Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C

Answer:

$8.46

Step-by-step explanation:

15%=0.15

56.40(0.15)

8.46

Answer:

f means you have a function rule. f(4) is the y-value corresponding to x = 4. ------ Example: If f(x) = 2x + 3.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You have to set up a proportion for this!

Because ABC and PAQ are similar triangles (same angles and PQ || BC), you can assume that all the equivalent sides are proportional!

If you solve the proportion for x:

[tex]\frac{x}{40} =\frac{7}{35}[/tex]

x = 8

Answer:

The graph of g(x) has a lesser y intercept

Step-by-step explanation:

Given

f(x) = 100(-x + 4)

Required

Determine the relationship between f(x) and g(x)

First, we need to get the equation of g(x).

From the question, we have that:

Initial Value = 360

Rate = -90 yearly

[It is negative because the rate shows decrement]

Hence, the equation of g(x) is:

g(x) = Initial Value + Rate * x

Where x represents number of years

g(x) = 360 + (-90 * x)

g(x) = 360 - 90x

g(x) = -90x + 360

Recall that

f(x) = 100(-x + 4)

f(x) = -100x + 400

To solve y intercept, we set x = 0.

f(0) = -100 * 0 + 400 = 0 + 400 = 400

g(0) = -90 * 0 + 360 = 0 + 360 = 360

By comparison, the graph of g(x) has a lesser y intercept

To solve x intercept, we set y = 0

For f(x)

0 = -100x + 400

100x = 400

x = 4

For g(x)

0 = -90x + 360

90x = 360

x = 4

By comparison, they have the same x intercepts.

From the list of given options, option A answers the question.

Answer:

Shade 5 slices.

Step-by-step explanation:

15 / 3 = 5

5 * 3 =15

Answer: Number of winning tickets =7 and Number of losing tickets = 28 .

Step-by-step explanation:

Given: Total tickets = 35

The ratio of winning tickets to losing tickets = 1:4

Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]

[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]

Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]

[tex]=4\times7=28[/tex]

Hence, Number of winning tickets =7 and Number of losing tickets = 28 .

Answer:

7 wining tickets and 28 losing tickets

Step-by-step explanation:

Answer:

5(5v+4)=17v+8v+9+9

25v+20=25v+18

25v-25v=18-20

0v=-2

i think soooo

this question is very very irrelevant

Step-by-step explanation:

Answer:

The package contains 3 t-shirts and costs $18.75

$18.75/3 = unit price

Unit price = 6.25$

So, the correct answer is A.

Answer:

Hi the answer would be 9,000 or nine thousand

Step-by-step explanation:

Hope this helps <3

Answer:

Hrmm

Step-by-step explanation:

12)/1.2=120/12=10m^2

4.8/1.2=48/12=4m^2

6.6/1.2=66/12=11/2=5.5m^2

this is another way you can do it

1. 12/1.2 times as much paint, so 12/1.2 times as much area.

2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.

3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.

Answer:

6.3

Step-by-step explanation:

10 blankets with an unidentified price plus 12 for shipping is equal to 75

10x+12=75

minus 12 from both sides

10x=63

divide 10 from both sides

x=6.3

Now, let's prove the answer is true.

10x+12=75

Replace x with 6.3

10(6.3)+12=75

10 times 6.3

63+12=75

75=75

The statement is true.

Answer:

I think it is 42.

Because one dozen is equal to 12, and we have 3 dozens, which is equal to 36, then add a half dozen, which is 6, then the total answer will be:

12+12+12+6= 42

I hope this helps.

Answer:

42

Step-by-step explanation:

3.5 dozen is 42

Dozen is 12. 12*3.5= 42

Answer:

can u re-upload the image i cant see it

Step-by-step explanation:

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test

Answer:

3/5=360 mph 11/12=550 4/15=160

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

the percent is given by the ratio 735 / 2100 = 7/20 = 0.35

which in percent form is 35%

This question is incomplete, the complete question is;

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,

find the mean and variance for the number of voters who support the referendum.

Answer:

a) The Mean is 22

b) Variance is 9.9

Step-by-step explanation:

Given that;

55% of the voters support a particular referendum p = 0.55

q = 1 - p = 1 - 0.55 = 0.45

sample size n = 40

a)

Mean = sample size n × p

Mean = 40 × 0.55

Mean = 22

Therefore the Mean is 22

b)

Variance = n × p × q

so we substitute

Variance = 40 × 0.55 × 0.45

Variance = 9.9

Therefore the Variance is 9.9

Answer:

1120

Step-by-step explanation:

The ratio Steve : Mandy is 5 : 3.

We use a proportion to find the number of votes Steve received.

x = number of votes Steve received.

5/3 = x/420

3x = 5 * 420

x = 5 * 140

x = 700

Steve received 700 votes.

The total number of votes is the sum of the votes Steve receive and Mandy received.

420 + 700 = 1120

Answer:

136 or 34

Step-by-step explanation:

not sure if its right because my math is bad

Answer:

The product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Step-by-step explanation:

Matrix multiplication

To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.

If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).

Matrix A has two rows and three columns (2x3)

Matric C has three rows and two columns (3x2)

If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.

Since both numbers are 2, the product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Answer:

7uby-step explanation:

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

Answer:

Kx20=N

Step-by-step explanation:

k with be the number multiplied by 20 and then N will be the answer  

The expression for the total amount she charged can be represented as A = 20n.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

For example 2x = 54

An expression is a mathematical proof of the equality of two mathematical expressions.

Given that,

She will charge $20 for every lawn

Number of lawns she mows = n

Total charge let's represent by A

Then,

A = 20n will be the correct expression.

Hence "The expression for the total amount she charged can be represented as A = 20n".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

3/4

Step-by-step explanation:

4/5 divided by 16/15 = 4/5 x 15/16

Simplfied = 1 x 3 / 1 x 4

Simplified = 3/4

Thus, our answer is 3/4