A shape is made of 9 right triangles of equal size and three identical rectangles. Each rectangle measures 7 mm wide and 3 mm high. What is the total area, in square mm of the shape?

Answer:

14) ∠CBE = 118°  supplementary to 62°

15) ∠ABF = 28°  complementary to 62°

16 ∠CBA = 152° because it is vertical to ∠DBF

Step-by-step explanation:

14) ∠CBE = 180° - 62° = 118°

15) ∠ABF = 90° - 62° = 28°

16) ∠DBF = 90°+ 62° = 152°

    ∠CBA = ∠DBF

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

Answer:

[0, -7, 1]

[0, 3, 4]

Answer:

The second one

4/5 is next to x

And the y intercept is NEGATIVE 6 or (-6)

Step-by-step explanation:

Answer: 47/363

(Decimal: 0.129477)

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637

1) A graph is linear when the line on a graph is a straight line with no curves.

2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.

3) (I don't know what type of equation you mean but this is my guess)

Division is the last step of an equation.

Answer:

b

Step-by-step explanation:

250 ÷5 = 50

$50

Hope this helps!

Answer:

yo i know the answer its 5$ for me to help

Step-by-step explanation:

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

D

Step-by-step explanation:

Have a nice day!

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

X = 3

Step-by-step explanation:

All you do is add the angles up and set them equal to 180.

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]

<=> x = 0 (because x 《 2)

e)

[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]

<=> x = -1/4

Answer:

[tex]a) [x: - \infty < x < \infty ][/tex]

[tex]b)[x: - 1][/tex]

[tex]c) [x:- \frac{5}{3} ][/tex]

[tex]d) [x: 3, 0][/tex]

[tex]e) [x: - \frac{1}{4} ][/tex]

Answer:

x=−16

Step-by-step explanation:

−4x−18=46

Add 18 to both sides

−4x−18+18=46+18

−4x=64

Divide both sides by -4

-4x/4=64/-4

x=−16

Answer:

x=    -16

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x − 18 = 46

Step 1: Add 18 to both sides.

−4x − 18 + 18 = 46 + 18

−4x = 64

Step 2: Divide both sides by -4.

−4x / −4  =  64  / -4

x=−16

Hope it helps T-T

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that [tex]p = 0.08[/tex]

Sample of 11 college graduates:

This means that [tex]n = 11[/tex]

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

The answer would be x=18. First you set it up by setting up an equation;

166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.  

Answer:

66.67%

Step-by-step explanation:

75 /100 = .75

.75n = 45

45/.75 = 60

60 is n

60/90 = .666667

.666667 * 100 = 66.67%

Answer: for this problem, I will be using proportions.

Step-by-step explanation:

Find n

45 x 100 = 4,5000

4,5000 / 75 = 60

n = 60

60 x 100 = 6,000

6,000 / 90 = 66.66%

So, n is equal to 60 and n is 66.66% of 90.

Answer:(-3,-8),(-6,4),(1,-1)

Step-by-step explanation:

Given

Vertices of the triangle are

[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]

Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign

[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2