Answer:
(d) 1 mile = 10 blocks
Step-by-step explanation:
The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...
d² = 8² +15² = 64 +225 = 289
d = √289 = 17 . . . blocks
The problem tells us this represents 1.7 miles, so the proportion is ...
blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile
The map scale is 1 mile = 10 blocks.
<h2>
Answer: slope = - ¹³/₁₇
</h2>
Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
1/8 has 1, 1/4 has 2, 3/8 has 3, 1/2 has 4, 5/8 has 2, and 3/4 has 3. Step-by-step explanation:
answer a)
soln,
or, 4x + 84 = 180° [being co-interrior angle]
or, 4x = 180 - 84
or, 4x = 96
or, x = 96/4
x = 24
answer b)
soln,
or, 2x + 5 = 135° [being corresponding angle]
or, 2x = 135 - 5
or,2x = 130
or, x = 130/2
x = 65°
Step-by-step explanation:
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