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Mars2501 [29]
3 years ago
15

The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of

the trapezoid, and h is the height of the trapezoid. Rewrite the formula to find the base b2.
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
8 0

2(\frac{Area}{h} ) - b1 = b2

Step-by-step explanation:

The formula for calculating the area of a trapezoid is the following.

Area = \frac{b1+b2}{2} * h

What we are asked to find is the formula for finding b2. We can do this by rearranging the Area formula and getting b2 by itself on one side.

Area = \frac{b1+b2}{2} * h

\frac{Area}{h} = \frac{b1+b2}{2} .....divide h on both sides

2(\frac{Area}{h}) = b1+b2 .... multiply 2 on both sides

2(\frac{Area}{h} ) - b1 = b2 ....subtract b1 on both sides

Now we have b2 by itself on one side and the formula is rewritten to solve for b2.

andre [41]3 years ago
7 0

Answer:

b2=2(A)/h -b1

Step-by-step explanation:

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Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+
QveST [7]

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87

5 0
3 years ago
Please help me on this problem
Orlov [11]

Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅  FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

       Statements                                 Reasons

a. ∠DAF ≅ ∠EBF       ...........................Given

<u>48. ∠DFA ≅ ∠EFB  </u>..........................Vertical Angles are congruent

DF ≅  FE                 ..........................<u>.49. Given</u>

50.<u> Δ ADF ≅ Δ BFE </u>.......................<u>..By Angle-Angle-Side test</u>

6 0
3 years ago
Please help!!!!<br> Thank you!
Rudik [331]

Answer:

option 3, 900 square units

Step-by-step explanation:

area=20*(32+13)

=900

7 0
3 years ago
Read 2 more answers
3x−(2x+1) for x=7 5/13
marusya05 [52]

Answer:

83/13 or 6.3846

Step-by-step explanation:

i subsituted for x and used a calculator

8 0
3 years ago
Can somebody please clearly (and correctly) explain how to successfully work out this question?
STatiana [176]

Answer:

No

Step-by-step explanation:

To calculate the number of tiles needed

divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row

divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column

number of tiles = 20 × 15 = 300

number of packs = 300 ÷ 10 = 30

cost = 30 × £34.99 = £1049.70

Since she has £1000 to spend and £1049.70 > £1000

She does not have enough to cover the wall




6 0
3 years ago
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