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chubhunter [2.5K]
3 years ago
9

Can anyone explain to me how to solve for this?

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

The angle formed by two secants is half the difference of the intercepted arc angles.

m∠D = ½ (mBS − mCE)

60 = ½ (173 − (5x − 2))

120 = 173 − 5x + 2

5x = 55

x = 11

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I am learning about estimating quotients using multiples. 188 divided by 5 =
Dmitriy789 [7]

Answer:

37.6

Step-by-step explanation:

8 0
3 years ago
When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
Find the lateral area of the prism. 27 sq. ft. 36 sq. ft. 54 sq. ft. Find the total area of the prism. T.A.= Find the volume.
Yakvenalex [24]
The volume would be 54 sq. f.
7 0
3 years ago
Read 2 more answers
Determine the surface area of the cylinder below.
Dahasolnce [82]

Answer:

<u>9π m²</u>

Step-by-step explanation:

We will need calculate the area of the top, the base and  sides.

Area of the top=πr²

Area of the base=πr²

Area of the side: 2πrh

Surface area of a cylinder: area of the top + area of the base +area of the side

Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)

Data:

r=1.5 m

h=1.5 m

Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².

6 0
3 years ago
HELP! Please! A car is traveling at a rate of 15 meters per second. What is the car's rate in kilometers per hour? How many kilo
gizmo_the_mogwai [7]

Answer:

0.06km

Step-by-step explanation:

15÷1000=0.0015

0.0015×4=0.06

7 0
2 years ago
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