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
ratelena [41]
2 years ago
13

In the figure below, what is the value of x

Mathematics
1 answer:
kykrilka [37]2 years ago
3 0

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

You might be interested in
Consider the following data points.
Hoochie [10]

Answer:

the equation of the least-squares line for the data is: \hat Y=9.3+1.3x

Step-by-step explanation:

In a simple linear regression model, such as, \hat Y=b_0+b_1x, the coefficients bo and b1 are estimated through the method of least squares by the use of the equations:

b_1=\frac{S{xy}}{S_x^2}\\\\b_0=\bar{y}+b_1 \bar{x}

For the data provided you have to:

S_{xy}=\frac{\sum {(x_i-\bar x)(y_i-\bar y)}}{n-1}=3.25\\\\S_x^2=\frac{\sum {(x_i-\bar x)^2}}{n-1}=2.5\\\\\bar y=5.4, thus:

b_1=\frac{3.25}{2,5}=1.3\\\\b_0=5.4+1.3(3.0)=9.3

the equation of the least-squares line for the data is:

Y=9.3+1.3x

8 0
3 years ago
Read 2 more answers
Please answer this correctly if you can. No Links. Thank you
Semmy [17]

Answer:

y=x+3

(0,3)(1,4)

y=x+2

(0,2)(1,3)

Step-by-step explanation:

- For Y=X+3 it could be any point for Y as long as X is 3 less than Y.

- For Y=X+3 it could be any point for X and long as Y is 3 more than X.

- For Y=X+2 it could be any point for Y as long as X is 2 less than Y.

- For Y=X+2 it could be any point for X and long as Y is 2 more than X.

4 0
2 years ago
Read 2 more answers
Can u plz help me in this plz?
Yanka [14]
There isn’t a picture what do you need help with
7 0
2 years ago
Bill likes the outdoors, nature walking, and hunting deer and turkeys.
Lelechka [254]

Answer:

teacher got the answer physical theripists wrong on usatestprep

the naswer is teacher i promise it is teacher

Step-by-step explanation:

5 0
3 years ago
Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of re
Semenov [28]

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

\frac{7}{13}  \times 260

=140

for the second angle

260-140=120

5 0
2 years ago
Other questions:
  • Austin Avenue Accessories borrowed $14,000 for 3 years at a simple interest rate of 6.6%. The interest is to be paid semiannuall
    5·1 answer
  • 32÷891 using long division
    6·2 answers
  • In what different ways can 45 be written as the product of two positive integers?
    9·1 answer
  • A ball is thrown into the air with an initial upward velocity of 45 ft/s its height is(h) in feet after t seconds is given by th
    10·1 answer
  • Another challenge for you guys​
    7·2 answers
  • Find the value of x.
    12·1 answer
  • Help !!! I need the answer now, it’s for a test I’m taking on math.
    10·1 answer
  • The length of a rectangular garden is 3 yards more than its width. The area of the garden is 40 square yards. Find the length of
    7·1 answer
  • HELP ME PLZ!!!!!<br> Which are two ways to represent the slope, m, of the line shown?
    15·1 answer
  • Solve for x 2(x+5)&lt;3(x+2)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!