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dolphi86 [110]
4 years ago
10

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!

7 0
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

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3 years ago
You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9
Ierofanga [76]

Answer:

1498.17

Step-by-step explanation:

formula A = P(1 + \frac{r}{100}  )^{n} where r is the rate of interest compounded and n is the number of times compounded.

r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months

n = 9 x 12 = 108 ( 9 years in months)

A = 1000(1 + \frac{0.375}{100})^{108} = 1498.167

4 0
3 years ago
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