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3 years ago

If mZFBC = (10x – 9), mZCBE = (4x + 15), find mZFBE.

Mathematics

2 answers:

coldgirl [10]3 years ago

6 0

Answer:

mFBE = 14x + 6

Step-by-step explanation:

As you can see FBE is sum of FBC + CBE

Given mFBE = mFBC + mCBE

= 10x - 9 + 4x + 15

= 14x + 6

So mZFBE = 14x + 6

erastovalidia [21]3 years ago

5 0

Answer:

BEFmZ Is the answer i think

Step-by-step explanation:

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Mitchell buys a $1,400 dryer with an installment plan that requires 17% down. How much is the down payment?

Hunter-Best [27]

The amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Given:

Total cost of dryer = $1,400

down payment percentage = 17%

<em>Amount paid for down payment</em> = 17% of $1,400

= 17/100 × 1400

= 0.17 × 1400

= $238

Therefore, the amount of down payment Michelle paid for a dryer of $1,400 at 17% down payment is $238

Learn more about percentage:

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2 years ago

A 6-pack of capri-Suns costs $8.80 .How much would a 24-pack cost if the costs are proportional

andrew11 [14]

Now, in a 6-pack, there are 6 bottles, 6-pack.

in a 24-pack, there are 24 bottles, 24-pack.

so, if 6 bottles, cost 8.80, how much will it be for 24 bottles then?

$\bf \begin{array}{ccll}
bottles&price\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6&8.80\\
24&p
\end{array}\implies \cfrac{6}{24}=\cfrac{8.80}{p}\implies p=\cfrac{24\cdot 8.80}{6}$

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3 years ago

5. What is the slope of the line that passes through (-2, 4) and (7, 1)?

just olya [345]

Answer:

Slope: $-\frac{1}{3}$

Step-by-step explanation:

Step 1: Use slope formula to find the slope

$m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}$

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is $-\frac{1}{3}$

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3 years ago

A car factory made 30 cars with a sunroof and 9 cars without a sunroof. What is the ratio of

AfilCa [17]

Answer:

30:9

Step-by-step explanation:

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2 years ago

Construct the confidence interval for the population mean mu. c = 0.90, x = 16.9, s = 9.0, and n = 45. A 90% confidence inte

Georgia [21]

Answer:

The 90% confidence interval for population mean is $14.7 < \mu < 19.1$

Step-by-step explanation:

From the question we are told that

The sample mean is $\= x = 16.9$

The confidence level is $C = 0.90$

The sample size is $n = 45$

The standard deviation

Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as

$\alpha = 1-0.90$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the standardized normal distribution table. The values is $Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining critical values for $\frac{\alpha }{2}$ instead of that of $\alpha$ is because $\alpha$ represents the area under the normal curve where the confidence level 1 - $\alpha$ (90%) did not cover which include both the left and right tail while $\frac{\alpha }{2}$ is just considering the area of one tail which is what we required calculate the margin of error