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1. x = 13, y = 11.5

2. x = 39, y = 123

Step-By-Step Explanation: For the first diagram, you can see that 10x - 42 = 6x + 10 by way of vertical angles. Vertical angles are two opposite angles created by the same two lines, meaning that they will ALWAYS be congruent. Solving for x, you get that 4x = 52, or that x = 13. There is another thing. Both of the diagrams have a total angle measurement of 360, since they both go all the way around. Knowing that, 6x + 10 + 8y must be equal to half of that, or 180. Solving for 88 + 8y = 180 (since you know the value of x), you know that 8y = 92, or x = 11.5.

For number two, the concept is very similar, but this time there's more angles. You can immediately see that there are 3 pairs of vertical angles. The value of the angle squishes between the x - 10 and the 3x + 6 is x - 11; again, vertical angles. The angle squished between 3x + 6 and x - 11 is x - 10 (vertical angles!). Last, you know that 3 x + 6 = y, since they are vertical angles. Combining 2(x-11) and 2(x-10) and 2(3x+6) [remember, y = 3x + 6!!], you get that 10 x = 390, and x = 39. Plug that in for the value of y, which is 3x + 6, giving you 123 degrees.

Answer:

50, 445

Step-by-step explanation:

Answer:

x = z

x + y = 180

Step-by-step explanation:

Answer:

a. observational study

Step-by-step explanation:

An observational study is one in which the researcher seeks to discover the effect of a disease or treatment without interference on those who are affected or not affected by it. Observational studies could be of two types namely; the case-control, and the cohort study. The research given above is a cohort study because it compares a group of people born in the same time period and checks for the presence of a disease that could be linked to the vaccinations administered at birth.

A case-control study compares those affected by the disease to those not affected by it. An experimental study assigns the participants to groups and there is a control or placebo group. After this, the results from the groups are compared.  

Answer:

12

Step-by-step explanation:

You can break it down like this, 2 x a x 2 or 2 x 3 x 2

2x3=6 6x2=12

Answer: 12

Step-by-step explanation:

12

Answer:

8

Step-by-step explanation:

Answer:

27/7 or 3 6/7

Step-by-step explanation:

18/7 ÷ 6/9

~Copy dot flip

18/7 × 9/6

~Multiply both numerators and denominators

162/42

~Simplify

27/7 or 3 6/7

Best of Luck!

Answer:

[tex] y = 4x + 32 [/tex].

Step-by-step explanation:

Here's a solution to the problem.

Given:

Point = (-5, 12)

Slope (m) = 4

Required:

Equation of the line

SOLUTION:

Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].

We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.

Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.

[tex] 12 = 4(-5) + b [/tex]

[tex] 12 = -20 + b [/tex]

Add 20 to both sides

[tex] 12 + 20 = b [/tex]

[tex] 32 = b [/tex]

[tex] b = 32 [/tex]

Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].

[tex] y = 4x + 32 [/tex].

The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].

Obviously, your calculations are wrong. The above is the right way to solve the problem given.

Answer:

The total profits will be zero at sales prices of $4 and $9

Step-by-step explanation:

∵ The function is y = -3x² + 39x - 108, where

The zeroes of the function are the values of x at y = 0

→ To find the zeroes of the function above equate y by 0

∵ 0 = -3x² + 39x - 108

→ Switch the two sides

∴ -3x² + 39x - 108 = 0

→ Divide all terms by -3 to simplify the equation

∴ x² - 13x + 36 = 0

→ Let us factor the trinominal into two brackets

∵ The last term is +ve and the middle term is -ve

∴ The two brackets have (-) sign in the middle ⇒ (... - ...)(... - ...)

∵ x² = (x)(x)

∵ 36 = (4)(9)

∵ (4)(x) + (9)(x) = 4x + 9x = 13x ⇒ the value of the middel term

→ That means the factors of the trinomial are (x - 4) and (x - 9)

∴ x² - 13x + 36 = (x - 4)(x - 9)

→ Replace the trinomial by its factors

∴ (x - 4)(x - 9) = 0

→ Equate each bracket by 0 to find x

∵ x - 4 = 0

→ Add 4 to both sides

∴ x = 4

∵ x - 9 = 0

→ Add 4 to both sides

∴ x = 9

∴ The zeroes of the functions are 4 and 9

∵ x represents the sales price in dollars

∴ The sales prices which make zero profit are $4 and $9

∴ The total profits will be zero at sales prices of $4 and $9

Answer:

Inverse Proportionality

Step-by-step explanation:

Given

Constants 50 and 0.02

Required

Determine the relationship

Let y = 0.02

Convert 0.02 to fraction

y = 2/100

Simplify to lowest form

y = 1/50

Recall that y = 0.02

0.02 = 1/50

From the above expression, we can conclude that the relationship between both is inverse.

In other words, 50 and 0.02 are inversely proportional

Answer:

1,8586

Step-by-step explanation:

Answer:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Step-by-step explanation:

We are given that one of the endpoints of the line segment is:

[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]

And that the midpoint of the line segment is (3, -2).

And we want to find the other coordinates in terms of x and y.  

We can consider using the midpoint formula:

[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We are given that the midpoint is (3,-2). Substitute:

[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]

We can solve for each coordinate independently.

x-coordinate:

We have:

[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]

One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:

[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]

Solve for the second x-coordinate x₂:

[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]

Hence, the x-coordinate of the second point is -x + 2.

y-coordinate:

We have:

[tex]\displaystyle -2=\frac{y_1+y_2}{2}[/tex]

We can substitute 1/2y for y₁. This yields:

[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]

Solve for y₂:

[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]

In conclusion, the other coordinate expressed in terms of x and y is:

[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]

Answer:

This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+30=150

its 120 then divide by 3 which is 40

Answer:

47 words per minute

Answer:

4/75

Step-by-step explanation:

The required simplified form of the expression 1/2 x 3/5 x 4/9 is 12/90.

Given that, to determine the simplified form of the expression 1/2 x 3/5 x 4/9.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 1/2 x 3/5 x 4/9
Simplifying,
= [1×3×4] / [2×5×9]

= [12]/[90]
= 12 / 90

Thus, the required simplified form of the expression 1/2 x 3/5 x 4/9 is 12/90.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

Option 4: Triangle DBC is congruent to triangle RQP

Answer:

6

Step-by-step explanation:

Step 1:

6x + 3 = 7x - 3     Equation

Step 2:

3 = x - 3    Subtract 6x on both sides

Step 3:

x = 3 + 3    Add

Answer:

x = 6

Hope This Helps :)

Answer:

Step-by-step explanation:

adding both,

x-y=6 ------------------(1)

x+y=10 -------------------------(2)

Cutting y, we get

2x=16

∴x=8

Eq. in (2)

y=10-8

 =2

Pls mark me brainliest

Answer:465000

Step-by-step explanation:

Answer:

First bag's unit price=$1.92 per kg  Second bag's unit price=$1.87 per kg

The second bag is the better deal

Step-by-step explanation:

Divide the price by the weight to get the unit price per kg

The lowest number is the better buy

Answer: First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. And there ya have it mate.

Answer:

the answer is G I believe

Answer:

-11

3

5

-24

Step-by-step explanation:

Answer:

1.-11

2.3

3.5

4.-24

Step-by-step explanation:

Hope this helps! :)

Answer:

gg

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15

Answer:

The answer to this is: 24

Step-by-step explanation:

EF = JK

FG = KL

LJ = GE

Here you go.

Answer:

D   Social Security tax: $6,621.60, Medicare tax: $3,413.70

Step-by-step explanation:

Following are the calculation to the Social Security and Medicare tax value:

         [tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]

     [tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]

Therefore, the final answer is "$13,243.20 and $3,097.20".

Learn more:

brainly.com/question/1899088

12:45Answer:

Part A: 9 hours 45 minutes

Part B: $126.1575

Step-by-step explanation:

Part A,

From 7:45 to 12:15 is 4 hours and 30 minutes

From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.

4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.

Part B, 9 hours and 45 minutes can be represented as 9.45

And since he gets 15.35 "per" hour shows we can multiply.

15.35 x 9.45 = 126.1575

Therefor he earned 126.15.

Answer:

its day time rn

Step-by-step explanation:

step by step explanation