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
Ludmilka [50]
3 years ago
6

Solve both questions please ❤️❤️

Mathematics
1 answer:
harina [27]3 years ago
8 0

Answer:

1. y=7.2

2. x=18

Step-by-step explanation:

1. Triangles CMN and CBA are similar triangles (by AAA postulate). Similar triangles have proportional corresponding sides, so

\dfrac{CM}{CB}=\dfrac{CN}{CA}\\ \\\dfrac{12}{12+y}=\dfrac{10}{10+6}\\ \\12\cdot 16=10\cdot (12+y)\\ \\192=120+10y\\ \\10y=72\\ \\y=7.2

2. GK is angle G bisector. Use angle bisector's property:

\dfrac{GH}{GI}=\dfrac{KH}{KI}\\ \\\dfrac{40}{24}=\dfrac{30}{x}\\ \\40x=24\cdot 30\\ \\4x=24\cdot 3\\ \\x=6\cdot 3=18

You might be interested in
What is the slope of this line?
olga2289 [7]

Answer:

3

Step-by-step explanation:

In the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em>Change</em><em> </em>[<em>Slope</em>]. Anyway, starting from the <em>y-intercept</em><em> </em>of [0, 2], move 3 units <em>north</em><em> </em>over 1 unit <em>east</em><em>.</em><em> </em>That is called <em>rise</em><em>\</em><em>run</em><em> </em><em>→</em><em> </em>3\1 = 3.

I am joyous to assist you anytime.

7 0
3 years ago
Read 2 more answers
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during t
olya-2409 [2.1K]

Answer:

H0:p=0.19

Ha:p>0.19

Step-by-step explanation:

7 0
3 years ago
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function
Assoli18 [71]

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

7 0
2 years ago
The area of the floor is 6,175 square feet. The length of the floor is 95 feet. The width is w feet.
Anestetic [448]

Answer:

the width is 65

Step-by-step explanation:

width x length = area

w x 95 = 6,175

6,175 / 95 = 65

65 x 95 = 6175

3 0
3 years ago
Read 2 more answers
Consider the expression 20-(4^2/2). How many terms does the expression have?
natali 33 [55]

Answer:

huh

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • List 3 ways you can use an answer key effectively
    13·1 answer
  • The _____ is a measure of variability that is simply the difference between the highest score and the lowest score. variance sta
    6·2 answers
  • A coat, originally priced at $120, was offered at
    8·2 answers
  • Is x=-2 a solution of the equation 1-6x=7?
    9·2 answers
  • Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sal
    5·1 answer
  • Line A: y=1/2x + 2
    8·1 answer
  • Find the solution to -36 = -6b.<br><br> b = <br> PLEASE FAST
    7·2 answers
  • Evaluate: x + (x2 - xy) - y<br> if x = 5 and y = 4
    5·2 answers
  • If I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?
    11·2 answers
  • 50 points!! help asap pls
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!