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son4ous [18]
3 years ago
12

In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

AH = \sqrt{51}

Step-by-step explanation:

The opposite sides of a rectangle are congruent , so

GH = RA = 7

Using Pythagoras' identity in right Δ GHA

AH² + GH² = GA²

AH² + 7² = 10²

AH² + 49 = 100 ( subtract 49 from both sides )

AH² = 51 ( take the square root of both sides )

AH = \sqrt{51} ≈ 7.14 ( to 2 dec. places )

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Unit 3, Lesson 7
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Answer:

Find the complete table in attached file.

Step-by-step explanation:

Find the Incomplete table in attached file

Given:

A car travels 55 miles per hour for 2 hours.

So the speed of the car 55 miles per hour is constant for 2 hours.

Using speed  formula.

Speed=\frac{distance}{time}

Second row.

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Speed=\frac{distance}{time}

55=\frac{distance}{0.5}

distance = 55\times 0.5

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Third row.

From the third row of the table time =1\frac{1}{2}=\frac{3}{2} = 1.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

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Fourth row.

From the fourth row of the table distance =110\ miles and speed is constant speed = 55\ mi/hr, so we need to find time.

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8 0
3 years ago
Which of the following pairs of triangles can be proven congruent by ASA?
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3 years ago
∠A and ∠B are supplementary. m∠A = (6x + 5), m∠B = (2x + 15). Find the measure of each angle.
Anastaziya [24]

Answer:

125 and 55

Step-by-step explanation:

180=8x+20

160=8x

x=20

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4 0
4 years ago
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julia-pushkina [17]
<h2>Answer:  a = ¹/₂ (4 + b)</h2>

<h3>Step-by-step explanation:</h3>

To solve for 'a' we have to make it the subject of the equation. Since there are two unknowns ('a' & 'b'), we won't get a numerical value of 'a', but an expression in terms of the second unknown 'b'.

Since 2a - b = 4                    <em> [add 'b' to both sides]</em>

then          2a = 4 + b             <em>[divide both sides by 2 = multiplying by  ¹/₂]</em>

                   a = ¹/₂ (4 + b)

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3 years ago
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