substitute:

128=\dfrac{a+2+a-2}{2}\cdot8\\\\128=\dfrac{2a}{2}\cdot8

128=8a          <em>divide both sides by 8</em>

16=a\to a=16

8 0
3 years ago
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells
dlinn [17]

Answer:

12d+34>100  

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.  

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: 12d+34

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

12d+34>100

Therefore, the inequality 12d+34>100 can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

8 0
3 years ago
Read 2 more answers
A 20 packet box of detergent sells for $5.49. What is the unit rate
jolli1 [7]

Answer:$0.27

Step-by-step explanation:

20=$5.49

1=20/5.49

1=$0.2745

6 0
3 years ago
Simplify. Write the expression using only positive exponents.
viva [34]

Answer:

w^6/9

Step-by-step explanation:

w to the power of 6 divided by 6

8 0
3 years ago
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Compare the expressions. 40 -16 plus 10 ? -20 plus 18 plus 30
Harman [31]

We just need to do come computation:

40-16+10 = 40+(-16+10) = 40+(-6) = 40-6=34

-20+18+30 = -2+30 = 28

So, we have 34>28

8 0
2 years ago
Read 2 more answers
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