I need to know the answer and how to solve the question for #9 please

Which statement is given in the diagram?

Bumek [7]

It's ASA

<C = <D
CB = DE
<B = <E

hope it helps
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8 0

3 years ago

Select the correct answer and then click Done.

Dimas [21]

Answer:

f(x) = (x + 10)(x + 4)(x - 1)

Step-by-step explanation:

Given the zeros of a polynomial, say x = a and x = b, then

the factors are (x - a) and (x - b)

The polynomial is then the product of the factors

f(x) = (x - a)(x - b)

Here the zeros are x = - 10, x = - 4 and x = 1, thus the factors are

(x - (- 10)), (x - (- 4)) and (x - 1), that is

(x + 10), (x + 4) and (x - 1)

f(x) = (x + 10)(x + 4)(x - 1)

3 0

3 years ago

Eva bought popcorn, candy and a drink at the movies. The popcorn was three times as expensive as the candy and the drink was twi

aliina [53]

The cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Given,

Eva bought popcorn, candy, and a drink at the movies.

The popcorn was three times as expensive as the candy and the drink was twice as expensive as the candy.

Eva spent a total of 10.50

We need to find the cost of popcorn, candy, and drink.

We have,

Let the cost of the candy be C.

Now,

The popcorn was three times as expensive as the candy.

Cost of the Popcorn = 3C

The drink was twice as expensive as the candy.

Cost of the drink = 2C

Eva spent a total of 10.50

Cost of popcorn + cost of drink + cost of candy = 10.50

3C + 2C + C = 10.50

Adding

6C = 10.50

Dividing by 6 into both sides

C = 10.50/6

C = 1.75.

Now,

Cost of the Popcorn = 3C = 3 x 1.75 = 5.25

Cost of the drink = 2C = 2 x 1.75 = 3.5

Cost of the candy = C = 1.75

Thus the cost of popcorn, drinks, and candy is 5.25, 3.5, and 1.75.

Learn more about finding the cost of items with the given total cost here:

brainly.com/question/357628

#SPJ1

6 0

1 year ago

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di

Olin [163]

Solution: We are given:

ACT scores follow normal distribution with $\mu=20.9,\sigma =4.8$

SAT scores follow normal distribution with $\mu=1026,\sigma=209$

Now, let's find the z score corresponding to Joe's SAT score 1351.

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

$=\frac{1351-1026}{209}$

$=\frac{325}{209}$

$=1.56$

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

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

$1.56=\frac{x-20.9}{4.8}$

$1.56 \times 4.8 = x - 20.9$

$7.488=x-20.9$

$x=20.9+7.488$

$x=28.388 \approx 28.4$

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4

7 0

3 years ago

The price of a four-year dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m

Leviafan [203]

The original price of a shirt was $20. It was decreased to $15 . What is the percent decrease of the price of this shirt.

Solution to Problem 1:

The absolute decrease is

20 - 15 = $5

The percent decrease is the absolute decrease divided by the the original price (part/whole).

percent decease = 5 / 20 = 0.25

Multiply and divide 0.25 to obtain percent.

percent decease = 0.25 = 0.25 * 100 / 100 = 25 / 100 = 25%

Problem 2:

Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?

Solution to Problem 2:

The part of her salary that is spent on food is $280 out of her monthly salary of $1200

percent = part / whole = 280 / 1200 = 0.23 (rounded to 2 decimal places)

Multiply and divide 0.23 by 100 to convert in percent

percent = 0.23 * 100 / 100 = 23 / 100 = 23%

Problem 3:

The price of a pair of trousers was decreased by 22% to $30. What was the original price of the trousers?

Solution to Problem 3:

Let x be the original price and y be the absolute decrease. If the price was decreased to $30, then

x - y = 30

y is given by

y = 22% of x = (22 / 100) * x = 0.22 x

Substitute y by 0.22 x in the equation x - y = 30 and solve for x which the original price.

x - 0.22 x = 30

0.78 x = 30

x = $38.5

Check the solution to this problem by reducing the origonal price found $38.5 by 22% and see if it gives $30.

Problem 4:

The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?

Solution to Problem 4:

First decrease in percent

part / whole = (120 - 100) / 120 = 0.17 = 17%

Second decrease in percent

part / whole = (100 - 80) / 100 = 0.20 = 20%

gave number of questions

same conccepttttt

thanxxxxx

5 0

3 years ago