All categories

3 years ago

What is the answer to this

Mathematics

1 answer:

weqwewe [10]3 years ago

5 0

<h3>Answer: x = 29</h3>

=====================================================

Work Shown:

Focus on triangle DEC. We have angle C is 48 and D is 74. Let's find angle E.

D+E+C = 180

74+E+48 = 180

E+122 = 180

E = 180-122

E = 58

----------

In the sequences ABC and DEC, we have B and E as the second letters. The order is important because the angles must align properly (so we know how they pair up). Therefore, angle B = angle E because triangle ABC = triangle DEC.

Furthermore,

angle B = angle E

2x = 58

x = 58/2

x = 29

You might be interested in

Which shows three ordered pairs that are all solutions of the equation y = x + 4?

svetoff [14.1K]

When x = 1, y = 1 + 4 = 5

When x = 3, y = 3 + 4 = 7
When x = 5, y = 5 + 4 = 9
When x = 7, y = 7 + 4 = 11

Therefore, the correct answer is option D.

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

3 years ago

Ingrid collected 6 cans of food and 18 boxes of food for the food bank. Which describes the relationship between cans of food an

Nata [24]

Answer:

Ingrid collected 3 times as many Food boxes as she did cans of Food.

Step-by-step explanation:

Ingrid collected 6 cans of food from the food bank.

Ingrid collected 18 boxes of food from the food bank.

In order to determine the relationship

let cans of food = x = 6

So the boxes of food will be 3x = 3*6 = 18

So the relation between Cans of food and boxes of food will be

Ingrid collected 3 times as many boxes as she did cans

3 0

3 years ago

Read 2 more answers

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y r

Ratling [72]

Y > x
y = 2(3+x)
y = 3x-2
------------------------------
2(3+x) = 3x-2
2(3+x) - (3x-2) = 0
6 + 2x -3x + 2 = 0
8 -x = 0
x = 8
---------------------------
y = 2(3+x) = 2(3+8) = 22
y = 3x-2 = 3*8 -2 = 22
----------------------------------
x = 8 ; y = 22

7 0

3 years ago

Read 2 more answers

What value of n solves the equation 3^n=1/81 ?<br> A. –243 <br> B. –27 <br> C. –4 <br> D. 4

Shalnov [3]

This is fairly simple. You would just substitute the answer choices in for 'n'.
3^-243=0
So, A. isn't correct.
3^-27=1.31137265.....
So, B. isn't correct.
3^-4=0.123456789 In fraction form this is 1/81
So, we think C. is the correct answer, but just to be sure, let's try D.
3^4=81 In fraction form this would be 81/1.
So, C. is our answer.
Hope this helps!!

5 0

4 years ago