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3 years ago

Please help me with this math problem!! NO LINKS PLEASE!! :)

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

105°.

Step-by-step explanation:

1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;

2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible

3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.

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CARD #2:

aalyn [17]

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.

5 0

3 years ago

The following are weights in pounds of a college sports team: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 2

babunello [35]

Answer:

There are no values in the data that is two standard deviations below the mean.

Step-by-step explanation:

We are given the following data set in question:

165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{2971}{15} = 198.06$

The mean of sample is 198.06 pounds.

Sum of squares of differences = 7984.93

$S.D = \sqrt{\dfrac{7984.93}{14}} = 23.88$

The sample standard deviation is 23.88 pounds.

We have to find the weight that is 2 standard deviations below the mean.

$x < \bar{x}- 2s\\x < 198.06 -2(23.88)\\x < 150.3$

Thus, we have to find a value less than 150.3.

Sorted data: 165, 171, 174, 180, 182, 188, 189, 192, 198, 202, 202, 225, 228, 235, 240

There are no values in the data that is less than 150.3

4 0

4 years ago

Two accounts each begin with a deposit of $9000. Both accounts have rates of 3.1%, but one account compounds interest once a yea

Elodia [21]

<h3 />

Given : Initial deposit or the principal amount = $ 9000

Rate of interest = 3.1 %

Compound interest annually

= principal (1 + r/ 100)^t

here put value principal rate and time period 1, 5 10 and 20 years

and we get the amount for each time period

than for interest = amount - principal we get interest

as that we calculate all value:

given in the attachment

<h3>When do we use compound interest ?</h3>

When interest on a balance in a savings or investment account is reinvested, you receive compound interest, which results in higher interest payments. Money makes money, a wise man once said. And money makes money by making more money. Compound interest speeds up the long-term growth of your savings and investments.

To know more about compound interest visit:
brainly.com/question/22621039

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1 year ago

Evaluate x=-3, y=4, z=-5<br> Answers suggested below<br> -17<br> 41<br> 23<br> -40<br> -58<br> -16

tatiyna

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

6 0

3 years ago

The answer to this question

Alexeev081 [22]

Answer:

8.6

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3 years ago