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2 years ago

Given that m∠ABD = 84° and m∠BAC = 37°, what is the m∠ACD?

Mathematics

1 answer:

stich3 [128]2 years ago

7 0

Answer: 84°

Step-by-step explanation:

Pardon my drawing, I know it;s not prefect, and I'm not sure how to draw a figure on Brainly, but this is the best I can do. For this problem, it is easier to draw it out so you can see that the angles look like. Just pretend the lines are filled in, and this is a perfect parallelogram.

A ________________ C

/ /

B /_______________/ D

As you can see, the angles given in the problem gives us a parallelogram. Since we know m∠ABD is 84° and m∠BAC is 37°, we know that m∠ACD is 84°. If you draw diagonal lines, ∠ABD and ∠ACD are vertical angles. Vertical angles are congruent. Therefore, m∠ACD is 84°.

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Pensé dos números. Si los sumo obtengo 20. Si al doble del primer número le sumo 35 obtengo el segundo. ¿ qué número pensé?

SpyIntel [72]

For this case, the first thing we must do is define variables:
x: first number
y: second number
We now write the system of equations:
x + y = 20
y = 2x + 35
Solving the system we have:
x = -5
y = 25
Answer:
The numbers are:
x = -5
y = 25

4 0

2 years ago

A group of 59 randomly selected students have a mean score of 29.5 with a standard

algol [13]

Answer:

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

$\bar X = 29.5$ represent the sample mean

$\mu$ population mean

s= 5.2 represent the sample standard deviation

n=59 represent the sample size

Confidence interval

The confidence interval for the true mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=59-1=58$

The Confidence interval is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value is $t_{\alpha/2}=1.671$

Now we have everything in order to replace into formula (1):

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

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2 years ago

Simplify. –24 – 8 ÷ (–4) <br> A. –22 <br> B. –8 <br> C. –26 <br> D. 8

pishuonlain [190]

Hi there! The answer is A. - 22

We can use PEMDAS to find our answer, which says divide first (before adding).

- 24 - 8 : (-4) =

Since we divide two negative numbers, we end up with a positive value.
- 24 + 2 =

Now we can add
-24 + 2 = -22

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2 years ago

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Rachna purchases a plant that is 6 inches tall. Every week the plant grows an additional 0.6 inches. Rachna draws a graph of the

aleksklad [387]

Answer:

0.6

Step-by-step explanation:

Slope is the change in y divided by change in x.

x is weeks

y is height

We know plant grows 0.6 inches every week. This means per 1 week [change in x], the plant grows 0.6 inches [change in y]

Slope = 0.6/1 = 0.6

0.6 is the slope of the function

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2 years ago

The altitude of a helicopter increases 1000 feet every 4 minutes.

tatiyna

Answer:

1/250

Step-by-step explanation:

1000/4 simplifies to 1/250

All you had to do was simplify it

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2 years ago

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