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2 years ago

The coordinates of the vertices of ΔABC are A(−5, 1), B(−5, −1), and C(−1, −1). Find the side lengths and the angle measures.

Mathematics

1 answer:

givi [52]2 years ago

7 0

Answer:

is b

Step-by-step explanation:

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HELP PLEASE!!! I need help with this question!

AlexFokin [52]

Answer:

$\large\boxed{PS=10\sqrt5}$

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

$\dfrac{QR}{RP}=\dfrac{RP}{RS}$

We have:

$QR=5,\ RS=20$

Substitute:

$\dfrac{5}{RP}=\dfrc{RP}{20}$ <em>cross multiply</em>

$RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10$

Use the Pythagorean theorem:

$PS^2=PR^2+RS^2$

Substitute:

$PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5$

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2 years ago

On a number line what numbers are between 4 and 5

marissa [1.9K]

The numbers can include; 4.1, 4.2, 4.3, 4.4, 4.5, etc.

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2 years ago

Choose the slope-intercept form of y + 3 = 4(x - 5).

Scrat [10]

Answer: y=4x-23

Step-by-step explanation:

First multiply the 4 on the right side to make it y+3=4x-20. Then subtract 3 on both sides to get y=4x-23

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Explain how to find the axis of symmetry for each function<br> h(x)<br> The graph goes under h(x)

AleksAgata [21]

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Advocard [28]

5) x = 5,3

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