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balu736 [363]
3 years ago
6

Given the following: measure of arc A B equals measure of arc B C equals measure of arc C D.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0
<span>In circle F, what is the measure of ∠ CED ?
Given mAB = mBC = mCD = 36</span>°<span>

So
</span> ∠ CED =  1/2(mCD) = 1/2(36°) = 18°

Answer:
<span>B. 18</span>°<span>
---------------------------------------------------------------------

</span><span>What is the measure of ∠GET?
</span><span>
Given mTG = 70</span>°<span>
so
<TNE = 1/2(</span>mTG) = 1/2(70°) = 35°
<span>
Right triangle NTG , < NTE = 90</span>° and <TNE = 35°
so <TEN = 90° - 35° = 55°

 <TEN = <GET = 55°
<span>
Answer
</span><span>A. 55</span>°
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Miguel reels his teacher that 1/5 is the same as 20% what best justifies Miguel’s answer
horrorfan [7]
If you do the proportion, you have to put 1/5 = 20/100. The 20 represents the percentage. Then you have to say to yourself that how many time 5 goes to 100, well its x20 then if we multiply 1 x 20 we'll get 20. So, he is correct, 1/5 = 20%. Remember what number we think of when we hear the word percent, the number is 100.
5 0
3 years ago
Read 2 more answers
Help me plssssssssssss
DiKsa [7]

9514 1404 393

Answer:

  f^-1(x) = 4+∛((x-6)/5)

Step-by-step explanation:

To find the inverse function, solve ...

  x = f(y)

then write the answer in functional form.

  \displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}

__

The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.

3 0
2 years ago
Rewrite the expression −7/8 − 2 1/4 ​as the sum of two numbers.
pychu [463]

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.

4 0
3 years ago
Which statements about the system are true?
Kruka [31]

2 Answers:

  • B)  The lines are parallel
  • C)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

5 0
3 years ago
A heated piece of metal cools according to the function c(x) = (.5)x − 11, where x is measured in hours. A device is added that
e-lub [12.9K]
16.5 degrees below the starting temp, whatever that is. If its 0, then -16.5 degrees.

The first equation would be (.5)5-11=-8.5, because the metal has been cooling for 5 hours.

The device that 'aids' in the cooling would be -5-3=-8, because it is a separate variable that cools the metal, so the amount the device cools is independent of the natural cooling amount, and the equation is independent of the natural cooling equation.
You then add -8.5 and -8, because the device has lowered 8.5 degrees and 8 degrees. This equals -16.5 degrees, or a decrease of 16.5 degrees.
7 0
3 years ago
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