Find the value of x in each figure

Find The Value Of X In Each Figure

Answers

Answer 1

Answer:

Value of variable 'x' is 18.

Step-by-step explanation:

From the picture attached,

In right triangle XYZ,

m(∠YXZ) = (3x + 11)°

m(∠XYZ) = 90°

m(∠XZY) = 25°

By applying triangle sum theorem in the given triangle,

m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°

(3x + 11)° + (25)° + (90)° = 180°

3x + 126 = 180

3x = 54

x = 18

Therefore, value of variable 'x' is 18.


Related Questions

Choose the correct simplification of a^5b^6/a^4b^4

Answers

Answer:

answer is b²a is the correct answer

Step-by-step explanation:

happy to help :)

Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *

Answers

Answer:

80% of the class is made up of boys

Step-by-step explanation:

7/35 are girls, which means, 28/35 are boys (35 - 7)

To find the percentage, you divide 28 by 35

28/35 = 0.8 or 80%

The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?

Answers

Answer:

10^20

Step-by-step explanation:

So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.

Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.

So in this case, we will just add since it calls for multipactation.

So we need to solve:

10^13+7

This will just equal:

10^20 power

Hope this helps ;)

You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?​

Answers

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2


Someone please help me asnwer this!!

Answers

Answer:

89 cm

Step-by-step explanation:

By Pythagoras Theorem,

c² = 80² + 39²

c² = 6400 + 1521

c² = 7921

c = 89 cm

Hope it helps :)

Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]


[tex] \frac{4}{9} + \frac{1}{2} [/tex]

Answers

The first one is 43/72 which can’t be simplified

The second one is 17/18


Given f(x) = 6(1-x), what is the value of f(-8)?

Answers

Answer:

7/3

Step-by-step explanation:

1x6

1x(-x)

subtract and solve

What expression is undefined

Answers

Answer:

Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.

To find:

Which of the four expressions are undefined, or not possible to calculate.

Steps:

Lets go through each option one by one

Option A:

[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.

[tex]-\frac{0}{2}= -0 = 0[/tex]

Since option A is defined. Now lets go to option B

Option B:

[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]

this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.

Therefore option B is undefined. We found out the answer but lets continue for learning purposes.

Option C:

0 ÷ 11 = [tex]\frac{0}{11}[/tex]

This expression is similar to the first expression, where zero is divided by any number.

[tex]\frac{0}{11} = 0[/tex]

Therefore option C is defined. Now let continue to option D

Option D:

[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]

In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate

Therefore option D is defined.

Happy to help :)

If u need any more help feel free to ask

factor by grouping 20i^3-25i^2+4i-5

Answers

the answer is (4x-5)(5x^2+1)

What is equivalent to 3n+2(1-4n)

Answers

Answer:

-5n + 2

Step-by-step explanation:

distribute 2 into (1 - 4n)

3n + 2 - 8n = -5n + 2

HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

( 4 x 10 y )

Step-by-step explanation:

4. What type of sequence is this? *
6.6, 7.2, 7.8, 8.4, 9, ...
lArthimetic
Geometric
Neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

We are given the sequence :

6.6, 7.2, 7.8, 8.4, 9, ...

We need to determine whether it is arithmetic, geometric, or neither.

Arithmetic sequences are a bunch of numbers that gradually increase or decrease through equal amounts of adding or subtracting.

Geometric are the same thing but the numbers are gradually increasing or decreasing through multiplication or dividing.

Looking at the sequence, we notice that 0.6 is added into every single number to reach the one next to it.

It fits the description of an arithmetic sequence, therefore the sequence is arithmetic.

Arithmetic hhhhhffrtujbvc

Explain distributive property

Answers

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

A coin and a number cube with the numbers 1 through 6 are tossed. What

is the probability of the coin showing tails and the number cube showing

the number 3?

a. 1/12

b. 1/4

c. 1/8

d. ½
with some justification please ​

Answers

Answer:

yes

Step-by-step explanation:

opo

quadratic formula to find the zeros
b^2-4b+4=0

Answers

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

This is a relative frequency table. Can some one help?

Answers

Answer:

Step-by-step explanation:

it's an unfair question b/c we have to know if it's out of all girls or out of all kids.  So we need to know the population total.   so if it was just girls the it's

3/45 = 0.0666666666666...

if it's out of kids.. then it's  3/123= 0.02439....

so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question.  maybe this is more to the question not shown in the picture?  hmmmm

The legs of a right triangle are 24 in and 9 in. What is the length of the hypotenuse? Round to the nearest tenth.

Answers

Answer:

25.6

Step-by-step explanation:

24^2 + 9^2=h^2

576+81=h^2

657=h^2

25.6=h

The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the integers.

Answers

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

look at pic 10 pts will mark brainilest

Answers

Answer:

12h = 432

Step-by-step explanation:

What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.

Answers

Answer:

A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.

Step-by-step explanation:

HELP WILL GIVE BRANLIEST!!

Answers

Answer:

the answer is the first option

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

2 and 4
The number 3,124 when divided by 2 gives you 1,562, and when 3,124 is divided by 4 it gives you 781.

Find the lengths of the legs.
(NO LINKS)

Answers

Given:

The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]

To find:

The lengths of the legs.

Solution:

Two angles are given. By using the angle sum property, the third angle is:

Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]

                   = [tex]45^\circ[/tex]

Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.

Let x be the lengths of both legs. Then by using Pythagoras theorem, we get

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

[tex](10)^2=x^2+x^2[/tex]

[tex]100=2x^2[/tex]

[tex]\dfrac{100}{2}=x^2[/tex]

[tex]50=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{50}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].

Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.


Answer choices
10%
30%
25%
No links no links I will report

Answers

I think 25% I’m sorry if I’m wrong but it seemed more reasonable

Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?

Answers

Answer:

9 pieces represent 3/ 4 because

3/4 × 12 parts = 9 parts

mark me as brainliest

Answer:

9 pieces

Step-by-step explanation:

12 x 3/4 = 9 or

3/4 converted to a decimal = .75 and 12 x .75 = 9

Below are two parallel lines with a third line intersecting them

Answers

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3

Answers

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

I want to know if I am correct. I forgot how to do this and I am helping out little brother

Answers

No credit is added evening else is a loss

question in screenshot

Answers

cosC would be C.12/13
Explanation: When you simply that’s the answer.

Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours

Answers

Answer:

x564.99

Step-by-step explanation:

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