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vladimir2022 [97]
3 years ago
14

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.

<u>Corresponding angles are congruent.</u>

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 â€"" 500 = 0? Use factoring to solve.
liq [111]

All the values of the <em>x</em> <em> </em>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 <em>u </em>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

further, solve it,

x^2=5

x=\sqrt{5},-\sqrt{5}

And another factor is

x^2+100=0

x^2=-100

x=10i,-10i

Hence, all the values of the <em>x </em>for the given function are \sqrt{5},-\sqrt{5},  10i , and  -10i.

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0
3 years ago
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