Solving steps and answer!

9514 1404 393

Answer:

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

Answer:

y=-x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-1(x-1)

y+3=-1(x-1)

y=-x+1-3

y=-x-2

Answer:

Distributive property

Step-by-step explanation:

Distributive property: Multiplying the sum of two+ addends by a number will be equal as multiplying each addend by itself by the number and then adding them together.

Answer:

a lot of kids and adults

Step-by-step explanation:

Answer:

20C4=4845

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

simplify both sides of the equation then isolate the variables. hope this helps

Answer:

ac

Step-by-step explanation:

Answer:

16x + 8y

Step-by-step explanation:

Answer:

16x+8y

Step-by-step explanation:

3x +8y+13x

combine like terms

16x+8y

Answer:

Part A:  y = 3

Part B:  Area = 60 sq units

Step-by-step explanation:

we can create this system of equations from the information given:

8y + 2x = 34

10y + 2x = 40

now we can subtract to get:

-2y = -6

y = 3

solve for 'x':

8(3) + 2x = 34

24 + 2x = 34

2x = 10

x = 5

Area of Rectangle is 12 x 5

Answer:

Pickles. My friends are allergic to cheese.

Answer:

C

Step-by-step explanation:

the basketball team scored greater than 48 points.

Answer:

18ft

Step-by-step explanation:

:p

The height of the tree is 14 feet.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Height of Man= 6 feet

Shadow height= 5 feet

and, Height of tree shadow= 15 feet

So, using Proportion

FE/ BC = FA/ AC

6 / x = 5 / 15

5x= 90

x= 14 feet

Hence, the tree is 14 feet tall.

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer:

Step-by-step explanation:

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.

Receiver: Kenwood, Sony, Sherwood

Compact disc player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Turntable: Onkyo, Sony, Teac, Technics

A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:

A. In how many ways can one component of each type beselected?

B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

Answer:

81 ............................

Answer:

81

Step-by-step explanation:

just multiply 3 to itself 4 times.

Answer:

37.50%

Step-by-step explanation:

The computation of the percentage of people who smoke have high blood pressure is shown below:

Given that

There is 50% of the people who has the high blood pressure

And, out of which 75% would smoke

So, the percent of the people who smoke have high high blood pressure is

= 50% × 0.75

= 37.50%

Answer:

they form a single straight line:)

Answer:

a line

Step-by-step explanation:

Here is ray AB  

     A                         B

     +----------------------+------------------->

It starts at point A, goes through point B, and goes only in one direction, to the right. Points A and B lie on line AB.

Now I'll add an opposite ray whose endpoint is also point A.

             C                A                         B

<-----------+--------------+----------------------+------------------->

Ray AC also lies on the same line as ray AB, but starting at point A, it goes in the opposite direction of ray AB. When you add ray AC to its opposite ray AB, you get the entire line AB.

Answer: a line

Answer:

Step-by-step explanation:

To find the expected no of broken cabinets for each strategy.

If A transport all the furniture

Suppose X₁ = number of furniture A broken

X₁ follows a binomial with n = 3, p = 0.10

E(X₁) = np

E(X₁) = 3 × 0.1

E(X₁) = 0.3

If A transport two (2) cabinets & B transport one (1) cabinet

expected no. of the broken cabinet by A out of 2 is

= 2 × 0.1

= 0.2

Suppose X₂ denotes the no of broken furniture by B

E(X₂) = np

where n= 1 and p = 0.15

E(X₂) = np

E(X₂) = 1 × 0.15

E(X₂) = 0.15

Thus. the expected number of broken cabinets = 0.2 + 0.15 = 0.35

Answer:

..................

Step-by-step explanation:

................................

Answer:

28.26

Step-by-step explanation:

A = r^2

So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)

A = 3.14(3)^2

A = 3.14(9)

A = 28.26

Answer:

B: $18.40

Step-by-step explanation:

100% is equal to $16 so 5% would be 16/20 or $0.80 then to get 15% you would multiply $0.80 by 3 which is $2.40. This is the tip. Then do $16 + $2.40 and the total + tip is $18.40. (Double check to make sure I'm correct)

Answer:

I dont know

Step-by-step explanation:

I don’t know

Answer:

The width of the rectangular prism is 9 cm.

Step-by-step explanation:

From the formula of the volume of a bar [tex]V=whl[/tex] we see that [tex]w=\frac{V}{hl}=\frac{720}{8\cdot 10} = 9[/tex] cm.

Answer:

what is the surface area of this shape? 328 yd

Step-by-step explanation:

Surface area = 2 × (11×8 + 11×4 + 8×4)

Surface area = 2 × (88 + 44 + 32)

Surface area = 2 × 164

Surface area = 328 yd

Answer:

Step-by-step explanation:

x - 2y =8

   -2y = -x + 8

      [tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]

When x = 4,

     [tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]

(4, - 2)

When x = -4,

    [tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]

(-4, -6)

Plot the points (4, -2) and (-4 , -6) in the graph and Join the points

Answer:

the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24

Answer:

[tex]f(a) = 5a + 1[/tex]

[tex]f(a + h) = 5a + 5h +1[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x + 1[/tex]

Solving (a): f(a)

Substitute a for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a) = 5a + 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a + h) = 5(a + h) +1[/tex]

Open bracket

[tex]f(a + h) = 5a + 5h +1[/tex]

Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]

In (a):

[tex]f(a) = 5a + 1[/tex]

In (b):

[tex]f(a + h) = 5a + 5h +1[/tex]

So:

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]

Open bracket

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]

Collect Like Terms

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]