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Ksenya-84 [330]
3 years ago
13

What statements are true regarding the given statement and diagram? ∠CED is a right angle. ∠CEA is a right angle. m∠CEA = One-ha

lf(m∠CEB) m∠CEB = m∠BEA m∠DEB = 135° m∠AEB = 35°

Mathematics
2 answers:
Alex73 [517]3 years ago
7 0

Answer:

A: ∠CED is a right angle.

B: ∠CEA is a right angle.

D: m∠CEB = m∠BEA

E: m∠DEB = 135°

Step-by-step explanation:

EDGE 2020

Dimas [21]3 years ago
5 0

Answer: A. B. D. E.

Step-by-step explanation:

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Select all expressions that are equivalent to 10q + 5 ?
OLga [1]

Answer:

5q + 5q + 5

2q + 5 + 8q

 

5(2q + 1)

Step-by-step explanation:

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A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft
Natasha_Volkova [10]
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4 0
3 years ago
Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
Use mental math to find the difference.<br> 532-116
ExtremeBDS [4]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the diameter of the circle with the given circumference use 3.14 C=18
algol [13]
The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
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Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped
3 0
3 years ago
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