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zvonat [6]
2 years ago
14

The angle measurements in the diagram are represented by the following expression

Mathematics
1 answer:
saul85 [17]2 years ago
8 0

Answer:

  1. A=B(alternate angle r equal)
  2. 8x-10=3x+90
  3. 8x-3x=90+10
  4. 5x=100
  5. x=100/5
  6. x=20

hope it helps.

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Solve the compound inequality for x and identify the graph of its solution.
RoseWind [281]

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

8 0
3 years ago
What is the Domain of the function indicated by the points on the plane?
kondor19780726 [428]
<h2>Answer:</h2>

A.) {-6, -2, 5}

<h2>Step-by-step explanation:</h2>

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function. From the figure, we can see that this set is the x-coordinate of each red point. So this set is {-6, -2, 5}

4 0
3 years ago
Select the two values of x that are roots of this equation x^2-5x+2=0
Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}

x =\frac{5 \pm \sqrt{25-8} }{2}

x =\frac{5 \pm \sqrt{17} }{2}

x =\frac{5 + \sqrt{17} }{2} OR x =\frac{5 - \sqrt{17} }{2}

x =\frac{5 + 4.12}{2} OR x =\frac{5 - 4.12}{2}

x =\frac{9.12}{2} OR x =\frac{0.88}{2}

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

#SPJ1

3 0
2 years ago
A school director must randomly select 6 teachers to part in a training session. There are 34 teachers at school. In how many di
prohojiy [21]

Answer:

Total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

Step-by-step explanation:

It is given that total number of teachers at a school is 34.

The school director must randomly select 6 teachers to part in a training session.

^nC_r=\frac{n!}{r!(n-r)!}

Where, n is total possible outcomes and r is number of selected outcomes.

Total teachers = 34

Selected teachers =6

Total number of possible ways to select 6 teachers from 34 teacher is

^{34}C_6=\frac{34!}{6!(34-6)!}

^{34}C_6=\frac{34\times 33\times 32\times 31\times 29\times 28!}{6!(28)!}

^{34}C_6=1344904

Therefore total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

7 0
3 years ago
What is the equation of a line that has a slope of 0 and a y-intercept of 4
finlep [7]

Answer:

y = 4

since you cant have y = 0x + 4, you drop the x and have a straight line (slope of 0) that runs all along the y point of 4.

7 0
3 years ago
Read 2 more answers
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