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3 years ago

I need help in this

Mathematics

1 answer:

svlad2 [7]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions

VikaD [51]

60/40 *50 = 75

75 revolutions

8 0

3 years ago

Find the distance. -3,5 and 7,-1

Brilliant_brown [7]

Answer:

≈ 11.66 units

Step-by-step explanation:

Given points:

(-3,5) and (7,-1)

To find:

The distance between the given points

The distance between two points is calculated by formula:

d= √((x2-x1)² + (y2-y1)²)

d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units

Answer is ≈ 11.66 units

8 0

3 years ago

SOMEONE PLEASE HELP ME!!! I REALLY NEED SOME HELP!!!

Lostsunrise [7]

Answer:

A. (1, -2)

Step-by-step explanation:

We can substitute the variables of x and y into the inequality of $y < -|x|$ .

Let's start with A, -2 being y and 1 being x.

$-2 < - |1|$

The absolute value of 1 is 1, and negating that gets us -1.

$-2 < -1$

Indeed, -2 is less than -1! So A is a solution to the inequality.

Let's test the rest of them, just in case.

For B:

$-1 < -|1|$

Absolute value of 1 is 1, negating it is -1.

$-1$

-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.

Let's try C.

$0 < -|1|$

Absolute value of 1 is 1, negating it is -1.

$0 < -1$

0 is GREATER than -1, so that is not a solution to the inequality.

Hope this helped!

4 0

3 years ago

In general, the median of a data set is less resistant to outliers than the mean. A. True B. False

Leto [7]

A. true, the median of a data set is less resistant to outliers than the mean

7 0

3 years ago

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