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4 years ago

What is the value of x?

Mathematics

1 answer:

mr Goodwill [35]4 years ago

5 0

Answer:

x = 7

Step-by-step explanation:

Similar

The two triangles

1) the one making up the peak of the large triangle

2)the large triangle

are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.

Proportion

Therefore the sides are in proportion.

5/40 = 3/(2x + 10)

Solution

Cross multiply

5*(2x + 10) = 40*3

Remove the brackets on the left. Combine the right.

10x + 50 = 120

Subtract 50 from both sides

10x + 50 - 50 = 120 - 50

10x = 70

Divide by 10

10x/10 = 70/10

x = 7

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Pls help these are test corrections

GREYUIT [131]

Answer:

See explanation

Step-by-step explanation:

Given triangle has its vertices at points A(-4,-2), B(1,3) and C(3,-2).

Find all sides lengths:

$AC=\sqrt{(-4-3)^2+(-2-(-2))^2}=\sqrt{(-7)^2+(0)^2}=\sqrt{49+0}=\sqrt{49}=7\ units\\ \\AB=\sqrt{(-4-1)^2+(-2-3)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=5\sqrt{2}\ units\\ \\BC=\sqrt{(1-3)^2+(3-(-2))^2}=\sqrt{(-2)^2+(5)^2}=\sqrt{4+25}=\sqrt{29}\ units$

The longest side is AB.

By the Pythagorean theorem,

$AB^2=AC^2+BC^2\\ \\(5\sqrt{2})^2=7^2+\sqrt{29}^2\\ \\50=49+29\\ \\50=78$

This is false statemnt, so this triangle is not right triangle.

6 0

3 years ago

a biology class has a total of 34 students the number of males is 14 more than the number of females how many males and how many

Lena [83]

x: females

x+14: males

so 34=x+x+14

4 0

3 years ago

3(x-7) = 2 (x - 12) <br> i need help fast

gulaghasi [49]

Are you solving for X? If so, your answer will be x=-3. Hope this helps!

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3 years ago

Find the equation of the line. A line that is perpendicular to the graph of 3x +2y =6 and contains the point (6,-3)

aniked [119]

9514 1404 393

Answer:

2x -3y = 21

Step-by-step explanation:

The perpendicular line will have an equation with the x- and y-coefficients swapped and one of them negated. The constant will be the value that makes the equation true at the given point.

3x +2y = 6 . . . . . given equation

2x -3y = c . . . . . . coefficients swapped, one negated

2(6) -3(-3) = c = 21 . . . . . the value of c for the given point

The desired equation is ...

2x -3y = 21