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
vovangra [49]
3 years ago
10

1) 130 2) 25 3) 50 4) 60

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

2x+5x+5=180 so x has to be 25

You might be interested in
The length of a rectangle is 4 times its width. The perimeter of the rectangle is 50 cm long. What is the area of the rectangle?
Eduardwww [97]
The answer would be 100
3 0
2 years ago
Fine length of BC on the following photo.
MrMuchimi

Answer:

BC=4\sqrt{5}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

AC^2=AD^2+DC^2

substitute the given values

AC^2=16^2+8^2

AC^2=320

AC=\sqrt{320}\ units

simplify

AC=8\sqrt{5}\ units

step 2

In the right triangle ACD

Find the cosine of angle CAD

cos(\angle CAD)=\frac{AD}{AC}

substitute the given values

cos(\angle CAD)=\frac{16}{8\sqrt{5}}

cos(\angle CAD)=\frac{2}{\sqrt{5}} ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

cos(\angle BAC)=\frac{AC}{AB}

substitute the given values

cos(\angle BAC)=\frac{8\sqrt{5}}{16+x} ----> equation B

step 4

Find the value of x

In this problem

\angle CAD=\angle BAC ----> is the same angle

so

equate equation A and equation B

\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}

solve for x

Multiply in cross

(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units

DB=4\ units

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

BC^2=DC^2+DB^2

substitute the given values

BC^2=8^2+4^2

BC^2=80

BC=\sqrt{80}\ units

simplify

BC=4\sqrt{5}\ units

7 0
3 years ago
Using two independent samples, two population means are compared to determine if a difference exists. The population standard de
ANTONII [103]

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are  

compared to determine if a difference exists, the population standard deviation is equal.  

sample size 1 = n_{1}= 15 and sample size 2 = n_{2} = 12  

since, population standard deviations are equal, required degrees of freedom              

= n_{1}  + n_{2} - 2 \\= 15 + 12 - 2\\ = 25  

8 0
2 years ago
Which of the following describes the graph of 2x + 4y < 16?
SSSSS [86.1K]

Answer:

dashes line shaded below

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Describe the angle as it relates to the digram <br> ;) :)
11Alexandr11 [23.1K]
The answer elevation /_angle B /_ V
6 0
3 years ago
Read 2 more answers
Other questions:
  • Principal =2,400 Rate=2% Time= 2years
    5·1 answer
  • You are making candles for your friends. A mold for the candles costs $22.50 and wax to make one candle costs $5. Write an algeb
    11·2 answers
  • A bag of peanuts serves about four people. If you want to have enough bags for 23 people, what is the minimum number of bags you
    13·2 answers
  • I have 2 questions to ask 1 is divide 180 degrees in a ratio of 4,5 and 9
    9·1 answer
  • What is 3 times minus 5 plus 23 times minus 9
    13·2 answers
  • Reflections preserve length and size. Give a quality the a reflection does not preserve.
    5·2 answers
  • (sin 9x)'<br>what is the derivative of sin 9x​
    8·2 answers
  • You earn $8.00 per hour. Worked 35.25 hours last week. What was you gross pay?
    5·2 answers
  • 8x-4y=-96 in slope intercept form
    14·1 answer
  • Find the missing number in the pattern:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!