1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali5045456 [20]
3 years ago
14

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 m

easure for all 5 questions. I will give brainliest

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

Answer:

1. 3x+21 = 6x-60\\or, 6x-3x = 21+60 [Being~corresponding~angles]\\or, 3x = 81\\or, x = 27.\\Equations: 3x+21=6x-60\\Value ~of ~x = 27\\Angle ~measure = (3x+21), (6x-60) = 3(27)+21,6(27)-60 = 102,102\\

2. 12x - 18 = 8x+10 [Being~vertically~opposite~angles]\\or, 12x - 8x = 18+10\\or, 4x = 28\\or, x = 7\\Equations: 12x-18 = 8x+10\\Value~ of~ x: 7\\Angle ~measure: (12x-18),(8x+10) = 66,66\\

3. Have~a~look~at~the~figure.\\Here, y = 3x+9 [Being~ vertically ~opposite ~angles]\\Also, y+5x+3 = 180^{o} [ Being~cointerior~angles]\\or, 3x^{o}+9^{o}+5x^{o}+3^{o}=180^{o}\\or, 8x^{o}+12^{o}=180^{0}\\or, 8x^{o} = 168^{o}\\or, x = 21^{o}\\So, 3x+9 = 3(21)+0 = 72^{o} ~and ~5x+3 = 5(21)+3 = 108^{o}\\Equations: y = 3x +9, y+5x+3=180^{o}\\Value ~of~ x: 21^{o}\\Angle ~measure:  72^{o},108^{o}

4.~~~~ (3x+10)^{o}+(3x-28)^{o} = 180^{o} [Being~cointerior~angles]\\or, ~~~6x -18^{o} = 180^{o}\\or, 6x=198^{o}\\or, x = 33^{o}\\So, 3x+10 = 3(33)+10 = 109^{o}~and~3x-28 = 3(33)-28 = 71^{o}\\Equations: 3x+10+3x-28 = 180^o\\Value~ of~ x: 33^o\\Angle~measure: 109^o,71^o\\

5. Solution,\\12x+15 = 15x [Being ~alternate~angles]\\or, 15x-12x = 15\\or, 3x=15\\or, x = 5^{o}\\So, 12x+15 = 12(5)+15 = 75^o = 15x\\Equations: 12x+15=15x\\Value~of~x: 5^o\\Angle ~measure: 75^o,75^o

You might be interested in
Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?
salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

<h2>ATQ</h2>

{:}\longrightarrow\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}

{:}\longrightarrow\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}

{:}\longrightarrow\sf 8 (3x)=5×3

{:}\longrightarrow\sf 24x=15

{:}\longrightarrow\sf x={\dfrac{24}{15}}

{:}\longrightarrow\sf x=1.6

\therefore Nichol runs 1.6miles .

4 0
3 years ago
Find what x is 17+7x=x+5
marusya05 [52]

Step-by-step explanation:

17+7x=x+5

6x=-12

x=-2

Hope it helps you

4 0
3 years ago
Read 2 more answers
Help me plsssssssssssssssssssssssssss
Margarita [4]

number 7 is as follows Answer: C18.9

Step-by-step explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. so  (5.65x2)+(3.8x2)=18.9 cm

5 0
3 years ago
Read 2 more answers
If Jane's shirt cost 20$, but she has a 15% off coupon, what is her cost before tax
alina1380 [7]

Answer:

17

Step-by-step explanation:

The discount on the shirt is 15%

Discount = price* discount rate

               = 20 * 15%

               = 20 * .15

                =3

The new price is the previous price minus the discount

new price = 20-3

new price = 17

8 0
3 years ago
Read 2 more answers
Please show your work for brainliest!!
Digiron [165]

Answer:

About 11.299 hours.

Step-by-step explanation:

To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.

(1-0.0595)^x=0.5

0.9405^x=0.5

Taking the log x of both sides, you get

x=\log_{0.9405} 0.5

x\approx 11.299 hours. Hope this helps!

5 0
3 years ago
Other questions:
  • Malcolm had a 20% discount coupon for camping equipment. He bought a camp stove for $39.96. What was the original price of the c
    13·1 answer
  • How many solutions does the following equation have -14(z-5)=-14z+70
    9·1 answer
  • jerry is a judge. He hears 5 cases every 2 3/8 hours. Jerry hears caese at a constant rat. How many cases does he hear per hour
    5·1 answer
  • How many units apart are the points P(-1,-2) and Q(2,2) in the standard (x,y) coordinate plane?
    9·1 answer
  • Jim has 48 sweets he wants to give one-third of them to his friend bob
    8·1 answer
  • Based on the graph, what is the constant rate of change of the cookies made per hour?
    14·1 answer
  • Compute the exact value of the function for the given x-value without using a calculator. (2 points) f(x) = 5x for x = -1
    5·1 answer
  • Select all the fractions that are equivalent to 4/5. Use the area models to help.
    10·1 answer
  • If x = 5, find the value of (x+3)²​
    9·2 answers
  • How do you solve number 5?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!