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Contact [7]
2 years ago
5

Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =

2(m∠CEA) ∠CEF is a straight angle. ∠AEF is a right angle.

Mathematics
2 answers:
Papessa [141]2 years ago
7 0

Answer:

it is A, D, E

Step-by-step explanation:

igor_vitrenko [27]2 years ago
4 0

Answer:

mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.

CEF is a straight angle because there are two 90ᴼ angles (CEA and AEF) and therefore there is 180ᴼ in total. A straight line has a measure of 180ᴼ.

AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.

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X^2/81 + y^2/64 = 1 The major intercepts are at (±9, 0) (±8, 0) (0, ±9)
Inessa [10]

Answer:

Step-by-step explanation:

Your question is unclear. What are "major intercepts"?

x²/81 + y²/64 = 1

The major axis is horizontal.

0²/81 + y²/64 = 1

y-intercepts = ±8

x²/81 + 0/64 = 1

x-intercepts = ±9

4 0
1 year ago
a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

x \leq 200 -----> inequality A

y \leq 300 -----> inequality B

x+y \leq 435 -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

P=50x+35y

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- P=50(0)+35(300)=\$10,500

For (135,300) ----- P=50(135)+35(300)=\$17,250

For (200,235) ----- P=50(200)+35(235)=\$18,225

For (200,0) ----- P=50(200)+35(0)=\$10,000

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

4 0
2 years ago
Read 2 more answers
A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?
katen-ka-za [31]

Answer:

\displaystyle y = \frac{1}{3}x

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

_______________________________________________

−3 = ⅓[−9] + b

−3

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

8 0
2 years ago
Read 2 more answers
Rodolpho uses a prepaid gas card to spend $35 each week for gas. After the first week, he has $140 left on the card. After every
noname [10]

I got this T_T y=175-35t

But maybe its y= -35t + 175 since its negative :)

4 0
2 years ago
The sum of the squares of two consecutive even integers is 884. find the integers
andriy [413]
2x + 2x +2 are the integers
4x^2 + 4x^2 +8x +4 =884 (The sum of the integers squared)
8 x^2 +8x -880 = 0

x = 10
Therefore, the integers are:
20 and 22




3 0
2 years ago
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