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Gwar [14]
2 years ago
12

The diagram shows FGCE is the image of ABCD under and isometry. Given BCG is a straight line, determine angle DCE

Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

∠ BCD = 360° - (90 + 90 + 113)° = 360° - 293° = 67°

ABCD and FGCE are congruent figures , then

∠ GCE = ∠ BCD = 67°

BCG isa straight line , so

∠ BCD + ∠DCE + ∠ GCE = 180° , that is

67° + ∠ DCE + 67° = 180°

∠ DCE + 134° = 180° ( subtract 134° from both sides )

∠ DCE = 46° → D

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On Friday a bowling alley made $842.72 from Lane rentals in $412.38 from the concession stand.
Neko [114]

Answer:

d

Step-by-step explanation:

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3 years ago
What is the monthly interest rate corresponding to 24% APR with a debt of $10000
adelina 88 [10]

Answer: 2%

Step-by-step explanation: The APR is the annual percentage rate, which is the amount of interest that you pay in one year. In order to calculate the monthly rate you divide the annual rate by 12 months. 24% / 12 months = 2%

7 0
3 years ago
Please help me with question​
Mnenie [13.5K]

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

7 0
3 years ago
The Ransin Sports Company has noted that the size of individual customer orders is normally distributed with a mean of $112 and
Mashutka [201]

Answer: 2.71

Step-by-step explanation:

We know that the formula to calculate the standard error is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}, where \sigma is the standard deviation and 'n' is the sample size.

Given : Standard deviation : \sigma=\$9

Sample size : n=11

Then , the standard error of the mean is given by :-

S.E.=\dfrac{9}{\sqrt{11}}=2.7136021012\approx2.71

Hence, the standard error of the mean = 2.71

8 0
3 years ago
What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer
Alika [10]

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= 3\sqrt{2}

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; Diagonal= s\sqrt{2}

Where, s is side of square.

⇒ 3\sqrt{2} = s\sqrt{2}

Dividing both side by √2

⇒s= \frac{3\sqrt{2} }{\sqrt{2} }

∴s= 3

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; Perimeter= 4s

⇒Perimeter= 4\times 3

∴ Perimeter= 12

Hence, Perimeter of square is 12.

6 0
4 years ago
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