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
Pie
3 years ago
11

Find the value of x.

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

A straight line is 180°, so you can do:

109 + ? = 180 (? is the top angle of the triangle)

? = 71°

Because the triangle is an isosceles triangle, the other angle is 71° too.

71 + 71 + ? = 180

? = 38

You subtract 38 with 90 to find the other angle.

90 - 38 = 52°

To find ∠2 you subtract 52 with 180.

180 - 52 = 128

∠2 = 128

128 = 11x + 18

110 = 11x

10 = x

You might be interested in
What is the area of a circle with a radius of 1
dlinn [17]

To find the area of a circle, you have to use the area formula:

r being your radius

A = \pi r^{2}

Substitute 1 in for r

A = \pi (1)^{2}

A = \pi

8 0
3 years ago
Read 2 more answers
When the factors of a trinomial are (x+p) and (x-q) then the coeffcient of the x term in the trinomial is?
Tatiana [17]
The coefficient is:  "1" .
____________________________________________________
          Note:  There is an "<u>implied coefficient</u>" of "1"; since "1",  multiplied by any value, is equal to that exact same value; by convention, we eliminate the "1" as a coefficient.
____________________________________
Further explanation:
____________________________________
(x+p)(x−q) = x² − xq + px − pq ;
____________________________________

(x+p)(x−q) =  {using "FOIL" → "First, Outer, Inner, and Last" terms}:
____________________________________
<u>F</u>irst:    x*x = x² ;

<u>O</u>uter: x*(-q)= -xq ;

<u>I</u>nner:  p*x = px ;

<u>L</u>ast:   p*(-q) = -pq
_________________________________
  (x + p)(x − q) = x² − xq + px − pq .
_________________________________
4 0
3 years ago
Part A: The club has learned from experience over the years that when they do not charge an admission fee, attendance is 800 peo
sesenic [268]

Answer:

750

Step-by-step explanation:

800 - 8p = 750

5 0
3 years ago
In ΔABC, the measure of ∠C=90°, the measure of ∠B=15°, and BC = 2.8 feet. Find the length of CA to the nearest tenth of a foot.
8090 [49]

Answer:0.8 feet

Step-by-step explanation:got it right

7 0
2 years ago
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a
spin [16.1K]

Answer:

Mean = 68.9

s^2 =18.1 --- Variance

Step-by-step explanation:

Given

\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5

For 59 - 66

x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5

For 67 - 74

x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5

For 75 - 82

x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5

For 83 - 90

x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5

So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

Solving (b): The sample variance:

This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

So, we have:

s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

s^2 =18.1 -- approximated

5 0
3 years ago
Other questions:
  • Help ASAP please please
    9·1 answer
  • Convert <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B280%7D" id="TexFormula1" title="\frac{1}{280}" alt="\frac{1}{280}" al
    14·1 answer
  • The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y. Which corner point of the shad
    13·1 answer
  • CAN YOU HELP WITH THIS ONE QUESTION , JUST TRYING TO GET BACK ON HONOR ROLL !
    12·1 answer
  • Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati
    7·2 answers
  • Monica's family is thinking about going on a vacation. They are debating about whether
    14·1 answer
  • What is m∠1?..............
    15·1 answer
  • Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the
    10·3 answers
  • (QUICK I NEED HELP)
    13·2 answers
  • Help me! Please :) waaaaaaa
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!