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Solve for x using figure to the right. Pls answer this it is urgent

goldenfox [79]

Answer:

Therefore the value of x = 10 units

Step-by-step explanation:

Let label the Triangles first,

Δ ABC a right triangle at ∠ A =90°

Δ ADB andΔ ADC a right triangle at ∠ D =90°

Such that

AD = x

BD = 50

CD = 2

∴ BC = BD + DC = 50 + 2 = 52

To Find:

x = ?

Solution:

In right triangle By Pythagoras Theorem,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,

AB² = BD² + AD²

AB² = 50² + x² ..................equation ( 1 )

and

AC² = DC² + AD²

AC² = 2² + x² ...................equation ( 2 )

Now in right triangle Δ ABC,

BC² = AB² + AC²

Equating equation (1 ) and ( 2 ) and the given value we get

52² = 50² + x² + 2² + x²

∴ 2x² = 2704 - 2504

∴ 2x² =200

∴ $x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit$

Therefore the value of x = 10 units

8 0

3 years ago

Pllllllease help me asap

marishachu [46]

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

$slope=\frac{y_2-y_1}{x_2-x_1}$

Now, let's use this equation to solve for the rate of change of each question.

Problem 1:

$Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}$

The rate of change of this equation is 2/3

Problem 2:

$Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2$

The rate of change for this equation is 2

Problem 3:

$Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6$

The rate of change for this equation is 6

4 0

3 years ago

Can y’all please help me with those question

nasty-shy [4]

Step-by-step explanation:

The Fifteenth Amendment had the most long and short term effects. It helped the Republican Party to win in 1870, and this party brought extreme changes to the south. With the passing of this amendment, African Americans felt more empowered to participate in politics and hold office.

.

3 0

3 years ago

Read 2 more answers

Please help me thank you so much:)

gavmur [86]

Answer:

the answer would be 5

Step-by-step explanation:

because 3/4=.75 4 divided by .75= 5.33333 bout you can't cut .33333 so it would be 5

3 0

3 years ago

Find an expression for perimeter

user100 [1]

Step-by-step explanation:

Perimeter of a rectangle= 2(l+b)

= 2( 4m-1+3m+2)

=2(7m+1)

= 14m+2

8 0

2 years ago