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3 years ago

Answer 5 questions on the bottom right side.

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

1)m<ABH=121°

2)m<GDF=59°

3)X=35

4)m<ABC=59°

5)m<EDA=59°

Step-by-step explanation:

1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other

5x-54=3x+16

5x-3x-54=3x-3x+16

2x-54=16

2x-54+54=16+54

2x=70

2x/2=70/2

X=35

2. Now plug in X to each equation to test if it works

5(35)-54=3(35)+16

175-54=105+16

121=121

3. Now replace the two expressions with 121

4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.

5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16

NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.

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Carlos earns $11 per hour at his job. Let x represent the number of hours he worked in May. Let y represent the number of hours

Firlakuza [10]

11x+11y

11(x+y)

Explanation

Step 1

Let

Carlos earns == 11 per hour

x represents the number of hours he worked in May

the,

the amount he earned in Mayis

$11\cdot x=11x$

y represent the number of hours he worked in June.

the amount he earned in June was

$11\cdot y=11y$

Step 2

the amount of money he earned is May and June is the sum of the values

$\begin{gathered} \text{total}= \\ 11x+11y \\ \text{if we factorize 11} \\ 11(x+y) \end{gathered}$

I hope this helps you

5 0

1 year ago

What's 15 times 5 - 3 + 10

Levart [38]

Answer:

180

Step-by-step explanation:

if its

15 x (5-3+10)

3 0

3 years ago

Read 2 more answers

A researcher collected data from a sample of correctional officers and found that on average they made 47,173 dollars a year wit

ollegr [7]

Answer:

a) $z = \frac{40000- 47173}{6364} = -1.127$

b) $z = \frac{50000- 47173}{6364} = 0.444$

c) $P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the amount of money of a population of interet, and we know the following info:

Where $\bar X=47173$ and $s=6364$

We can assume that the sample size is large and the estimators can be used as a good description for the parameters $\mu \sigma$

The z score for 40000 would be:

$z = \frac{40000- 47173}{6364} = -1.127$

Part b

The z score for 50000 would be:

$z = \frac{50000- 47173}{6364} = 0.444$

Part c

We are interested on this probability

$P(X>40000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

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3 years ago

What is the vocabulary of eqations

elixir [45]

Answer:

That's the mathematical meaning of equation, but equation can also be used in any number of situations, challenges, or efforts to solve a problem. The "equa" at the beginning of equation will be familiar from other words such as "equal," "equality," and "equate."

Step-by-step explanation:

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3 years ago

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tensa zangetsu [6.8K]

Answer:

(6t) + (3t) + (4t)

Simplified it would be 13t

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3 years ago

Answer 5 questions on the bottom right side.​

Answer 5 questions on the bottom right side.