Find the measure of two supplementary angles, ∠A and ∠B, if m∠A = (3x – 7)° and m∠B = (2x + 2)°. =180

Answers

Answer 1

Answers:

Angle A = 104 degrees

Angle B = 76 degrees

=================================

Supplementary angles add to 180 degrees.

A+B = 180

(3x-7)+(2x+2) = 180

5x-5 = 180

5x-5+5 = 180+5 ... add 5 to both sides

5x = 185

5x/5 = 185/5 .... divide both sides by 5

x = 37

Use x =37 to find

Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees

Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees

As a check: A+B = 104+76 = 180 so that helps confirm the answer

Answer 2
Final answer:

The measure of supplementary angle ∠A is 107 degrees and the measure of supplementary angle ∠B is 76 degrees. We get these values by setting up an equation based on the fact that the sum of the measures of two supplementary angles is 180 degrees, solving for x, and then substituting x back into the original equations.

Explanation:

In this problem, we're asked to find the values of the supplementary angles ∠A and ∠B. The measure of a supplementary angle is based on the concept that the sum of the measures of two supplementary angles is 180 degrees. We can form an equation since we know m∠A + m∠B = 180°. This translates to (3x – 7)° + (2x + 2)° = 180°. To solve the equation, consolidate like terms, so 5x - 5 = 180. Add 5 to both sides of the equation to find that 5x = 185. Dividing both sides of the equation by 5, we find that x = 37. Substitute x = 37 back into the original equations for m∠A and m∠B to find m∠A = 3*37 - 7 = 107 degrees, and m∠B = 2*37 + 2 = 76 degrees.

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Related Questions

If a+b=-2 And x+y= -2 what is 4x+5a+4y+5b?

Answers

a + b = -2

x + y = -2

4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)

substitute

4(-2) + 5(-2) = -8 - 10 = -18

1.Which fraction is the ratio expressed in simplest form?
24:18
A. 12/9
B.8/6
C.4/3
D.6/1

2.the ratio of two numbers is 1 to 4 and the sum of the numbers is 45 what is the smallest number?
A.10
B.9
C.8
D.7

3.what is 490% written as a decimal?
A. 4.9
B.49
C. 4900
D. 0.0049

4. What is 0.5% written as a decimal?

A.0.5
B.00.5
C.0.25
D. 0.005

Answers

1.  divide each number by 6 and you get 4:3  answer c

2. 1x+4x=45  (the ratios give you how many of each you have)

5x=45  so x=9  that is the smallest number

3.  percent means out of 100  so 490/100  4.9

4  percent means out of 100  so .5/100  5/1000  = .005

Math is my worst subject lol can I get some help

Answers

A, C and D. The P value of Catie's account is 125, 0.045=4.5/100=4.5% interest, and 6 is two less than 8 which are the exponents n represting years.

3t - 18 = 4(-3 - 3/4t)

Answers

3t - 18 = 4(-3 - 3/4t)

Use distributed to remove parenthesis right side

3t-18= -12-3t

Add 3t by 3t

3t+3t-18=-12


6t-18=-12

Add 18 to both sides

6t=-12+18


6t= 6

Divide 6 both sides

6t/6=6/6

Solved

T=1

Answer:

its t=1

Step-by-step explanation:

Which amount is the greatest

Answers

10 quarts is the greatest about becuase it is equal to 40 cups.

Answer:

10qt

Step-by-step explanation:

16pt = 32C

So, it's not 16pt

36 C = 9qt

So, it's not 36 C

That only leaves 10qt


Hope this helps :-)

If you have two positive numbers and you multiply(-12*-6) why are you getting a positive answer?

Answers

You are getting a positive answer because when you are multiplying or dividing with to negative numbers you get positive, if you have one negative and one positive then you will get a negative because of the different signs
Because they are both negative :
+ * + = +
+ * - = -
- * + = -
- * - = +
when the signs are different, the answer is negative.
when they're the same, the answer is positive.

Explain how you know 15 is an odd number

Answers

15 is an odd number because you cant divided in half also 15 is the illumanti

It an odd number based on how it can not be divided into two groups

−8x+3≥27 AND−13x+5≥57

Answers

Answer:

[tex]x \leq -4[/tex]

Step-by-step explanation:

[tex]-8x+3\geq 27 and -13x+5\geq 57[/tex]

LEts solve each inequality separately. then we find the intersection of both solutions.

[tex]-8x+3\geq 27[/tex]

Subtract 3 on both sides

[tex]-8x\geq 24[/tex]

Divide both sides by [tex]-8[/tex], change the inequality symbol when we divide by negative number

[tex]x \leq -3[/tex]

Now solve the other inequality

[tex]-13x+5\geq 57[/tex]

Subtract 5 on both sides

[tex]-13x\geq 52[/tex]

Now divide both sides by [tex]-13[/tex]

[tex]x \leq -4[/tex]

Now we take the intersection of [tex]x \leq -3[/tex] and [tex]x \leq -4[/tex]

for [tex]x \leq -3[/tex], we shade the number line to the left

[tex]x \leq -4[/tex], shade the number line to the left

Intersection of both graph is [tex]x \leq -4[/tex]

Answer:

A

Step-by-step explanation:

8+4a+6.2-9a simplify expression

Answers

8 + 6.2 + 4a - 9a

(8 + 6.2) + (4 - 9)a

14.2 - 5a is your answer.

Answer:

Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.

First, let's combine [tex]8[/tex] and [tex]6.2[/tex]

[tex]8+6.2=14.2[/tex]

[tex]4a-9a+14.2[/tex]

Now, combine the other two monomials.

[tex]4a-9a=-5a[/tex]

[tex]-5a+14.2[/tex] would be your answer.

Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.

Jesse has a container that contains 18 3/4 cups of ice cream. How many 1/3 cup servings are in the container?

Answers

i believe that there are 55 1/3 cup servings with an extra 5/12.

Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.

Jesse has a container that contains 18 3/4 cups of ice cream. To determine how many 1/3 cup servings are in the container, we need to divide the total amount of ice cream by the size of each serving:

First, convert 18 3/4 cups to an improper fraction: (18 × 4) + 3 = 75/4 cups.Next, divide 75/4 by 1/3, which is the same as multiplying 75/4 by 3/1 (since dividing by a fraction is the same as multiplying by its reciprocal).75/4 × 3/1 = (75 × 3) / (4  × 1) = 225/4.Simplify the fraction: 225/4 = 56.25. Therefore, there are 56 whole servings, with a little left over.

Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.

4 x 4 x 4 cardboard box is going to be filled with colored one by one by one blocks one red block is placed into the corner of the box next the least number of orange blocks are used to completely hide the red block from view then the least number of yellow blocks are used to hide the orange blocks from view at this point how many blocks have been placed into the box

Answers

16x 4 = 64 so thats the volume


16 times 4 equals 64 that’s we’re you get the volume from I agree with kids912281012

Mckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound

Answers

first you divide 1.2 by its self because you need to get 1 pound. 1.2 / 1.2 = 1

now that you have one pound, you divide 11.82 by 1.2 = 9.85

Charles has rolled a 6-sided die three times and it landed on 3 each time. What is the probability of getting a 3 on the 4th roll?

Answer choices: A) 1, B) [tex]\frac{1}{36}[/tex], C) [tex]\frac{1}{216}[/tex], D) [tex]\frac{1}{6}[/tex]

Answers

The answer would be D - 1/6


This is because there are six sides to the die and just because he rolled all 3s before it does not mean he has a better chance to roll a 3 now.

Since there is only 1 3 on the six sided die there is a 1/6 chance he would roll a 3.

Final answer:

The probability of rolling a 3 on a 6-sided die remains 1/6 regardless of previous outcomes because each roll is an independent event. Therefore, the probability of getting a 3 on the 4th roll, after it has landed on 3 for three times, is 1/6.

Explanation:

The subject of this question is Mathematics, specifically probability. The question asks what the probability is that a 6-sided die, after landing on 3 for three times, will land on 3 again on the 4th roll. It is important to understand that the roll of a die is an independent event, meaning that previous rolls do not impact the outcome of subsequent rolls. Therefore, no matter what the die landed on in previous turns, the probability of getting a 3 on the next roll remains the same.

Since a die has 6 faces, each face (1, 2, 3, 4, 5, 6) has an equal chance of landing up, making the probability of getting a certain number on a die 1 out of 6 or [tex]\frac{1}{6}[/tex]. So, option D is the correct answer.

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Which polygon is a convex heptagon

Answers

Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon. Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.

Answer:

It's 'A' on Edge 2021. Hope this helps everyone.

what’s 9•1085•(17•x)

Answers

Hi!

So I believe your question is 9(1085)(17*x)

So we can start to simplify 17 and x into 17x

Next we take 17x*1085= 18,445x

And finally we multiply 18,445x*9

18,445x*9=166,005x

(5a^2bc^3) × (1/5abc^4)

Answers

Your answer would be  a3b2c7

your answer will be a3b2c7

Which mixed number is equivalent to the improper fraction 379 ?

Answers

4 1/9 i dont quiet remember but im pretty sure this is correct

I took this quiz and the answer is 4 1/9 i know its late but I hope it helps still... I guess...

Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?

Answers

alright so, since it says that he eats at least $10 dollars no matter what we can basically leave that alone. next week have $3.50 for every new customer (x) so we could write this as $3.50x. and lastly we have Y the amount he will earn every week.

so the equation would be $10+$3.50x=Y.

if we had more information we might be able to solve for Y but since it doesn't tell us how many he sold we would leave it like that.

Zachary's soccer camp started at 11:35 A.M. They spent 55 minutes practicing defense and 2 hours and 25 minutes shooting. What time did the camp end?

Answers

camp ended at 2:55pm


2:55 PM

Because 11:35 AM+55= 12:30 PM. Then 12:30 PM+2:25= 2:55 PM as a final answer

Please help and show work!!! Find the line perpendicular to y=-1/4x+7 and goes through the point (1,1).

Answers

the answer to the question

How to say 6.324 in word form

Answers

Six and three hundred twenty-four thousandths.

The decimal 6.324 in words can be written as "six and three hundred twenty-four thousandths."

To express the number 6.324 in word form, break it down by its place values.

6 is in the "ones" place, so we say "six."

3 is in the "tenths" place, so we say "three tenths."

2 is in the "hundredths" place, so we say "two hundredths."

4 is in the "thousandths" place, so we say "four thousandths."

Putting it all together, we can say 6.324 as "six and three hundred twenty-four thousandths."

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chris rented a truck for one day. there was a base fee of $16.95, and there was an additional charge of 87 cents for reach mile driven . chris had to pay $229.23 when he returned the truck . for how many miles did he drive the truck

Answers

the miles that je drived was 244 miles is that helpful
if he rented the truck for only 1 day, you would have to take away the $16.95 away from the $229.23 which would equal $212.28 then further you would divide $212.28 by 87 cents
but first you'd have to turn 87 into dollars which would be $0.87


$212.28÷$0.87=224

hopefully this is correct and helps ♡♡~chyna

Please help and explain on problem four.

Answers

For a this would be to draw a line going up like the dots lead up.

For b u would see the average amount of number of score it went up by and based on that u would put something like x=2y to represent the x and y axis.

For c , u would fill in the blank by finding the  number (570) and the going to the dot placed with it and find it on the other axis


What is the range of the function? A. {1, 2, 3, 4} B. {1, 2, 3, 4, 9, 12} C. {2, 4, 9, 16} D. {1, 2}

Answers

C. {2, 4, 9, 16}

ranges (y) would be on the left of the graph. domains (x) would be on the left of the graph.

hope this helps! ❤ from peachimin

Answer: C 2,4,9,16

Step-by-step explanation:

Which equation has the solution x = 1.5?
A) x/2 + 3.5 = 6.5
B ) x/2 − 3.5 = 6.5
C) 2−3.5=6.5
D )2 + 3.5 = 6.5

Answers

Answer:

The correct answer is D.

2x + 3.5 = 6.5

x = 1.5

The geometric mean of two numbers a and b is ab. Find the geometric mean of 32 and 50

Answers

Answer:

1600

Step-by-step explanation:

a*b=

32*50=

1600

Answer:

Geometric mean: 40

Three friends each bought two slices of pizza and a drink at the mall. if drinks cost $0.75 and the total of their order was $11.25,how much did one pizza cost?

Answers

3(2P) + 3D = 11.25
6P+3D=11.25
6P+ 2.25=11.25
6P=9
P= $1.50
I believe it's $1.50

Find the slope of the line that goes through the given points.  
​(3​,1​) and ​(8​,9​)

Answers

u pretty much subtract the two X's and subtract the Y's and im sure that give u your slope

It was difficult to explain using words so I attached a picture of the work. I hope this helps!

Solve for s.
0.5s+1=7+4.5s0.5s+1=7+4.5s

Answers

The answer.....s equals -1.5

Answer:

[tex]s=-1.5[/tex]

Step-by-step explanation:

Given the equation :

[tex]0.5s+1=7+4.5s[/tex]

the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.

[tex]1-7=4.5s-0.5s[/tex]

Solving for [tex]s[/tex] we have the following:

[tex]-6=4s[/tex]

[tex]\frac{-6}{4} =s[/tex]

[tex]-1.5 =s[/tex]

the answer is: [tex]s=-1.5[/tex]

Factories often add filler when making meatballs sold by the bag. One factory obtained 135kg of beef from overseas. They want to add 1.3oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?

Use 1lb = 0.45kg and do not round any computations

Answers

135kg÷.45kg= 300lbs
1.3oz per 1 pound
1.3×300=390 oz

Answer:

The company needs 390 oz of filler.

Step-by-step explanation:

One factory obtained 135 kg of beef from overseas.

They want to add 1.3oz of filler for each pound of beef.

Given is:

0.45 kg = 1 pound

So, 135 kg = [tex]\frac{135}{0.45}[/tex] = 300 pounds

The company want to add 1.3 oz of filler for each pound of beef.

So, for 300 pounds they will need = [tex]300\times1.3=390[/tex] oz of filler.

Therefore, the company needs 390 oz of filler.

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