Question 2
The measures of two supplementary angles are in the ratio of 2: 3. Find the measurements of the two angles.
Question 3
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.



Answers

Answer 1

Answer:

1 ) m∠ 1 = 72°, m∠2 = 108°,

2 ) m∠ 1 = 22.5°, m∠2 = 67.5°

Step-by-step explanation:

Question 2 ) Assuming these are supplementary angles, we know that their measures form a linear pair that add to 180°;

let us assign these angles as 1, and 2 ⇒ m∠ 1 + m∠ 2 = 180,

with the given ratios 2 to 3, we can say x ⇒ one part of measure, so that ⇒ 2x + 3x = 180,

2x + 3x = 180 ⇒ combine like terms,

5x = 180 ⇒ divide either side by 5,

x = 36°

If this is so, m∠ 1 = 2x = 2 * ( 36 ) = 72°, and m∠ 2 = 3x = 3 * ( 36 ) = 108°;

Solution; m∠ 1 = 72°, m∠2 = 108°

Question 3 ) If it is known that two angles are complementary to one another, we can say their measures add to 90°;

let us one more, assign these angles as 1 and 2 ⇒ m∠ 1 + m∠ 2 = 180,

knowing that the measure of one angle is 3 times that of the other angle we can derive the ratio 1 : 3 in the manner smaller ∠ measure : bigger ∠ measure so that ⇒ x + 3x = 90,

x + 3x = 90 ⇒ combine like terms,

4x = 90 ⇒ divide either side by 4,

x = 22.5

If this is so, m∠ 1 = x = 1 * ( 22.5 ) = 22.5°, and m∠ 2 = 3x = 3 * ( 22.5 ) = 67.5°;

Solution; m∠ 1 = 22.5°, m∠2 = 67.5°


Related Questions

Question 27 Multiple Choice Worth 1 points)
(04.05)
The number of members to) in a baseball club increased by 45% every year over a period of x years. The function below shows the relationship between tog and
fox) = 25(1 457
Which of the following graphs best represents the function?

Answers

Answer:

Graph of f of x equals 25 multiplied by 1.45 to the power of x

Step-by-step explanation:

Please Mark Brainliest :)

The graphs below have the same shape. What is the equation of the blue
graph?
G(x) =
A. G(x) = x^3+ 3
B. G(x) = x^3 -3
C. G(x) = (x-3)^3
D. G(x) = (x + 3)^3

Answers

Answer:

C

Step-by-step explanation:

1. Evaluate 3y - 4 for y =5
2. 65 + x = 99 x = ?
3. Find the product. 38.7 *21
4. Which value satisfies the equation? 9x + 3 = 30 *
-2
-3
-4

Answers

Answer:

1. Evaluate 3y - 4 for y =5

3*(5)-4=15-4=11

2. 65 + x = 99 x = ?

65+x=99

x=99-65

x=34

3. Find the product. 38.7 *21

38.7*21=812.7

4. Which value satisfies the equation? 9x + 3 = 30

The right value for x would be:

9x+3=30

9x=30-3

9x=27

x=27/9=3

Step-by-step explanation:

One half the sum of nine and three
Your answer

Answers

Answer:

the answer is 6

Step-by-step explanation:

9+3=12

12÷2=6

Answer: 6

9 + 3 = 12

12 divided by 2 = 6

You roll a number cube one time. What is the probability that you roll a 3 or 6? Enter your answer as a fraction in simplest form.


The probability that you roll 3 or 6 is____

Answers

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

p(s) = 6p(a) = 2[tex] \frac{2}{6} [/tex]

Question 4
Which fraction has the same value as 2 3/8
23/8
16/8
19/8
5/8

Answers

Answer:

19/8

Step-by-step explanation:

2*8+3=19

Put 19 over 8

Answer:

19/8

Step-by-step explanation:

19/8 has the same value as 2 3/8

2 3/8 as a mixed number is 19/8

To get this we multiply 2 by 8 and add 3. In other words we multiply 2 by the denominator and add the numerator:

2*8+3= 19

WILL MARK BRAINLIEST '
IF YOU DONT KNOW DONT ANSWER

Answers

Answer: A) Alternate Exterior

Step-by-step explanation:

Let's find out the defenition of alternate exterior; "If a pair of parallel lines are cut by a transversal line, then the alternate exterior angles are congruent".

I hope this helps!

If you draw all of the diagonals from one vertex of a regular octagon, how
many triangles do you make?
A. 8
B. 4
C. 5
D. 6

Answers

Answer:6

Step-by-step explanation:

I really need help someone please help

Answers

Answer:

5

Step-by-step explanation:

5 12 13 triple

Answer:

r =5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are r and 12

The hypotenuse is (8+r)

r^2 + 12^2 = (8+r)^2

r^2 + 144 = 64 + r^2 +16r

Subtract r^2 from each side

144 = 64 +16r

Subtract 64 from each side

144-64 = 16r

80 = 16r

Divide each side by 16

80/16 = 16r/16

5 =r

Use the function y = 5x + 1. Find each output. x = 3

Answers

Answer:

Step-by-step explanation:

What is the product of 5.2×[tex]10^{4}[/tex] and 1.3×[tex]10^{-2}[/tex]?
A. 6.76×[tex]10^{8}[/tex]
B. 6.76×[tex]10^{2}[/tex]
C. 6.76×[tex]10^{-2}[/tex]
D. 6.76×[tex]10^{-8}[/tex]

Answers

Answer:

6.76 × 10²

Step-by-step explanation:

5.2 × [tex]10^{4}[/tex] × 1.3 × [/tex]10^{-2}[/tex]

= 5.2 × 1.3 × [tex]10^{2}[/tex]

= 6.76 × 10²

Answer:

B. 6.76 x 10²

Step-by-step explanation:

5.2 × [tex]10x^{4}[/tex] (1.3 × [tex]10x^{-2}[/tex])    Subtract the exponents to get a common exponent

5.2 x 1.3 x 10²                  Multiply

6.76 x 10²

Write these numbers in words (a) 5610 (b) 29052 (c) 312000 (d) 1800000 (e) 5138000 () 6243821​

Answers

Answer:

whats the question agaiin sorry

Step-by-step explanation:

Answer:

5610 - Five thousand six hundred ten

29052 - Twenty nine thousand and fifty two

312000 - Three hundred twelve thousand

1800000 - one million eight hundred thousand

5138000 - Five million one hundred thirty eight thousand

6243821 - Six million two hundred forty three thousand eight hundred twenty one

Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?

Choose all answers that apply:

Choose all answers that apply
A
(5g+3h)\cdot8(5g+3h)⋅8left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 8

(Choice B)
B
(5g+3h)\cdot6(5g+3h)⋅6left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 6

(Choice C)
C
None of the above

Answers

Answer:

C None of the above

Step-by-step explanation:

The expression

(5g+3h+4)⋅2

can be expanded using distributive property as follows:

5g⋅2 + 3h⋅2 + 4⋅2  =

= 10g + 6h + 8

option A expression

(5g+3h)⋅8

can be expanded using distributive property as follows:

5g⋅8+3h⋅8 =

= 40g + 24h

which is different from 10g + 6h + 8

Option B expression

(5g+3h)⋅6

can be expanded using distributive property as follows:

5g⋅6+3h⋅6 =

= 30g + 18h

which is different from 10g + 6h + 8

Answer:

C. None of the above

Inge and Oleg were helping their mom clear rocks from a pasture using a wheelbarrow. If each load of rocks they carried to the fence row
weighed an average of 100 pounds, how many loads did it take to move a ton of rock? (recall: I ton = 2000 lbs.)

Answers

Answer:

20 loads

Step-by-step explanation:

2000 divided by 100 is 20

Answer: 20

Step-by-step explanation:

1 ton = 2000 lb, 1 load = 100 lb 2000/100 = 20

The range of which function includes -4?
O y= √x-5
O y= √x+5
O y= √x+5
O y=√x-5

Answers

Answer: A is the correct answer .

Start with the last two choices .

You have x+ 5 and × - 5 in the square root .

A square root can never be negative .

That means that the lowest value of y can have in the last two choices is 0 .

Now range doesn't include -4.

Now look at choice B .

sqrt (x) is at least 0.

Then you add 5 .

The range doesn't include -4.

Now look at choice A .

sqrt (x) is at lest 0 .

Now ,you subract 5 .

The lowest value y can have is -5 . That includes -4.

Choice A is the answer .

y will be at least 5

Hope it works out !

Answer: Option 1 or A on your test

Step-by-step explanation: y= root of x-5

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction –2 + StartRoot 2 EndRoot 2 – StartRoot 2 EndRoot 1 + StartRoot 2 EndRoot –1 + StartRoot 2 EndRoot

Answers

Answer:

x = 1 + sqrt 2

Step-by-step explanation

Answer:

c

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]4x = 1x + 15 \\ 4x - 1x = 15 \\ 3x = 15 \\ \frac{3x}{3} = \frac{15}{3} \\ x = 5[/tex]

Answer:

x=5

Step-by-step explanation:

[tex]4x = 1x + 15 |collect \: like \:terms | \\ 4x - 1x = 15 |simplify| \\ 3x = 15 |divide \:both \: side \: by \: 3 | \\ \frac{3x}{3} = \frac{15}{3} |simplify| \\ x = 5[/tex]

Which algebraic expression represents the phrase “four times a number”?
4 + c
c - 4
4 divided by c
4c

Answers

Answer:

4c (last option)

Step-by-step explanation:

4c is equivalent to 4 times c, or 4 * c, c representing a number :) hope this helps!

Answer:

4c

Step-by-step explanation:

if you have four times a number, that means that there are 4 of one number

say the number is "c"

c c c c

there are 4 c's that means 4*c = 4c

the coefficient "4" before the letter c just means how many c's there are

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Answers

Hey there!

To find our answer, we need to set up a system of equations. Remember, supplementary angles equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with substitution.

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!

The graph represents the total costs for renting a bounce house or a dunk tank for a party. What is the meaning of (2, 20)? The rental cost for a dunk tanks starts at $20. The rental cost for a bounce house starts at $40. The costs for a dunk tank and bounce house are the same for 20 hours. The costs for a dunk tank and bounce house are the same for 2 hours.

Answers

Answer:

The costs for a dunk tank and bounce house are the same for 2 hours.

Step-by-step explanation:

The costs for a dunk tank and a bounce house are the same for 2 hours.

The meaning of the point (2, 20) on the graph is that the costs for a dunk tank and a bounce house are the same for 2 hours.

At this point, both the dunk tank and bounce house rentals cost $20.

It indicates the point of intersection between the two lines on the graph, where the costs for both options are equal.

Learn more about Graph here:

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Select the linear equation represented in the graph

a) y= 2x+3
b) y= 1/2x+3
c) y= 1/2x-3
d) y=-2x-3​

Answers

Answer:

B

Step-by-step explanation:

Since the line in the picture rises 1 unit for every 2 units it moves to the right, it has a slope of 1/2. Also, since it intersects the y axis at (0,3), the y intercept is 3. Therefore, the equation of the line is y=1/2x+3, or answer choice B. Hope this helps!

Possible side lengths for a rectangular frame are 6 inches, 10 inches, and 12 inches
If all measurements are whole numbers, which dimensions can be used to frame a
picture that has an area between 45 and 50 square inches?
A. 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.
B. 6 in. by 7 in., 10 in. by 5 in., 12 in. by 4 in.
C. 6 in. by 8 in., 10 in. by 4 in., 12 in. by 4 in.
D. 6 in. by 7 in., 6 in. by 8 in., 10 in. by 5 in., 12 in. by 4 in.​

Answers

Answer:

A

Step-by-step explanation:

You have to times all of them to see the results. For example...

A. 48inches(6x8), 50inches(5x10), 48inches(12x4)

B. 42,50,48(42 is not within 45-50 inches so it can't be B)

C.48,40,48(40 is not within 45-50 inches so it can't be C)

D.42,48,50,48(42 is not within 45-50 inches so it can't be D)

meaning it's A

Starting at origin. do 4 space up and 3 spaces left

Answers

Answer:

The coordinates would be (3,4)

Step-by-step explanation:

The coordinates would be (3,4) because you start from (0,0), then go up and go to the left

Find the distance between the two points.
us
(-4,- 9) and (1,3)
The distance is ?
Plzz hell me

Answers

Answer:

The distance between the two points would be 13 :)

Variance and standard deviation

Answers

Answer: 8.3

Step-by-step explanation:

To find the variance, you want to find the mean of the data.

[tex]\frac{3+3+8+1+9+6}{6} =5[/tex]

Now that we have the mean, we find the difference between each data point and the mean.

3-5=-2

3-5=-2

8-5=3

1-5=-4

9-5=4

6-5=1

With the difference, you square each and find the average.

(-2)²=4

(-2)²=4

3²=9

(-4)²=16

4²=16

1²=1

[tex]\frac{4+4+9+16+16+1}{6} =\frac{25}{3}[/tex]

The variance is 8.3.

What is the solution to the inequality IX-4| <3?

Answers

Answer:

x > 1  and x< 7 , or it can be written as

(1 , 7)

Step-by-step explanation:

IX-4| < 3

x - 4 < 3            and  - (x - 4) < 3

x< 7                         - x + 4 < 3

                                      - x < - 1

                                        x > 1

x > 1  and x< 7

(1 , 7)

The diagram shows 3 vertices of a parallelogram.
Plot the 3 possible points for the 4th vertex.

Answers

Answer:

(-1, -1), (-3,5), (5, -3)

Step-by-step explanation:

(-1, -1) is the 4th vertex.

Which is the required vertex ?

Let, 4th vertex is (x, y)

Given vertices of parallelogram are (-2. 2), (1, 1), (2, -2)

Here, (-2. 2) & (2, -2) are opposite vertices.

So, Midpoint of diagonals = [tex][(\frac{-2+2}{2}) ,(\frac{2-2}{2})][/tex] = (0, 0)

This is also midpoint of diagonal with vertices (1, 1) & (x, y)

So, (1+x)/2=0 ⇒ x = -1

& (1+y)/2=0 ⇒ y = -1

∴ 4th vertex is (-1, -1)

Learn more about parallelogram here :

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After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus $0.35 per mile. Which type of function could model the cost of the taxi ride?

Answers

Answer:

The answer would be A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

will give brainliest to best helper!

Answers

Answer:

26 in

Step-by-step explanation:

Perimeter is calculated by adding all of the outside side lengths.

11 + 7 + 4 + 4 = 26

What are some real world examples where percentages are used? How could you use percentages in your daily life?

Answers

Answer:

Applying them to sales and discounts.

Step-by-step explanation:

You can use them when applying discounts in a price.
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