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
Luba_88 [7]
2 years ago
14

Find the values of the variables and the measures of the angles

Mathematics
2 answers:
yuradex [85]2 years ago
8 0

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Tems11 [23]2 years ago
6 0

Answer:

x = 13 \\

Measure of the angles

39 \:  \: degrees \\ 51 \:  \: degrees

Step-by-step explanation:

<em>sum</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>interior</em><em> </em><em>angles</em><em> </em><em>in</em><em> </em><em>a</em><em> </em><em>triangle</em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\  \frac{7x}{7}  =  \frac{91}{7}  \\ x = 13</em>

<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>,</em>

<em> </em><em>now</em><em> </em><em>lets</em><em> </em><em>work</em><em> </em><em>out</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>angles</em>

<em>3x \\ 3 \times 13 \\  = 39</em>

<em>4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\  = 51</em>

You might be interested in
Sally wants to calculate how fast her little brother can run. What information does she need to know?​
White raven [17]
Speed,distance i’m not 100% sure tho
6 0
3 years ago
Read 2 more answers
3. Multiply<br> (5 points)<br> O<br> 33<br> -6<br> 40<br> O<br> mo<br> O
ladessa [460]

Answer: -7920

Step-by-step explanation: 33x-6x40= -7920

5 0
3 years ago
Read 2 more answers
What is the measure of the angle
pav-90 [236]

Answer:

it's 60 degree in my thinking

Step-by-step explanation:

hope this is the answer

8 0
3 years ago
Read 2 more answers
Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?
anastassius [24]

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

3 0
3 years ago
Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sods in pieces that are 1 1/3 yards long
Ne4ueva [31]

We are given

Jim's backyard:

Length is

L=15\frac{5}{6} =\frac{95}{6} yards

width is

W=10\frac{2}{5} =\frac{52}{5} yards

Since, this is rectangle

so, we can find area of rectangle

A=L*W

A=(\frac{95}{6})*(\frac{52}{5})

A=\frac{494}{3} yard^2

Area of one sod:

length is

l=1\frac{1}{3} =\frac{4}{3} yards

width is

w=1\frac{1}{3} =\frac{4}{3} yards

Since, it is rectangle in shape

so,

Area=l*w

A=\frac{4}{3}*\frac{4}{3}

A=\frac{16}{9}yard^2

Number of pieces of sod:

we can use formula

Number of pieces of sod = (area of Jim's backyard)/(area of one sod)

N=\frac{\frac{494}{3} }{\frac{16}{9} }

now, we can simplify it

N=\frac{741}{8} pieces need ..............Answer

7 0
3 years ago
Other questions:
  • How do you solve this 42/3÷36
    13·2 answers
  • (.75/0.03-23.5)/1.5*2/3+7/6 <br>WILL GIVE BRAINLIEST PLEASE HELP QUICK
    14·1 answer
  • How do write 412.638 using expanded form using decimals
    9·1 answer
  • Find the anwser to y=2x -4. &amp; 4x+y=2
    13·1 answer
  • Solve for x, when y = 5.<br> 9x + 2y = 10​
    15·1 answer
  • Write numerical expressions for “the product of 3 and 2, plus 5” and “3 times the sum of 2 and 5”.
    15·1 answer
  • I don’t know how to do this. Can someone help?!
    7·2 answers
  • The differenceof a minus 3 divided by 3
    10·1 answer
  • What describes a triangle if given segments are 3, 5 and 3
    15·2 answers
  • Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!