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3 years ago

How do you solve for x when you have this problem below please explain !!

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

$6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16$

Hence,

The value of x is 16

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(60 points to best answer) (asap please and thank you)

inna [77]

Answer: $83.\overline{3}\text{ feet}$

Step-by-step explanation:

Since, In the given diagram,

The sides of the triangles ABC and EDC are,

BC = 62 feet, DC = 93 feet and DE = 125 feet(given)

And, angles B and D are right angles,

⇒ $\angle ABC\cong \angle EDC$

$\text{Also, } \angle ACB\cong \angle ECD$ ( Vertically opposite angles )

By AA similarity postulate,

$\triangle ABC\sim \triangle EDC$

The sides of similar triangles are in same proportion ,

⇒ $\frac{AB}{ED}=\frac{BC}{DC}$

⇒ $AB \times DC = BC \times ED$

⇒ $AB = \frac{BC.ED}{DC}$

By substituting the values,

We get,

⇒ $AB = \frac{62\times 125}{93}$

⇒ $AB = \frac{7750}{93}=83.\overline{3}\text{ feet}$

3 0

4 years ago

Let g(x, y) = cos(x + 5y). (a) Evaluate g(10, −2). g(10, −2) = (b) Find the domain of g. −1 ≤ x ≤ 1, − 1 5 ≤ y ≤ 1 5 −5 ≤ x ≤ 5,

RoseWind [281]

Answer:

since $Cos(z)$ is a function defined for all $z\in \mathbb{R}$ , then there is not restriction for $x+5y$ , thus, the domain of $g(x,y)$ is $\mathbb{R}^2$ and in interval notation is $(-\infty,\infty)\times(-\infty,\infty)$

Since $Cos(x+5y)\in\mathbb{R}$ then the range of $g(x,y)$ is the interval [-1,1].

4 0

4 years ago

What decimal is equivalent to 500 thousandths and 8 hundredths?

Rzqust [24]

500 thousandths is equal to five tenths. Thus, we have a five in the tenths place and an eight in the hundredths place, so we have .58 as our answer.

7 0

3 years ago

Read 2 more answers

Geometry, please answer question ASAP

ale4655 [162]

BECAUSE ACCORDING TO THE PERIMETER (TRIANGLE ) FORMULA = B * H / 2.

B = BASE.

H = HEIGHT.

THE HEIGHT IS A VARIABLE VLAUE NEEDED IN ORDER TO ONTINUE TO SOLVE AND EVENTUALLY LEADING TO THE ANSWER (TRIANGLE PERIMETER.

7 0

3 years ago

What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the x for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let u in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$