Can anyone please help me with this? You need to find the equation to solve for x, the value of x, and the value of each angle measure for all 5 questions. I will give brainliest
Answers
Answer:
1. a) 3x + 21 = 6x - 60
b) x = 27
c) angle measure = 102º
2. a) 12x - 18 = 8x + 10
b) x = 7
c) angle measure = 66º
3. a) 7x + 9 + 5x + 3 = 180 (simplified: 12x + 12 = 180)
b) x = 14
c) 107º; 73º
4. a) 3x + 10 + 3x -28 = 180 (simplified: 6x -18 = 180)
b) x = 33
c) 109º; 71º
5. a) 12x + 15 = 15x
b) x = 5
c) 75º
Step-by-step explanation:
1. a) they're the same angle so set them equal to each other: 3x + 21 = 6x - 60
b) solve from the equation above
3x + 21 = 6x - 60 subtract 3x from both sides
21 = 3x - 60 add 60 to both sides
81 = 3x divide both sides by 3
x = 27
c) plug back into each equation (they should be the same, but do both just to check)
3(27) + 21 = 81 +21 = 102º
6(27) - 60 = 162 - 60 = 102º
2. a) again, they're the same angle measure so set them equal to each other: 12x - 18 = 8x + 10
b) solve the equation for x
12x - 18 = 8x + 10 subtract 8x from both sides
4x - 18 = 10 add 18 from both sides
4x = 28 divide both sides by 4
x = 7
c) plug back into each equation (they should be the same, but do both just to check)
12(7) - 18 = 84 - 18 = 66º
8(7) + 10 = 56 + 10 = 66º
3. a) the sum of the two angles is 180º so 7x + 9 + 5x + 3 = 180
if you want the equation simplified: 12x +12 = 180
b) solve for x, i will be using the simplified equation
12x + 12 = 180 subtract 12 from both sides
12x = 168 divide both sides by 12
x = 14
c) plug into each equation to get the two angle measures
7(14) + 9 = 98 + 9 = 107º
5(14) + 3 = 70 + 3 = 73º
4. a) the sum of the two angles is 180º so 3x + 10 + 3x -28 = 180
if you want it simplified: 6x -18 = 180
b) solve for x, i will be using the simplified equation
6x - 18 = 180 add 18 to both sides
6x = 198 divide both sides by 6
x = 33
c) plug into each equation to get the two angle measures
3(33) + 10 = 99 + 10 = 109º
3(33) - 28 = 99 - 28 = 71º
5. a) they're the same angle measure so set them equal to each other: 12x + 15 = 15x
b) solve for x with the equation above
12x + 15 = 15x subtract 12x from both sides
15 = 3x divide both sides by 3
x = 5
c) plug back into each equation (they should be the same, but do both just to check)
12(5) + 15 = 60 + 15 = 75º
15(5) = 75º
Related Questions
What is 3/25 x 10 as a fraction in simplest form
Answers
EXPLANATION
3/25 x 10/1
30/25
Reduce
6/5
The fraction (3/25) multiplied by 10 in simplest form is 6/5.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given a fraction (3/25) which is multiplied by 10.
∴ (3/25)×(10/1).
= (3×10)/(25).
= 30/25.
= 6/5. (we have divided each term by 5)
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
Please Help, i need to get this done right now
Answers
Answer:
16 minutes
Step-by-step explanation:
80% of 20 is 16, so thats your answer.
Answer:
25 Minutes.
Step-by-step explanation:
This can be solved simply by long division. First, change 80% into its decimal form, which is 0.80, and is simplified to 0.8. Then, divide 20 by 0.8.
Ginger spins the spinner below and rolls the number cube. What is the probability that Ginger's spinner will land on 3 and she will roll a 4?
Answers
Explanation: The probability of spinning a 3 is 1/4, or 1 out of how many numbers are on the spinner. The probability of rolling a 4 is 1/6 because there is only one 4 on a 6-sided number cube. (1/4)x(1/6) = 1/24
Answer:
no9
Step-by-step explanation:
What's The Answer? Good Luck!
Answers
Hey! Let's see here.... Who can solve this one? this ones for fun.
Answers
Please can someone help me out with this problem? I need the answer ASAP
Answers
Answer:
First option, if not then its the 3rd
Step-by-step explanation:
How many quarts are in 4 gallons
Answers
Answer:
16
Step-by-step explanation:
26 – x = 14. what is x
Answers
Dkdndiekodrn rjrjrnrirnr
Answer:
x=12
Step-by-step explanation:
start with this equation:
26-x=14
it's best to make the x variable positive at all times.
to do that, you need to make everything else positive.
-26+x=-14
then add 26 to both sides.
x=-14+26
which basically says 26-14...
x=12
Plz, Answer if u want brain.
2.15x5=1075
Zoey used 1,075 feet of wood to make shelves.
Identify and explain an error
correct the work.
Share a strategy.
Plz do all of this if u want brain
Answers
Please help me answer this! Ive tried really hard! Will mark Brainlist!
Answers
Answer:
x=12.65
Step-by-step explanation:
Hope this helps do 15.05-2.4 to get your answer
:)
Does someone mind helping me with a couple of math questions . . ? I'll give Brainliest to whoever answers all of the questions correctly.
Here they are . . . and please show your work:
At the Farmers' Market, 1 kg of grapes costs $2.95. How much would 1.8 kg of grapes cost?
Jan bought 2.8 m of framing to make picture frames. Each picture needs 0.8 m of frame. How many frames can Jan make? How much framing material is left over?
If a 10-foot piece of electrical tape has five pieces that are 1.25 feet cut from it, what is the new?
Use at least 4 of the numbers 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and any operations or brackets to make each whole number from 1 to 5. (5 ways to make each number from 1 to 5.)
A tank has 62.3 litres of water. A tap drains out the tank with 3.7 litres of water in 1 minute and two times this amount of water in the next minute. How much water is in the tank now? How many minutes does it take to drain the water?
Answers
1. $5.31
18.1 * 2.95 = 5.31
2. 3.5 Frames
2.8/0.8=3.5
3. 3.75 feet
5 X 1.25 = 6.25
10 - 6.25 = 3.75
4. 0.1 * 10 = 1
0.2 * 5 = 1
0.5 * 10 = 5
5. 51.2 L
7 Minutes
62.3 - 3.7 = 58.6
58.6 - 7.4 = 51.2
51.2/7.4 = 7 Minutes (Simplified)
Redo !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! the problem is in the imaage
Pretend we have a new student in class. Explain step by step how they need to solve this problem. Make sure to explain the order of operations.
Answers
Step by step explanation:
A bat and a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball cost?
Answers
Answer:
10 cents
Step-by-step explanation:
Answer:
the ball cost 10 cents
Step-by-step explanation:
angle----------- and------------ are supplementary to
FILL IN THE BLANK
Answers
Answer:
mRJN = 75°
Step-by-step explanation:
VJA = 15°
If the line VJ would continue through J and stop at a point that we now call Z. Then the new angle ZJN which is a vertically opposite angle to VJA would also be 15°
Angle VJE is supplementary to VJR and therefore also 90°
And if angle VJE is 90°, that means its supplementary angle EJZ is also 90°.
Angle EJN (supplementary to RJN) is simply EJZ - ZJN = 90° - 15° = 75°
What is the sequence of transformations that maps APQR onto APO'R? Use the drop-down menus to explain your answer
S
3
À
Choose
Action with center (0.), a scale factor Choose
and a reflection across the
Answers
Answer:
Scale Factor is 2, which a reflection across the y-axis
Step-by-step explanation:
Scale Factor is 2, which a reflection across the y-axis
Evaluate the expression shown using the given information. Input either whole numbers or decimals.
23.7 – y ____ y = 10
Answers
Answer:
23.7 - 10 = 13.7
Step-by-step explanation:
Question
23.7 - Y (____) Y = 10
Answer
So the starting number is 23.7 if Y = 10 and we have to subtract the answer would be (13.7)
Hence, all that information all we had to do was subtract 23.7 - 10 = 13.7
Write an equation to represent the amount of water in the bucket, y, in terms of the number of minutes, x, since the faucet was turned on
Answers
Answer:
y= 3x+125
Step-by-step explanation:
y intercept is 125
gradient is 3
y=Mx+c
y=3x+125
Answer:
y = 75x + 125
Step-by-step explanation:
Write in form y = mx + b
75 is the slope (m)
125 is the y-intercept (b)
So the equation would be y = 75x + 125.
BTW, the slope is written in rise/run form. For this graph, it is 75/1.
Hope this helps!
Maybe Brainliest?
Ben drinks tea at an incredible rate. He drinks 7/2 liters of tea every ⅔ of an hour. How many liters of tea did he drink in one hour. Show your work.
Answers
Answer:
[tex]\frac{21}{4}[/tex] or 5.25 litres
Step-by-step explanation:
Hi there,
Since 1 hour is equivalent to [tex]\frac{3}{3}[/tex] and we have the amount for [tex]\frac{2}{3}[/tex] of an hour, we can find the amount Ben drinks for [tex]\frac{1}{3}[/tex] hour and multiply by 3.
To find the amount Ben drinks in [tex]\frac{1}{3}[/tex] hour, we should divide the amount at [tex]\frac{2}{3}[/tex] hour by 2.
[tex]\frac{7}{2}[/tex] ÷ 2 = [tex]\frac{7}{4}[/tex]
Now that we know the amount at [tex]\frac{1}{3}[/tex] hour, we can multiply by 3 to determine the amount of tea he drank in one hour.
[tex]\frac{7}{4}[/tex] × 3 = [tex]\frac{21}{4}[/tex]
Therefore, Ben drank [tex]\frac{21}{4}[/tex] or 5.25 litres of tea in one hour.
Hope this answer helps. Feel free to ask questions.
Cheers.
I need help again... (but i will give brainliest mainly, to the answer with more details and is easier to read)
Answers
Answer:
Answer is A
Step-by-step explanation:
2/5 x 1/5
2x3=6
5x3=15
1/3
1x5=5
3x5=15
6/15x5/15
6x3=30
30 divided by 15 =2
2/15
Answer: A, B and F are all true
Step-by-step explanation: Multiplying the fractions, we get the product, 2/15 so A is correct.
When he divides each third into five parts, each of those parts is 1/15 of the whole, so B is correct.
He shades two of those parts is given, so F is correct.
In one weekend, 2,400 people attend a play at the theater downtown. A survey of 150 people who attended found that 85 gave the play at least 4 stars out of 5.
Write an equation (y=kx) that can be used to predict the number of 4 star ratings the theater will receive.
Use the indicated method to estimate how many people would give the play at least 4 stars?
I need help D:
Answers
Step-by-step explanation: 85 is 56.67 percent of 150
56.67 percent of 2,400 is 1360 so 1360 people gave the play at least 4 stars
Which fraction is less than the fraction represented by the model? A circle divided into 8 equal parts. 5 parts are shaded. Three-fourths Start Fraction 11 Over 16 End Fraction Start Fraction 13 Over 16 End Fraction Start Fraction 2 Over 4 End Fraction
Answers
Answer:
Step-by-step explanation:
The fraction represented by the model is 5/8. To compare it with the given fractions, we need to convert them to have the same denominator of 8.
- Start Fraction 11 Over 16 End Fraction = 11/16 = 0.6875
- Start Fraction 13 Over 16 End Fraction = 13/16 = 0.8125
- Start Fraction 2 Over 4 End Fraction = 2/4 = 1/2 = 0.5
To compare these fractions to 5/8, we can see that 0.5 is less than 0.625 (which is 5/8), so Start Fraction 2 Over 4 End Fraction is less than the fraction represented by the model. Therefore, the answer is Start Fraction 2 Over 4 End Fraction.
Find the value of each expression mentally.
50÷100
Answers
Answer:
Step-by-step explanation: 0.5
30 points please help on these questions!
Answers
Answer:
PLS PLS HELP ME ILL GIVE BRAINLIEST
Answers
Answer:
It's no. C
Step-by-step explanation:
Show all work and use complete sentences to answer the following question.
The graph shows the calories burned for hiking and downhill skiing.
Find the slope of each line. Interpret each slope.
I NEED HELP-
Answers
Answer:
skiing- 8/1
hiking- 6/1
Step-by-step explanation:
if you have any more questions then comment on this post
hiking slope is 6
Pls help it is due today
Answers
PLEASE HURRY!!!
Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?
Answers
Answer:
Amanda has 112 stamps
proof:
Lyle has 168 stamps
Shaq has 84 stamps
Step-by-step explanation:
S = number of stamps Shaquille has
L = number Lyle has
A = number Amanda has
S = 1/2L
A = 2/3L
S + L + A = 364
substituting for S and A
1/2L + L + 2/3L = 364
reduce
2 1/6L = 364
divide both sides by 2 1/6
L = 168
S = 1/2(168) = 84
A = 2/3(168) = 112
What was the initial price of a t-shirt if, after a 25% discount, it cost $12?
Please show how you answered it! I need to learn and get the answer too
Answers
Answer:
16
Step-by-step explanation:
IT MEANS 75% OF THE TOTAL PRICE IS $12 AS ITS 25% DISCOUNT.
THEREFORE, 12/75 X 100 = 48/3= 16
Pabalo is training for a race. His goal is to run 8.5 miles over the next 3 days. This distances he ran each day are shown in the table.
Answers
Answer:
He ran a total of 8.439 miles. Over the three days he ran less than he needed to for his goal, he has to run 0.061 more miles to gain his goal
Step-by-step explanation:
simple! add all of the data numbers and you get a total of 8.439 miles. He has to run 8.5 miles but he does not reach that. he has to run 0.061 miles to gain his goal (8.5-8.439) I hope this helps! (got here as soon as possible)
Type your response in the box. Jamie and Chuck collected data on math scores in their respective classes. The two students created the same box plot. Determine whether one of the students made a mistake while constructing the box plot. Explain your answer. Jamie’s Data 64 90 70 55 82 72 68 60 65 90 80 70 80 65 40 48 52 80 60 60 60 Chuck’s Data 58 64 64 71 82 62 65 86 40 52 78 90 72 58 62 69 85 88 58 69 63
Answers
Answer Jamies datab is greater than chuck,s data
Step-by-step explanation: