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kirill115 [55]
3 years ago
15

ACDF is a trapezoid and

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10   and   A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

<u>So, the value of x is 7</u>

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The senior class at high school A rented and filled 3 vans and 6 buses with 306 students. High school B rented and filled 1 van
musickatia [10]

Answer:

8 students in each van ~ 22 in each bus

Step-by-step explanation:

- Equations:

8v + 8b = 240

4v + b = 54

------

- Modify:

8v + 8b = 240

8v + 2b = 108

------

- Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

-----

- Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)

7 0
3 years ago
Solve the equation p=2q + 2w for q.
elena-s [515]

Answer:

q =  1 /2 p − w

Step-by-step explanation:

4 0
3 years ago
What is the GCF for <br> 51, 85<br> and then<br> 40, 63
Alinara [238K]

Answer: 1

Step-by-step explanation:

5 0
4 years ago
Factor completely 2x5 + 10x4 - 22x3.
PIT_PIT [208]

Answer:  2x³(x² + 5x - 11)

<u>Step-by-step explanation:</u>

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

4 0
3 years ago
Twice the sum of five and x is eight less than x
Anna007 [38]
We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

     Finally the whole statement is:

4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18


4 0
3 years ago
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