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2 years ago

What is ¼(2.5 + c) (8) = 11

Mathematics

2 answers:

artcher [175]2 years ago

8 0

The answer is this c= 3

elixir [45]2 years ago

7 0

Answer:

Explanation:

¼(2.5 + c) (8) = 11

Multiply Both Sides By 4

(4) ¼(2.5 + c) (8) = 11 (4)

Simplify

8 (2.5 + c) = 44

Divide Both Sides By 8

8 (2.5 + c) / 4 = 44 / 4

Simplify

2.5 + c = ¹¹⁄₂

Subtract 2.5 From Both Sides

2.5 + c - 2.5 = ¹¹⁄₂ - 2.5

Simplify

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2 years ago

Please, with work, find the prime factorization of 60 and 140?

Brrunno [24]

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2 years ago

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In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

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2 years ago

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Question 9 (1 point)

Lisa [10]

Step-by-step explanation:

the answer is on the photo above

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2 years ago

1. A trapezoid has an area of 91 m2. The height of the trapezoid is 7 m and the measure of one base is twice the height. What is

Lynna [10]

The area of the trapezoid is given by:
A = (1/2) * (b1 + b2) * (h)
Where,
b1, b2: bases of the trapezoid
h: height
Substituting values we have:
91 = (1/2) * ((2 * 7) + b2) * (7)
Rewriting we have:
91 = (1/2) * (14 + b2) * (7)
(2/7) * 91 = 14 + b2
b2 = (2/7) * 91 - 14
b2 = 12 m
Answer:
The measure of the other base of the trapezoid is:
b2 = 12 m

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2 years ago

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