1
Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle. What is the measure of the angle?
Type in the number only
The measure of the angle is

Answers

Answer 1

Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°


Related Questions

Divide x^3 - x - 6 by x - 2

Answers

Answer:

x^2 +2x + 3

Step-by-step explanation:

x^3 - x -6 / x-2

Step one - FACTOR x^3:

(x-2)(x^2+2x+3) / x-2

Step two - CANCEL the common factor of x-2

x^2+2x+3

The height of the building in the drawing is 12 inches. If each inch represents 3 feet, how tall is the building?

Answers

Answer:36 ft

Step-by-step explanation:

1 inch = 3ft

and there’s 12 inches on the scale

so 12(3)=36

Answer:

36 feet

Step-by-step explanation:

Since each inch represents 3 feet, 3 times 12 will equal 36.

what is the quotient -3/8 and -1/3

Answers

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

In order to find the answer to this question you will have to use KCF (Keep, Change, Flip) on the equation and then multiply.

[tex]-\frac{3}{8} \div-\frac{1}{3}[/tex]

Use KCF:

[tex]-\frac{3}{8} \times-\frac{3}{1}[/tex]

Now multiply:

Negative times a negative equals a positive.

[tex]3\times3=9[/tex]

[tex]8\times1=8[/tex]

[tex]=\frac{9}{8}[/tex]

Hope this helps.

Answer: 9/8

Explanation: It's important to understand that dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.

So our problem can be rewritten as (-3/8) · (-3/1).

Remember that a negatives times a negative is a positive.

So (-3/8) · (-3/1) is 9/8.

Remember, multiply across the top and bottom.

Please someone help me I need the right answer just tell me the right answer please

Answers

Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

I am going to advance Neptune is 96 years from earth I tell you that 1 light year this distance of traveling light in a vacuum in the span of a year since light travels 299,792,458 light kilometers is a huge distance: it is equivalent to 9,460,730,472,580.8 km tell me if it is addition subtraction or what? and well if with the answer

Answers

Answer:

It is multiplication

Step-by-step explanation:

It is multiplication because when you divide 9,460,730,472,580.8 by 299,792,458 you will get 31557.6 so that means,

9,460,730,472,580.8/299,792,458 = 31557.6

so, 299,792,458 * 31557.6 = 9,460,730,472,580.8

So the answer is Multiplication by 31557.6

Let me know if it was Helpfull.

What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04

Answers

Answer:

4

Step-by-step explanation:

I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.

A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?

Answers

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned

Answers

Answer:

20%=3800 => all of it is 19000

i didn't undrestand what do you want

sorry:)

If Fx) = 9x-8, which of the following is the inverse of F(x)?

Answers

Answer:

f(x)=9x-8

y=9x-8 replace y with x

x=9y-8

x+8=9y

y=(x+8)/9

f^-1(x)=(x+8)/9

Step-by-step explanation:

What do a kite and a rhombus have in common?

Answers

Answer:

Their diagonals intersect at right angles

They are quadrilaterals

Opposite angles are equal

Step-by-step explanation:

Answer:

their shapes

Step-by-step explanation:

they have same corners

Lexie has dimes and ten dollar bills in her pocket. The number of dimes is six more than two times the number of ten dollar bills. Let t represent the number of ten dollar bills. Write an expression for the number of dimes

Answers

Answer:

d=6+2t

Step-by-step explanation:

Let

t=number of ten dollar bills

d=number of dimes

Number of dimes is six more than two times the number of ten dollar bills

d=6+2*t

d=6+2t

Plz urgent urgent urgent please❤️

Answers

Answer:

6566

Step-by-step explanation:

Answer:

6566

Step-by-step explanation:

Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"


A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15​

Answers

The answer is a. 3n - 4 = 15

Answer:

The correct option is a) 3n - 4 = 15

Step-by-step explanation:

The product of 3 and a number means 3 multiplied by a number (n)

So it'll be 3*n or simply 3n

Now, it says 4 less than the product

So 4 less than 3n

That is equal to 3n minus 4 or 3n -4

So we come to the conclusion that

3n - 4 = 15

Hope this helps!

In bowling, knocking down all of the pins with the first ball of a frame is called a strike. Roni is practicing bowling and gets a strike times out of attempts. Her goal is to have a minimum strike rate of . Which inequality could Roni use to determine the minimum number of consecutive strikes she needs to achieve her goal?

Answers

Answer:

[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]

At least 6 strikes

Step-by-step explanation:

The required numerical data is missing from the question. In the original question, Roni gets a strike 2 out of 10 times and her goal is to have a minimum strike rate of 50%. The number of consecutive strikes required is given by the following inequality:

[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]

Solving the inequality:

[tex]0.5x+5 \leq x+2\\3\leq0.5x\\x\geq6[/tex]

Roni needs at least 6 strikes.

After 6 strikes, she would have 8 out of 16, which equals exactly 50%.

I NEED HELP PLEASEEEE!!! I don’t understand how you do this.

Answers

Please see the attached picture for full solution....

Hope it helps...

Good luck on your assignment...

can i have some help please?

Answers

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning ​

Answers

Answer:

Rs. 1050

Step-by-step explanation:

75/100×600= 7.5×60= 450+600= 1050

Hope this helps

What is 2x-4. I really don’t understand

Answers

Answer:

2 * -4 = -8

Step-by-step explanation:

2 * -4 = -8

It is just like multiplying two numbers like... 2 * 4 = 8

You must need to know that:

+a * -b = -c

-a * -b = +c

+a * +b = +c

In your question;

+a * -b = -c

a = 2

b = -4

c = -8

therefore:

2 * -4 = -8

Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D

Answers

Answer:

m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°

Step-by-step explanation:

[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\

\therefore \angle BKA = 90\degree \\

In\:\triangle BKA, \\\\

\cos \angle A = \frac{AK}{AB}\\\\

\cos \angle A = \frac{3}{6}\\\\

\cos \angle A = \frac{1}{2}\\\\

\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\

\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]

Since, adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \angle A + \angle B = 180\degree \\

\therefore 60\degree + \angle B = 180\degree \\

\therefore \angle B = 180\degree - 60\degree\\

\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore \angle C = \angle A

\\

\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\

\therefore \angle D = \angle B

\\

\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]

HELP ASAP PLEASE!!! Solve: 3x – 2y when x = 2 and y = 10. A. 5 B. -14 C. -12 D. NONE OF THESE E. 16

Answers

Answer:

3x - 2y

= 3(2) - 2(10)

= 6 - 20

= -14

the answer is C

Answer:

[tex]x=2[/tex]

[tex]y=10[/tex]

So the multiply 3 × 2

[tex]3 * 2=6[/tex]

Then multiply 2 × 10

[tex]2 * 10=20[/tex]

Then subtract 6 - 20.

This shows that the answer will be negative.

[tex]6-20= -14[/tex]

So the answer is [tex]-14[/tex]

Hope this helps

(^▽^)

Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST

Answers

Answer:

C.  Lincoln Forest is at sea level

Step-by-step explanation:

Elevation above sea level is indicated for several points in the table

Positive number indicates points above, negative number indicates points below, zero elevation indicated points at sea level

So, the answer for Lincoln Forest is:

C.  Lincoln Forest is at sea level

A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.

Answers

Answer:

(B) [tex]76\pi$ sq. in.[/tex]

Step-by-step explanation:

Since the base of the cone and one circular face of the cylinder is not visible,

The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+

[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]

Lateral Area of a Cone [tex]=\pi rl[/tex]

Base radius, r= 8/2 =4 InchesPerpendicular Height of the Cone = 3 Inches

Using Pythagoras theorem:

[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]

Slant Height of the Cone, l (Hypotenuse) = 5 Inches

Therefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]

Therefore, Surface area of the rocket

[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]

Answer:

The answer is 76π sq. in.

Step-by-step explanation:

Took the quiz and that was correct.

10
9
8
7
6
5
B
C
4
3
B
с
D.
D'
3
4
5
6.
7
8
9 10
A
D
-2 1-1
X
1-2
What is the length of BB'?
EP
70112 3141516171819

Answers

Answer:

22 length is the answer

Harun and Anis have m boys and n girls. How many children do they have?​

Answers

They have two children
Answer: Harun and Anis amount of children = m + n.

Explanation: They have an unknown amount of children.

Plzzz help! I will give brainiest and 100 points! 4x2 = 0 (the 2 is an exponent)

Answers

Answer:

x =0

Step-by-step explanation:

4x^2 =0

Divide by 4

x^2 = 0

Take the square root

sqrt(x^2) = sqrt(0)

x = 0

Answer:

x=0

Step-by-step explanation:

4x²=0

x²=0

x=√0

x=0

simplify 23p-7p what is the answer to the question which I desire

Answers

Answer:

16p

Step-by-step explanation:

23p-7p

Factor out p.

p(23-7)

Subtract the terms.

p(16)

Multiply.

= 16p

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14

Answers

Answer:

157

Step-by-step explanation:

Let us first calculate the circumference of the circular of the circular garden

[tex]C= 2\pi r[/tex]

Given

r= 100

[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]

Since the desired space between flowers is 4ft

Then the flowers needed for the garden is  [tex]\frac{628.4}{4} = 157.1[/tex]

Approximately the number of flowers is 157

Answer:157

Step-by-step explanation:

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17

Answers

Answer:

Can you show a picture?

Step-by-step explanation:

Thanks.

Can someone help me do this please

Answers

C. 7.5

3/4 = .75
7.5/10 = .75

Answer:

7.5

Step-by-step explanation:

cross multiply

30=4x

7.5=x

The Math Club is ordering food to be delivered to their meeting. They have a coupon for $10 off their order, and each member contributes an additional $5 for the food. The expression 5n + 10 represents the total amount they can spend on their order. Why would it not make sense to substitute 12.125 for n in this expression? A n represents the number of members, so it must be a whole number. B 5n represents the number of members, so n must be a whole number. C n represents an amount of money, so it cannot have more than two decimal places. D 5n represents an amount of money, so n cannot have more than two decimal places.

Answers

Answer:

A. n represents the number of members, so it must be a whole number.

Step-by-step explanation:

Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.

Answer:

A

Step-by-step explanation:

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