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I am Lyosha [343]

4 years ago

14

Are triangles PRU and STQ congruent?

1 answer:

san4es73 [151]4 years ago

7 0

No, triangles PRU and STQ are not congruent. Even though their angles are the same, different triangles can be constructed out of triangles with the same angles. Looking at the picture, one can also see the difference in size between the two triangles.

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HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal

PSYCHO15rus [73]

Answer:

$20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it$

7 0

3 years ago

the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10

In-s [12.5K]

Answer:

$k= \frac{-34}{3}$

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

<u>Step 1:-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} }$

$m_{1} m_{2} = -1$

<u>Step 2:-</u>

The given points are (-8,k) and (-4,-8)

$m_{1} = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

finding slope of the first line is $m_{1}$

using formula $m_{1} = \frac{-8-k}{-4+8}$

= $\frac{-8-k}{4}$

finding slope of the second line is $m_{2}$

using formula $m_{2} = \frac{--5+11}{5-10}$

= $\frac{6}{-5}$

<u>Step 3:</u>-

using perpendicular condition

The two lines are perpendicular and their slopes are

$m_{1} m_{2} = -1$

$(\frac{-k-8}{4} )(\frac{-6}{5} )= -1$

simplification,we get solution is

$\frac{6(k+8)}{20} =-1$

$6 k+48 =-20$

$6 k = -20 -48$

$6 k = -68$

$\frac{-68}{6}$

$k= \frac{-34}{3}$

<u>Final answer is </u>

$k= \frac{-34}{3}$

8 0

3 years ago

Please help! EXPLAIN! BRAINLIEST, STARS, and HEARTS if correct!

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3 years ago

A cookie recipe calls for 2 cups of sugar for every 3 cups of flour.complete the table to show equivalent ratios for this recipe

pochemuha

Sugar Flour

1 1.5

2 3

3 4.5

4 6

To find any number, create a ratio of 1/1.5=cups of sugar/cups of flour then cross multiply and solve to get any answer you may need.

5 0

3 years ago

A substance has a volume of 20 mL and a density of 2.5 g/mL. What is its mass? (4 points)

Lemur [1.5K]

Answer:

M=50 grams

Step-by-step explanation:

D=M/V

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8 0

4 years ago