will give brainliest to first answer+20pts
In the figure shown, what is the measure of angle x?

Triangle ABC has measure of angle BAC equal to 30 degrees and the measure of angle ABC is equal to 75 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.

Answer:

D) 15

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}[/tex]

Step-by-step explanation:

[tex]| 8x - 5 | < - 3[/tex]

[tex]8x < - 3 + 5[/tex]

[tex]8x < 2[/tex]

[tex] \frac{8x}{8} < \frac{2}{8} [/tex]

[tex]x = \frac{1}{4} [/tex]

Answer:

x = 1/4

Step-by-step explanation:

Answer:

17.2 to the nearest tenth.

Step-by-step explanation:

Use the Pythagoras theorem

If x is the length of the ladder:

x^2 = 14^2 + 10^2

x^2 = 296

x = √296 = 17.2047

The Factorization of 121b⁴ − 49 is (11b^2 + 7)(11b^2 - 7).

The equation 121b⁴ − 49

To find the Factorization of 121b⁴ − 49.

The factor of a^2-b^2 is  (a+b)(a-b)

We have write the given equation in the form of a^2-b^2

[tex]= 121b^4 - 49\\= (11b^2)^2 - 7^2\\= (11b^2 + 7)(11b^2 - 7)[/tex]

Therefore the factor of the 121b^4 − 49 is (11b^2 + 7)(11b^2 - 7).

To learn more about the factor visit:

https://brainly.com/question/25829061

Answer:

(11b2 + 7)(11b2 − 7)

Step-by-step explanation:

just did the test

Answer:

y=3

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

first the slope:

[tex]m = \frac{3-3}{-7-5} =0[/tex]

The equation

[tex]y-3=0(x-(-7))\\y-3=0[/tex]

[tex]y=3[/tex]

The line is parallel to the "x" axis, has no slope.

Hope this helps

Answer :: 7

Explanation ::

Okay, I'm going to stretch this explanation long so people can understand! Hopefully this helps :) I will also provide a shorter explanation so if people want to find out how to do it quicker without details to help you understand better, they can read the shorter explanation!

- long explanation -

Equation provided from the info :: (x * 2) + 1 = 15

We need to find out what number is the x. First of all, one way to do it is do the equation backwards. And the operators will be the opposite too, for example addition is the opposite of subtraction and multiplication is the opposite of division. Now once we flip the equation it should look like this:

(15 - 1) / 2 = x

Let's break the equation apart so it's easier to work with. Remember, the rule PEMDAS. Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Why I put "and" between some words, is because they are the same level and you should go left to right from the equation. So the equation in parentheses is (15 - 1). So we just have to solve it! The answer is 14, which is an even number, so we don't have to fiddle with decimals. But if you want to know how to divide an odd natural number, feel free to comment on this answer! The equation should look like this:

14 / 2 = x

Now, all we have to do now is divide 14 in half! As someone who memorised their whole multiplication and division table, it's easy for me to figure it out. But if you haven't, try using addition! All you have to do is count up your numbers.

1 + 1 = 2

2 + 2 = 4

3 + 3 = 6

4 + 4 = 8

5 + 5 = 10

6 + 6 = 12

7 + 7 = 14!

So now we know 14 / 2 is 7. Sorry if this is too easy, I'm just giving attention to some who learn slowly, which is absolutely alright! So now we have our 2 answers. The equation now looks like this:

14 / 2 = 7.

Well we now know what the x is, and if you want to make sure it's the correct answer just flip the equation!

(7 * 2) - 1

7 * 2 = 14

14 - 1 = 15

Your answer is the same one provided, so the number is 7!

- short explanation -

The equation with the numbers provided is (x * 2) + 1 = 15

Let's flip the equation so it's easier! It should look like this:

(15 - 1) / 2 = x

Now all we have to do is solve it!

15 - 1 = 14

14 / 2 = 7

So our answer is 7! To check if the answer is correct, just re-do the unflipped equation!

(7 x 2) + 1 = ??

7 x 2 = 14

14 + 1 = 15

15 is the answer given in the text, so 7 is the correct answer.

Answer:

f(g(x)) = 9x² + 15x + 2

Step-by-step explanation:

Solving f(g(x))

Answer:

[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Step-by-step explanation:

Step 1:  State the equations

[tex]f(x) = x^2 + 5x + 2[/tex]

[tex]g(x) = 3x[/tex]

Step 2:  Insert the equation and solve

[tex]f(g(x)) = (g(x))^2 + 5(g(x)) + 2[/tex]

[tex]f(3x) = (3x)^2 + 5(3x) + 2[/tex]

[tex]f(3x) = 9x^2 + 15x + 2[/tex]

[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Answer:  [tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Answer:

[tex]log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Step-by-step explanation:

[tex] log_{8} \frac{11}{x}= log_{8} 11 -log_{8} x[/tex]

Answer:

(a) 1,028,160

(b) 8,568

Step-by-step explanation:

(a)

[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]

(b) 18! / (5! 13!) =

[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]

Answer:

k ±16

Step-by-step explanation:

Evaluate x^2 + 8 x + k where x = -4:

x^2 + 8 x + k = k - 4 8 + (-4)^2

(-4)^2 = 16:

k - 4 8 + 16

8 (-4) = -32:

k + -32 + 16

Grouping like terms, k - 32 + 16 = k + (16 - 32):

k + (16 - 32)

16 - 32 = -16:

Answer:  k ±16

Answer:

The answer is

k=−11

Explanation:

Let

f(x)=x^3−6x62+kx+10

If (x+2)is a factor

Then,

f(-2)=0

f(−2)= −8− 24 − 2k + 10= 0

2k=-22

k=−11

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4f-3 = 5f-6

First I would try to get the f's on one side and the other numbers on the other, to do this you woudl have to add 6 to both sides

4f -3 = 5f -6

  +6         +6

Making it into: 4f + 3 = 5f

Now to get the 4f on the other side we will have to subtract it from both sides

4f +3 = 5f

-4f         -4f

3= f  (Remember you do not have to put the 1, making 3 your answer)

answer is 1 1/2

hope it helps...!!!

The wire is attached to the pole at 18 root3 ft high.

We have given that,

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.

This is a right triangle formed of which hypotenuse is

h=36ft.

Angle is θ=60degree

Let P be the height of pole.

[tex]\frac{Opposite\ side}{hypotenous}[/tex]

then, sin60=P/H or root3/2=P/36

P=36√3/2

or

P=18√3ft.

The wire attached to the pole at P=18√3ft.

To learn more about the pole visit:

https://brainly.com/question/1302818

#SPJ1

Answer:

4.16

Step-by-step explanation:

VW = 6

hope it helps...!!!

Answer:

a = 180 - 150 = 75

x = 180 - 75 = 48

x = 57

Answer:

The answer is 37.

Step-by-step explanation:

Step 1: To find the output, k, we need to substitude 3 into the equation for t.

Step 2: k = 13t - 2

k = 13 x 3 - 2

= 39 - 2

= 37

Step 3: When the input is 3, the output is 37.

Answer:

r = 728   ( there might be an easier way! )

Step-by-step explanation:

w/r = 3/8       then   w = 3/8 r

b/w = 2/7       b = 2/7 w     sub in the above equation  b = 2/7 (3/8 r) = 6/56 r

r + w + b = 1079

r + 3/8 r + 6/56 r = 1079

  r = 728

Answer:

raju is 20 years old while the father is 40 years old

Step-by-step explanation:

present : lets assume raju is x years old so the father will be 2x

after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs

therefore :

(x+10)+(2x+10)=80

liketerms together

x+2x+10+10=80

3x+20=80

3x=80-20

3x=60

simplify

x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old

Answer:

Your median is 40

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The distance between point C and the y axis is 2 units

The distance between point A and the y axis is 9 units

2<9

D

Answer:

its d, point c is closer to the y-axis than point a

Step-by-step explanation:

Answer:82

Step-by-step explanation:

90 + 90 × 10%

= 90 + 90 × 0.10

= 90 + 9

= 99

Answer:  A 12 vertices

i got a 100 on unit test on edge

Step-by-step explanation: because a polyhedron that consist of 6 squares and 8 triangle and has 24 edges is a Cuboctahedron which has 12 vertices

https://en.wikipedia.org/wiki/Cuboctahedron

Answer:

12

Step-by-step explanation:

edge 2023

Answer:

Answer are in the steps.

Step-by-step explanation:

Most of the problems is parallelogram some angles are the same. 2 angles add up to 180° are known as supplementary angles also known as linear pair.

#1:

<1 = 148° , <2= 32° , <3 = 148° , <1 = 32° , <5 = 148° , <6 = 32° , <7 = 32°

#2: All of them are 90° because of linear lines that add up to 180° / parallelogram.

#3: If <1 = 130°, then <8 = 148°.

Because Parallelogram <1 and <8 transversal.

#4 If <5 = 53° , then <3 = 127°

Because <5 = <4 so <5 + <3 = 180°

#5 If <7 = 71° , then <3 = 109°

Because <7 + <3 = 180°

#6 If <4 = 65° , then <6 = 115°

Because <5 = <4 so <4 + <6 = 180°

Answer:

344 ft

Step-by-step explanation:

This is the equation for a dome shaped parabola

The TIME of the highest point is found by  

   t = - b/2a = - 144/(2 * -16) = 4.5 sec

Sub this value of t into the equation to find max height = 344 ft

Step-by-step explanation:

We know the area of a circle is

[tex]\pi {r}^{2} [/tex]

That is when the cricle is 360 degrees full, so another formula is

[tex] \frac{360}{360} \pi {r}^{2} [/tex]

If we the find the area of the sector with angle x, then that formula will be

[tex] \frac{x}{360} {\pi}r^{2} [/tex]

Answer:

The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.

Step-by-step explanation: