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n200080 [17]
2 years ago
6

The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

t are the lengths of the bases?
Mathematics
1 answer:
slavikrds [6]2 years ago
6 0

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

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ONLY GIVING BRAINLYEST IF YOU ANSWER QUICKLY AND CORRECTLY
k0ka [10]

Answer:

B and D

Step-by-step explanation:

First, you have to solve the first equation. (Hint: you use the distributive property.)

2(5x + 2 + x)

10x + 4 + 2x

12x + 4

We can already see that B is correct and A is incorrect.

Now to solve C and D.

C = 2(5x + 3)

10x + 6

This is incorrect.

D = 2(6x + 2)

12x + 4

This is correct.

4 0
2 years ago
Read 2 more answers
Answer the questions below about Line 1 and Line 2 shown below.
givi [52]
  1. The expression was rewritten using the commutative law of addition.
  2. Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots.
  3. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

<h3>What is the commutative law of addition?</h3>

The commutative law of addition is also referred to as the law of cumulative addition and it states that if two numbers are added together, then, the outcome is equal to the addition of their interchanged position because addition is considered as a binary operation.

This ultimately implies that, the sum of addends would always be the same (equal) regardless of their arrangement in accordance with the commutative law of addition. Mathematically, the commutative law of addition can be represented using the following formula:

A + B = B + A.

In this context, we can reasonably infer and logically deduce that the given expression was rewritten using the commutative law of addition.

In conclusion, Line 1 says 3 + 4, which could be represented using dots as ••• + •••• for a total of 7 dots. Line 2 says 4 + 3, which could be represented using dots as •••• + ••• for a total of 7 dots.

Read more on commutative law of addition here: brainly.com/question/778086

#SPJ1

6 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Csf%2015%3D2x-9" id="TexFormula1" title="\sf 15=2x-9" alt="\sf 15=2x-9" align="absmiddle" cl
Genrish500 [490]

Answer:

x=12

Step by step explanation:

Step by step explanation:Add 9 to both sides :

15 = 2x - 9

15 + 9 = 2x - 9 + 9

Simplify:

24 = 2x

Divide both sides to get the result:

24 = 2x

24/2 = (2x)/2

Result:

x=12

\boxed{\sf Answered \: By\: Subhash}

\boxed{\sf Good\: luck \: for \: your \:assignment}

7 0
2 years ago
HELP ASAP
tia_tia [17]
2,700 / 12 = 225
225 / 5 = 45
They can make 45 necklaces.








3 0
3 years ago
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to
hram777 [196]

Answer:

\frac{63}{15  - c} - \frac{63}{15  + c} = 4

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

\frac{63}{15  - c} - \frac{63}{15  + c} = 4

5 0
2 years ago
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