2 years ago

Which theorem or postulate proves the

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

8 0

Answer:

AA postulate the two triangles are similar

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Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/

Lana71 [14]

$(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
-\frac{3}{2}=\frac{-9}{10-x} \\
-\frac{3}{2}(10-x)=-9 \\
10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
10-x=6 \\
-x=6-10 \\
-x=-4 \\
\boxed{x=4}$

6 0

3 years ago

Sue had 5 identical bags of candy to share with the crew. Twenty-five pieces of candy disappeared. Ted had 4 bags with the same

inna [77]

Answer:

Each bag originally had 35 pieces of candy

Step-by-step explanation:

Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;

5x - 25 candies left.

We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.

He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10

Finally, we are told that Sue and Ted now have an equal number of candies.

Thus;

5x - 25 = 4x + 10

Rearranging, we have;

5x - 4x = 25 + 10

x = 35

Thus, each bag originally had 35 pieces of candy

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3 years ago

If a green light blinks every 4 seconds and a yellow light blinks every 5 seconds. When will both lights blink at the same time?

Andre45 [30]

Answer:

20 seconds

Step-by-step explanation:

i think this is right

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3 years ago

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Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?

Mkey [24]

Answer: Q1 10 Q216 Q3 8

Step-by-step explanation:

BECAUSE I THIK THAT IS THE ANSWER

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2 years ago

What does the phrase between 7.2 and 7.6 inclusive mean

Naddik [55]

It means that if u subtract idk lol

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3 years ago