2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°

Answer:

b = c = 75°

Step-by-step explanation:

b and 105° are adjacent angles and sum to 180° , then

b + 105° = 180° ( subtract 105° from both sides )

b = 75°

b and c are vertically opposite angles and are congruent , so

c = b = 75°

Answer:

$40,320 Ted has left.

Step-by-step explanation:

Answer:

-199.1

Step-by-step explanation:

18.8% × 7= 131.6%

630×131.6=82908   move the decimal two places to the left you get 829.08

630-829.08= -199.08 round to the nearest tenth you get -199.1

Answer:

D

Step-by-step explanation:

volume of a sphere is = to

v= 4/3pi(r^3)

Answer: 88 ft

Step-by-step explanation:

There are 2 sides that are 26 ft (multiply 26 by 2 to get 52)

There are 2 sides that are 18 ft (multiply 18 by 2 to get 36)

Add 52 and 36 together to get 88. Don't forget to add the units so it reads 88 ft.

Answer:

128degrees

Step-by-step explanation:

180-52=128

Answer:

$21,389.79

Step-by-step explanation:

Answer:

6x-1

Step-by-step explanation:

I dont know  how to explain but it is correct

Answer:

6x – 1

Step-by-step explanation:

Step-by-step explanation:

follow through that diagram. l have divided it into 3 figures A, B and C

Answer: 0

Step-by-step explanation:

Answer:

13.5/1.5 = 9

9/1.5 = 6

6/1.5 = 4

4/1.5 ≈ 2.7

Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

Answer:

B

Step-by-step explanation:

A and B are complementary angles because their values add up to 90 degrees. <DAB is a right angle, and therefore <EAB is as well.

Answer:

y = [tex]\frac{\pi}{3}[/tex]

Step-by-step explanation:

using the addition formula for sine

sin(x + y) = sinxcosy + cosxsiny

then

sinxcosy + cosxsiny = [tex]\frac{1}{2}[/tex] sinx + [tex]\frac{\sqrt{3} }{2}[/tex] cosx

for the 2 sides to be equal , then

cosy = [tex]\frac{1}{2}[/tex] and siny = [tex]\frac{\sqrt{3} }{2}[/tex]

then

y = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]

and

y = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex]

thus y = [tex]\frac{\pi }{3}[/tex]

[tex]\\ \rm\Rrightarrow sin(x+y)=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]

[tex]\\ \rm\Rrightarrow sinxcosy+cosxsiny=\dfrac{1}{2}sinx+\dfrac{\sqrt{3}}{2}cosx[/tex]

[tex]\\ \rm\Rrightarrow cosy+siny=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\Rrightarrow cos\dfrac{\pi}{3}+sin\dfrac{\pi}{3}=\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}[/tex]

Option B

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

[tex]\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77[/tex]

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

Learn more about the SSS similarity theorem here;

https://brainly.com/question/21247688

Answer:

77

Step-by-step explanation:

Answer:

Area of the parallelogram is 96 m^2

Step-by-step explanation:

The formula of Area of parallelogram: Area = Base * Height

Area = Base * Height

Area = 12 m * 8 m = 96 m^2.

Answer:

96m squared

Step-by-step explanation:

BxH=Area of parallelogram

12x8=96

Answer:

The two equations of each line is

y = x + 10 and y = -x + 5

I am unable to idenfity your option choices due to formating

Step-by-step explanation:

I've attached my work

Hope it helps, let me know if you have any questions/concerns !

Have a nice rest of your day :)

Answer: You must start with the parentheses first because you have to leave the x by itself.

Step-by-step explanation:

That means it would be turned into 3(-5x) =6.

Answer:

266.08

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi (3)^2 (8)

V = 72 pi

V = 72(3.14)

V is approximately 266.08

OR 72pi

Answer:

[tex]1\frac{89}{100}[/tex] m

Step-by-step explanation:

The formula to find the area of a rectangle: [tex]l * b[/tex], where [tex]l[/tex] is the length and [tex]b[/tex] is the breadth.

1) Substitute the values into the formula.

[tex]12\frac{3}{5} = 6\frac{2}{3} * b[/tex]

2) Change it to an improper fraction and solve for [tex]b[/tex].

[tex]\frac{63}{5} = \frac{20}{3} * b[/tex]

[tex]\frac{3}{20}[/tex] * [tex]\frac{63}{5}[/tex] = [tex]b[/tex]

[tex]\frac{189}{100} = b[/tex]

3) Change it to a mixed fraction because the length is in a mixed fraction. To do it, do a long division.

= [tex]1\frac{89}{100}[/tex]

Answer:

  a) 32

  b) 2 +5n

Step-by-step explanation:

Given the stick patterns shown, with 7, 12, 17 sticks, you want to know (a) the number of sticks in pattern 6, and (b) the number of sticks in pattern n.

The numbers of sticks in the patterns shown are ...

  7, 12, 17

The differences between these numbers are ...

  12 -7 = 5

  17 -12 = 5

That is, the first pattern has 7 and the common difference between patterns is 5. This indicates the sequence is arithmetic.

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

  an = 7 +5(n -1) = 7 +5n -5

  an = 5n +2 . . . . . . sticks in pattern n

The term when n=6 is ...

  a6 = 5·6 +2 = 32 . . . . . . sticks in pattern 6

__

Additional comment

We find it easier to determine sticks in pattern 6 by first determining the formula for pattern n.

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Answer:

C

Step-by-step explanation:

Because the input(x) does not repeat more than once

Answer:

A. It is not a function

B. It is not a function

C. It is a function

D. It is a function

Step-by-step explanation:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function.

Artificial Monopoly because as businesses join together to set prices that is called artificial monopoly, although the government does not allow businesses to come together to set prices equal because this is no market competition. Hope this helps

Answer:

1st option

Step-by-step explanation:

theequation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

5x + 2y = - 10 ( subtract 5x from both sides )

2y = - 5x - 10 ( divide terms by 2 )

y = - [tex]\frac{5}{2}[/tex] x - 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{2}[/tex]

Answer:

29

Step-by-step explanation:

87/3 is 29 its that easy

Answer:

21 m²

Step-by-step explanation:

Area of a trapezoid is given by the formula:

A = (a+b)/2×h

(where h is the vertcial height, and a and b are the parallel lines)

Substituting values given gives us:

A = (5+9)/2×3

A = 14/2×3

A = 7×3

A = 21

Units will be m² as this is area.

Answer:

21

Step-by-step explanation:

the formula is:

[(base1+base2)/2]*height
[(9+5)/2]*3

21

Answer: x/8

Step-by-step explanation:

take the length of the board and divide it by 8