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3 years ago

Helpp please !!!!!!!!!!

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

6 0

Answer:

x= 4

m<ABC= 56

Step-by-step explanation:

since BD bisects, both sides of the angle are equal.

So we can set up an equation like this: <ABD=<CBD

(9x-8)=(5x+8) calculate for x

you'll find x=4

then put four into one of the angle equations

9(4)-8=28

now we know each side of the angle is 28, double it to find the whole (<ABC)

28+28=56

You might be interested in

0.04 rounded to the nearest hundreth and 0.2% rounded to the nearest hundreth

ELEN [110]

To round a number, you look to the next place to the right of what you want to round to... for example, if you want to round to the nearest hundredth, you look to the thousandths place to see whether the hundredths place rounds up or down.

0.04 is already at the hundredths place so the thousandths place is zero... the answer to the nearest hundredth is 0.04.

For 0.2%, you have to convert the percentage to a decimal by dividing by 100 (move the decimal 2 places to the left).

0.2% = 0.002

So now to round to the nearest hundredth, we look to the thousandths place. The thousandths place has a 2 in it so the hundredths place rounds down. 0.2% total he nearest hundredth is 0.

7 0

4 years ago

Suppose that 70% of college women have been on a diet within the past 12 months. A sample survey interviews an SRS of 267 colleg

Fofino [41]

Answer:

The probability that 75% or more of the women in the sample have been on a diet is 0.037.

Step-by-step explanation:

Let X = number of college women on a diet.

The probability of a woman being on diet is, P (X) = p = 0.70.

The sample of women selected is, n = 267.

The random variable thus follows a Binomial distribution with parameters n = 267 and p = 0.70.

As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions ( $\hat p$ ) follows a Normal distribution.

The mean of this distribution is:

$\mu_{\hat p} = p = 0.70$

The standard deviation of this distribution is: $\sigma_{\hat p}=\sqrt{\frac{p(1-p}{n}} =\sqrt{\frac{0.70(1-0.70}{267}}=0.028$

Compute the probability that 75% or more of the women in the sample have been on a diet as follows:

$P(\hat p \geq 0.75)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}} \geq \frac{0.75-0.70}{0.028}) =P(Z\geq0.179)=1-P(Z$

**Use the z-table for the probability.

$P(\hat p \geq 0.75)=1-P(Z$

Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.

7 0

3 years ago

HELP!

Contact [7]

This is about changing subject of formula.

1) Option D

2) Option B

3) Option C

4) Option C

5) Option B

1) $\frac{2}{3}$ x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by $\frac{3}{2}$ .

Option D is correct

2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

3) S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x $\leq$ 250

11x $\leq$ 250 - 35

11x $\leq$ 215

x $\leq$ 215/11

x $\leq$ 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0

3 years ago

Dennis is joining an online video game service. He will pay $25.50 to purchase each game plus a one-time foe of $4500 to join

insens350 [35]

Answer:

I am pretty certian it is A

Step-by-step explanation:

You add the x to 25.50 because it is unknown how many games he will buy and add the one time pay of 4,500 to enter the service/company

So it is y= 25.50x + 45

6 0

3 years ago

Read 2 more answers

Select the correct answer.

sp2606 [1]

The perimeter of the pentagon with apothem of 5cm is 28.87cm

<h3>How to calculate the perimeter of a pentagon</h3>

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

Learn more on perimeter of pentagon here: brainly.com/question/11484726

6 0

2 years ago