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iris [78.8K]
3 years ago
10

The sum of twice a number and three is 21. find the number

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

sum of twice a number and three is 21

2x + 3 = 21

x = 9

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^DEF and ^RSQ are shown in the diagram below
lakkis [162]

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

6 0
3 years ago
Violet contributes 12% of her $55,700 annual salary to her 401(k) plan. What is her pretax income?
NikAS [45]
You have that:

 - Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
 - Her annual salary is: $55,700.

 Then, to solve this problem and calculate her pretax income, you must following the steps below:

 1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:

 12%/100=0.12

 ($55,700x0.12)=$6,684 

 2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:

 Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
 What is her pretax income?

 The answer is: Her pretax income is </span>$49,016
7 0
3 years ago
Read 2 more answers
Write in numbers: seven times the quotient of 8 and 5
miv72 [106K]

Answer:

7(8×5)

7(40)

7×40

=280

6 0
2 years ago
Help please!!!! Best answers!!
Snezhnost [94]
A Probability near 1 Indicates an Unlikely Event . I'm Guessing
8 0
3 years ago
Read 2 more answers
Does anyone know how to do this?
Elanso [62]

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

5 0
2 years ago
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