If ∠3 and ∠4 are complementary angles, m∠3 = (x+24)°, and m∠4 = x°, then find the measures of ∠3 and ∠4.

Answers

Answer 1

Answer:

[tex]\huge\boxed{3 = 57 \textdegree}[/tex]

[tex]\huge\boxed{4 = 33 \textdegree}[/tex]

Step-by-step explanation:

When two angles are complementary, their angle lengths add up to 90°.

Therefore, we can make the equation

[tex](x+24) + (x) = 90[/tex]

Now we can solve for x.

[tex]2x+24=90[/tex] [tex]2x=66[/tex] [tex]x = 33[/tex]

Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.

We also have the expression for ∠3, [tex]x+24[/tex]. Since we know x is 33, we can substitute it into the expression.

[tex]33+24\\\\57[/tex]

Hope this helped!


Related Questions

buses to ayton leave the station every 25 mins, buses to bleeford leave the station every 40 mins, buses at both places leave at 9am. what is the next time buses to ayton and bleeford leave the station together??

Answers

Answer:12:20

Step-by-step explanation:

40*5=200min

25*8

3hr and 20 min

Can someone help me I already have one of the answers correct

Answers

The answers are C and D

Solve absolute value equation 2|x-3|-8=2

Answers

Answer:

[tex]x=8, -2[/tex]

Step-by-step explanation:

[tex]2|x-3|-8=2[/tex]

[tex]2|x-3|=10[/tex]

[tex]|x-3|=5[/tex]                               [tex]|x-3|=-5[/tex]

[tex]x-3=5[/tex]                                [tex]x-3=-5[/tex]

[tex]x=8[/tex]                                      [tex]x=-2[/tex]

Vincent has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam. He wants to

place the jam into the greatest possible number of boxes so that each box has the same number of jars

of each kind of jam. How many boxes does he need? GCF or LCM. How do you know?

Answers

Answer:

The greatest possible number of boxes that he needs is 4 boxes.

Step-by-step explanation:

This question is to be solved using the method of Greatest Common Factor (GCF). This is because the question asked us to find the greatest possible number of boxes so that each box has the same number of jars

Vincent has 12 jars of grape jam, 16 jars of strawberry jam, and 24 jars of raspberry jam.

Using the Greatest Common Factor method, the first step would be to determine the factors of 12, 16 and 24

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Then the greatest common factor is given as: 4.

Therefore, the number of boxes that he needs is 4 boxes

Oni was timing her 100 meter sprints. Her first five sprints were 12.568 seconds, 11.426 seconds, 12.324 seconds, 11.981 seconds, and 12.601 seconds. Which two estimation techniques will give the same result for the total number of seconds for all five sprints?
front-end and clustering
front-end and rounding to the nearest tenth
clustering and rounding to the nearest tenth
rounding to the nearest tenth and rounding to the nearest hundredth

Answers

Answer:

the answer should be D

Step-by-step explanation:

because my teacher told me the answer

Answer:

D

Step-by-step explanation:

rounding to the nearest tenth and rounding to the nearest hundredth

Edg2020

questions in photo pls help me its due tomorrow.

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{4x - 1} =32 [/tex]

[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]

[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]

[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]

[tex] {2}^{4x} = {2}^{6} [/tex]

[tex]4x = 6[/tex]

[tex]x = \frac{6}{4} [/tex]

[tex]x = \frac{3}{2} [/tex]

7.)

[tex] \sqrt{x} - 3 = 7[/tex]

[tex] \sqrt{x} = 7 + 3[/tex]

[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]

X= 100

8.)

[tex]( {x + 1)}^{2} = 81[/tex]

[tex](x + 1) = \sqrt{81} [/tex]

[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]

[tex]x + 1 = 9[/tex]

[tex]x = 9 - 1[/tex]

X=8

Hope it helps...

if 75 pumpkins cost 20,000 dollars how many pumpkins will it take to get 200,000

Answers

Answer:

750 pumpkins

Step-by-step explanation:

if 75 = 20,000

what about 200,000

what is 1/2- 1 and 1/5​

Answers

Answer:

-0.7 is the answer to your question

Answer:

Answer:

-0.7 is the answer to your question

Step-by-step explanation:

The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

I Need help ASAP with slope
^ picture

Answers

Answer:

3/5

Step-by-step explanation:

What would be the first step you would take in simplifying 6 - 3 + 5 x 2 ?

Answers

Answer: multiply 5x2 first

Step-by-step explanation:

Answer:

5 × 2

Step-by-step explanation:

PEMDAS:

P: Parethises

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Since multiplying is before adding and subtracting you multiply first.

Answer:

5 × 2

Need help please itll mean alot an ill give good rating and brain!!!!

Answers

21. is 14b - 21
22. Is -9x +6
23. 6b +4y -12

If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing measure.​

Answers

Answer:

∠1=∠9=43°,  ∠2=∠7= 17°,  ∠4=∠5=∠6=60°, ∠3=∠8=120°

Step-by-step explanation:

Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.

In triangle ABC,

∠1=∠9    (∵isosceles triangle)

⇒ 4x+3=9x-47

⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10

Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°

Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.

∴ ∠4+∠5+∠6=180°

⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°

∴ ∠4=∠5=∠6=60°

By exterior angle property, ∠3=∠5+∠6=60°+60°=120°

                                            ∠8=∠5+∠4=60°+60°=120°

In ΔABD, ∠1+∠2+∠3=180°

            ⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°

In ΔABD, ∠9+∠8+∠7=180°

            ⇒ 43°+120°+∠7=180°⇒ ∠7= 17°

Step-by-step explanation:


BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?


Answers

Answer:

4

Step-by-step explanation:

The perpendicular slope means opposite reciprocal

opposite: 1/4

reciprocal: 4

Answer:

The slope is undefined

Step-by-step explanation:

Rate me please

what quadrant is (25π/6) in

Answers

Answer:

Not Sure

Step-by-step explanation:

The slope is 0.

See graph below...

x=???????? ASAPPppppp

Answers

Answer:

x=2

Step-by-step explanation:

12=12 2=2

the sides have the same x

HELP ASAP!! Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer:

No because one is negative and the other one is positive

Step-by-step explanation:

Answer:

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

Step-by-step explanation:

Solve the following problem. Show you work.
5 + 6(W + 8) = 59
Step 1:
Step 2:
Step 3:
Step 4:
Answer:

Answers

1. Distribute 6: 5+6w+48=59
2. Add like terms: 6w+53=59
3. Subtract 53 on both sides: 6w=6
4. Dived by 6 on both sides: w=6
Answer: w=6
Step 1: subtract 5 from both sides
5+6(W+8)=59
-5 -5
6(W+8)=54

Step 2:divide both sides by 6
6(W+8)=54
W+8=9

Step 3: isolate W by subtracting 8 form both sides
W+8=54
-8 -8
W=1

Answer: W=1

g(-1)=____?

Please give an explanation too!!

Answers

As we see, the slope is 2/1 and y=-1
So
G(-1)=2x-1
= 2(-1)-1
=-3

Translate: The product of six and ten. Explain your answer.
ANYONE HELP PLEASE

Answers

Answer:

60

Step-by-step explanation:

product means multiplication

therefore 6×10=60


What is the answer

Answers

[tex]2.408 \times {10}^{24} \: \div \: 6.02 \times {10}^{23} = \\ [/tex]

[tex] \frac{2.408 \times 10 \times {10}^{23} }{6.02 \times {10}^{23} } = \frac{24.08 \times {10}^{23} }{6.02 \times {10}^{23} } =4 \\ [/tex]

So the answer is 4

_________________________________

And we're done.....♥️♥️♥️♥️♥️

The middle school track team consists of sixth, seventh, and eighth grade students. The 5 sixth grade and 9 seventh grade students make up 43.75% of the entire team. How many eighth grade students are on the team?

Answers

Times them and it’ll give u the answers

Answer:

32 eighth graders

Step-by-step explanation:

PLEASE HELP AHHHH IS URGENT.​

Answers

Answer:

z=96, because we know that any straight line is equivalent to 180 degrees, so we subtract 180-48-36=96.

To find x we first make an equation 6x+96+36=180
6x+132=180
6x=180-132
6x=48
6x/6=48/6
x=8

and also cause why not y=96 as well same principle applies.

i paid $15.00 for 6 gallons of gasoline.
what was the price PER gallon

Answers

Answer:

$2.5 (that is very expensive. Don't buy gas from there again)

Step-by-step explanation:

$15.00 divided by 6 = $2.5

Hope I helped :)

Please consider Brainliest :)

How many solutions are there for the system of equations shown on the graph?

A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions

Answers

Answer:

D

Step-by-step explanation:

There can be infinite solutions

A. I’m pretty sure :)))

one year, a school USES 11.470 pieces of white paper, 3,970 fewer pieces of blue paper than white paper, and 3,200 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all? €

Answers

Answer:

the answer is 7,184.47

Step-by-step explanation:

please.help.me. thannkkkkksssss
THIS IS DUE IN 3 MINUTES
Tammy says the quotient of 775 ÷ 6 is 129 r1.

Use multiplication to check Tammy's answer.

_____× 6 + 1 = ______


Tammy's answer is

correct or not correct

Answers

Answer:

correct

Step-by-step explanation:

On the first play, Calob gained 11 yards. But

during the second play he lost 4 yards. He

gained 3 yards on the third play. Which

expressions represent this situation?

Answers

Answer:

-12 + 5(3) = total yards at the end

So your answer would be 3 yards

Step-by-step explanation:

Which inequality is true?

Answers

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

2.33 > 2.17 True

How do you know if it is inequality or not w/ fraction?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

To solve an inequality using the following steps:

1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

2) Simplify by combining like terms on each side of the inequality.

3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Answer:

B

Step-by-step explanation:

I did the quiz


What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?

Answers

Answer:

x< -8.125

Step-by-step explanation:

7(x+4) < 2(x-5) -3(x+9)

distribute 7, 2, -3 to the parentheses to the right

7x+28<2x-10-3x-27

add like terms

7x+28<x-37

add x to 7x and subtract -28 to -37

8x<-65

divide both sides by 8

x<-8.125 or (-65/8)

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