Angle a is 5/3 of Angle b.
Find Angles a and b plz

Angle A Is 5/3 Of Angle B. Find Angles A And B Plz

Answers

Answer 1

Answer:

Angle a = 112.5°

Angle b = 67.5°

Step-by-step explanation:

Angle a + angle b = 180° (Supplementary Angles/angles on a straight line)

Let x = m<b

m<a = ⁵/3(x)

Therefore:

⁵/3x + x = 180

[tex] \frac{5x}{3} + x = 180 [/tex]

[tex] \frac{5x + 3x}{3} = 180 [/tex]

[tex] \frac{8x}{3} = 180 [/tex]

Multiply both sides by 3

[tex] \frac{8x}{3} \times 3 = 180 \times 3 [/tex]

[tex] 8x = 540 [/tex]

Divide both sides by 8

x = 67.5°

Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°

Angle b = x = 67.5°


Related Questions

Write the ratio as a fraction lowest terms 7 days to 13 days

Answers

Answer:

The answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

Step-by-step explanation:

We need to write ratio as a fraction lowest terms 7 days to 13 days

Ratio as fraction is written as: [tex]\frac{a}{b}[/tex] if we have a to b

So, in our case 7 days to 13 days

a= 7, b= 13

Writing ratio as fraction:

[tex]Ratio \ as \ fraction =\frac{7}{13}[/tex]

The fraction cannot be further simplified as already in lowest form so, the answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]

12
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14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes

Answers

Answer:

distributive proper

Step-by-step explanation:

mulitiply

Find the a2, a3, and a4 terms of the sequence defined as:

Answers

Answer:

[tex] a_2 =\frac{1}{2}\\\\

a_3 =2\\\\

a_2 =\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]a_1 = 2......(given)\\\\

a_n =\frac{1}{a_{n-1}}\\\\

Plug\: n = 2\\

a_2 =\frac{1}{a_{2-1}}=\frac{1}{a_1}=\frac{1}{2}\\\\

Plug\: n = 3\\

a_3 =\frac{1}{a_{3-1}}=\frac{1}{a_2}=\frac{1}{\frac{1}{2}}=2\\\\

Plug\: n = 4\\

a_4 =\frac{1}{a_{4-1}}=\frac{1}{a_3}=\frac{1}{2}\\\\[/tex]

Help. Need help ASAP!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

18's factors are 2 * 3 * 3

The two 3s can reduce the result further. sqrt (2 * 3 * 3)

square root 18 = 3*sqrt(2)

There are two sides with this length. Their total is 3sqrt(2) + 3sqrt(2) = 6√2

The perimeter is the sum of all three sides = 6 + 6√2

Which of the following expressions is in simplified form?
-9+ 2.7x + 0.8
03 w+ 1.3w
62 - 4
02t - 5 - t

Answers

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

Can someone please help

Answers

I need points lol ,, i hope you find your answer i guess .

Write an recursive rule for the sequence 7,14,21,28

Answers

+ 7 every time......

Some marbles in a bag are red and the rest are blue. If one red marble is removed,
then one-seventh of the remaining marbles are red. If two blue marbles are removed
instead of one red, then one-fifth of the remaining marbles are red. How many
marbles were in the bag original

Pls give EXPLANATION

Answers

Answer:

22

Step-by-step explanation:

Let r be red and b be blue

1/7(r-1+b)=r-1

1/5(r+b-2)=r

r-1+b=7(r-1)

r+b-2=5r

r-1+b=7r-7

1=7r-7-5r

8=2r

r=4

1/5(4+b-2)=4

2+b=20

b=18

18+4=22

Please help guys!!!!!!

Answers

Answer:I think its 68

Step-by-step explanation:

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

Which of the following transformations always preserve the orientation of a figure?
1- Translations
2- Rotations
3- Reflections
4- None of them

Answers

Answer:

Translation

Step-by-step explanation:

Translation is when something moves or slide. Orientation refers to the way it is facing or turned.

The required given statement is Reflections is transformations always preserve the orientation of a figure.

What are transformations?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

The given statement is which transformations always preserve the orientation of a figure.

According to given question we have

Reflection is a type of transformation in which the given image is flipped across a line of reflection to create the transformed image. In this transformation, dimensions of the figure is always preserved.

In a translation, the preimage and image have the same orientation. In a rotation, the orientation of the preimage is changed. Both are rigid transformations.

Therefore, the required given statement is Reflections is transformations always preserve the orientation of a figure.

Learn more details about transformations here:

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Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved

Answers

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

Hey! Help me with this Question Please!

Answers

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

Two stage floors are in the shape of isosceles trapezoids. The small stage floor in the drama room is
geometrically similar to the large stage floor in the auditorium, as shown below.
24
8
1211
Which proportin can be used to find the length of x, the large stage floor?
o
12
24
24
12+
12 I
8
24
1+12

Answers

Answer:b

Step-by-step explanation: you take the c of

The correct proportion that can be used to find x is 8 / 24 = 12 / x

The corresponding sides of the figures are taken into consideration.

The base of the smaller trapezium 12 ft correspond to the base of the bigger trapezium x ft. Therefore the ratio can be established as

12 / x

The other leg of the smaller trapezium 8 ft correspond to the other leg of the bigger trapezium 24 ft. Therefore, the ratio can be establish as

8 / 24

The ratio must be equal to each other to prove the similarity . Therefore,

12 / x = 8 / 24

The correct proportion that can be used to find x is 12 / x = 8 / 24

read more: https://brainly.com/question/22542504?referrer=searchResults

Find f(-2)for f(x)-3 . 2^x

Answers

B. 3/4 is the correct answer
Answer:

Yes B is correct

Explanation:

After you simplify the expression, the exact form is 3/4

Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek

Answers

Answer:

3-7×14 1294

6.-40

Step-by-step explanation:

mark me as brainliest


PLEASE HELP 6TH GRADE

Answers

First one is 7+x and the second one is 3y or 3 times y

HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!

Answers

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

slope m=-2, point: (4,3)​

Answers

Answer:

Step-by-step explanation:

(y - 3) = -2(x - 4)

y = -2x + 8 + 3

y = -2x + 11

pls give brainliest

Answer:

The the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Step-by-step explanation:

Given

slope = m = -2point (4, 3)

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Here:

m is the slope(x₁, y₁) is the point

substituting the values m = -2 and the point (4, 3) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3 = -2 (x-4)[/tex]

Thus, the the linear equation in point-slope form is

[tex]y-3 = -2 (x-4)[/tex]

Note: This equation could be further simplified to write it in the slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

so writing the equation in the slope-intercept form

[tex]y-3 = -2 (x-4)[/tex]

[tex]y-3 = -2x+8[/tex]

[tex]y=-2x+8+3[/tex]

[tex]y=-2x+11[/tex]

Thus, the equation is the slope-intercept form is

[tex]y=-2x+11[/tex]

Find an equation of the parabola with vertex (2, -1) and directrix y=-7.

Answers

Answer:

the answer to this is y=7x-15

Can someone help pls !

Answers

Answer:

(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

Step-by-step explanation:

12x - 13y = 7

17x - 22y = - 51

A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]

[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]

[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?


Costs are ___ at the rate of $___ per month at this production level.

Answers

Answer:

Costs are changing at the rate of $588 per month at this production level.

Step-by-step explanation:

From the question, we have:

C = 0.3X^2 + 8,000 ........................ (1)

Differentiating equation (1) with respect to time, t, we have:

dC/dt = (0.3 * 2) X (dX/dt)....................... (2)

Where;

X = 70

dX/dt = 14

Substituting this into equation (2), we have:

dC/dt = (0.3 * 2) * 70 * 14

dC/dt = 588

This implies that costs are changing at the rate of $588 per month at this production level.

What is the midpoint of KL

Answers

Answer:

k

Step-by-step explanation:

Answer:

Ummm... You didn't attach a picture lol.

Step-by-step explanation:

Have a great day! Good luck!

HURRY PLEASE?!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 13 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 23 an ounce per second.

Below is a graph of this system.


After how many seconds do both Diego and Lin have the same amount of milkshake left?
[ Select ]

How many ounces do both Diego and Lin have left of their milkshakes at that point?
[ Select ]

Answers

Answer: 24 seconds

4 ounces

Answer:

24 seconds and 4 ounces

Step-by-step explanation:

The point where both lines meet is the point where they are both equal.

The point where both lines meet is (24,4)

Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.

Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.

A line passes through (2, 8) and (4, 12). Which equation best represents the line? (10 points)


y = 1 over 2 x + 6

y = 2x + 7

y = 2x + 4

y = 1 over 2 x + 10

Answers

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

(X-6)^2 multiply and expand

Answers

The answer will be x - 36, first u do the brackets and then you will get x - 6 ^ 2 then all you do it square times 6 by itself. You will then get x - 36

Answer:

x² - 12x + 36

Step-by-step explanation:

Given

(x - 6)² = (x - 6)(x - 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 6) - 6(x - 6) ← distribute both parenthesis

= x² - 6x - 6x + 36 ← collect like terms

= x² - 12x + 36

sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.

Answers

18 boxes that is how many boxes she will neee

she needs 18 boxes.

What is factoring?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.

Given

Based on the given conditions, formulate: 8 x = 144

Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18

To know more about factoring refer to :

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MADEAAA HELPPPPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

7 inches

Step-by-step explanation:

Given the function f(x) = x2-2, find the average rate of change over the interval -2 sxs 4​

Answers

Answer:

The correct answer for that is (98)

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