Gina Wilson all things algebra unit 4 homework 3 questions 12-15

Gina Wilson All Things Algebra Unit 4 Homework 3 Questions 12-15

Answers

Answer 1

Step-by-step explanation:

the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.

therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.

from there we get really all 4 answers.

the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.

12.

3x + 18 + 7x - 58 + 2x - 8 = 180

12x - 48 = 180

12x = 228

x = 19

angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees

angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees

angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees

13.

8x - 17 + 19x + 4 + 5x + 1 = 180

32x - 12 = 180

32x = 192

x = 6

angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees

angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees

angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees

14.

KL = 9x - 14

LM = 7x - 37

KM = 3x + 23

angle K = angle L

so, the sides LM and KM must be equally long. that gives us

7x - 37 = 3x + 23

4x = 60

x = 15

KL = 9x-14 = 9×15 - 14 = 135-14 = 121

LM = 7x-37 = 7×15 - 37 = 105-37 = 68

KM = 3x+23 = 3×15 + 23 = 45+23 = 68

15.

XY = 13x - 21

YZ = 8x - 6

XZ = x + 4

angle X = angle Z

so, the sides XY and ZY (or YZ) must be equally long. that gives us

13x - 21 = 8x - 6

5x = 15

x = 3

XY = 13x-21 = 13×3 - 21 = 39-21 = 18

YZ = 8x-6 = 8×3 - 6 = 24-6 = 18

XZ = x + 4 = 3+4 = 7


Related Questions

what is half of 56 ft or 56 mm

Answers

Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.

Half of 56 ft

= ½ × 56

= 56/2

= 28 ft

Half of 56 mm

= ½ × 56

= 56/2

= 28 mm

_______

Hope it helps ⚜:))

Answer:
28 ft and 28 mm

Step by step explanation:
Half of 56 ft: 56 ÷ 2 = 28 ft
Half of 56 mm: 56 ÷ 2 = 28 mm

Anyone can help me please angone

Answers

Answer:

x is 154 degrees

Step-by-step explanation:

If a line cuts through a set of parallel lines, it is called a transversal.

x and the angle next to 26 degree angle would be corresponding angles.

If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees

x+26 = 180

x = 180-26

x = 154

The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.

Answers

Answer:

The other leg is √65 cm

Step-by-step explanation:

Hi there!

We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm

We want to find the measure of the other leg

In right triangles, we can use the  theorem to find the value of a side, if we know the lengths of the other two sides

The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse

If we say a is 4 and c is 9, then the equation will look like this:

(4)²+b²=(9)²

Raise each number to the second power

16 + b²= 81

Subtract 16 from both sides

b²=65

Take the square root of 65

b=√65, -√65

-√65 is not an applicable root for this problem, since distance cannot be negative

Hence, our answer is √65 cm

Hope this helps!

Gina places biscuits in a circular pan in the fashion shown below. What is the area of the pan not covered by a

biscuit if the diameter of each biscuit is 2 cm? Use 3.14 for pi.

A. 6.28 cm2

B. 113.04 cm2

C. 3.14 cm2

D. 21.98 cm2

E. 28.26 cm2

Answers

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:


4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2

Answers

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

How much do you need to subtract from 53 over 6 to make 8

Answers

48 over 6 is equal to 8 so subtract 5 from 53

Answer:

Step-by-step explanation:

Think about how this question is written out mathematically.

5/36−x=8

You’re looking for x.

When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.

53/6−8=x

In simple fraction form 8=8/1

But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1

In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.

Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6

Now that we have common denominators, we can subtract.

53/6 - 48/6

= 5/6

To check:

53/6 - 5/6 = 48/6

48/6 = 8

HELP PLS ASAPPPPP AHH

Answers

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Need to minus the number but first try and find a other number to minus it

dose anyone know how to solv ethis??

Answers

no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Instantaneous velocity of particle at 2 minutes is ~

[tex]1 \: \: m/s[/tex]

Refer to the attachment for solution ~

a box is shaped like a cube.the box a length of 1 foot, a width of 1 foot and a height of 1 foot. what is the volume of the box

Answers

Answer:

1 ft^3

Step-by-step explanation:

Answer:

1 ft^3

Step-by-step explanation:

Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.

A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.

Answers

Answer:

1%

Step-by-step explanation:

0.4X2.5=1

I don’t understand can someone tell me the answer

Answers

Answer:

12>x>10

Step-by-step explanation:

-25<-3x+5

-3x+5<-31

You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?​

Answers

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

4 in x 4 in = 16 in^2

uh so im kind of in a hurry rn and need these 3 done, my brain isnt functioning and ive forgotten how to do this, an explanation would be fine but its not needed, 70 points to the person that can solve these!

Answers

Answer:

1: 25 3: 15.5

Step-by-step explanation:

1: divided 16 into 80, then multiplied 5 by 5.

3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.

Looking for help pleaseeee

Answers

Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

What is a quartic function with only two real zeros of x=0 and x=2?

Answers

Answer:

x² - 2x = 0

Step-by-step explanation:

a = 0 ; b = 2

x² - (a +b)x + ab = 0

x² - (0 +2 )x + 0*2 = 0

x² - 2x = 0


Can somebody please help me and tell me how did you get the answer please thank you!!!

Answers

Answer:

10

Step-by-step explanation:

(6x-5)+(12x+5)=180

18x=180

x=10

I need help :) pls help me:)

Answers

Answer:

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

Step-by-step explanation:

not the answer for that but ig this can help u mwa

Answer:

12.15-13.00 is 15 mins

13.00-13.30 is 30 mins

Answer-45 mins

question:To make a certain shade of paint, Anya mixed 2/3 cups of white paint with 2 2/3 cups of blue paint
How many cups of blue paint should she mix with 3 cups of white paint to make the same shade?

Answers

Step-by-step explanation:

2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.

so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.

therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).

so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.

American society is made up of people of the same cultural background.



Please select the best answer from the choices provided


T

F

Answers

Answer:

false

Step-by-step explanation:


2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?

Answers

Answer:

15

Step-by-step explanation:

Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.

Hope it helped!

There are 15 more female teachers than the male teachers.

What is equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,

Let there be 6x female and 4x male teachers in the school,

Establishing the equation,

6x + 4x = 75

10x = 75

x = 7.5

Number of more females = 6x-4x = 2x = 2(7.5) = 15

Hence, there are 15 more female teachers than the male teachers.

For more reference on equations, click;

https://brainly.com/question/29657983

#SPJ2

Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?

Answers

Answer:

it would be y=|x+6|

HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

HI!!!

Step-by-step explanation:

How to write in Simplified slope intercept form

Answers

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

Write numbers in the number grid to make it correct. 4 9 35​

Answers

The top one is 6
Middle left is 10
Middle right is 15

2 questions for more a lot of points

Answers

Answer:

3 or 4

Step-by-step explanation:

Which graph is not a function ? Why isn’t it ?

Answers

Answer:

Graph 2

Step-by-step explanation:

Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.

The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.

Answers

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

What is temperature?

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

https://brainly.com/question/11464844

what is the equation of the blue line? (see photo)

Answers

Answer:

y= -x-1

Step-by-step explanation:

(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)

y=mx+b

m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1

Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.

y=mx+b

0=(-1)(-1)+b

0=1+b

0-1=1-1+b

b=-1

Then substitute b and m to get the equation.

y=(-1)x+(-1)

y= -x-1

125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Answers

Answer:

8.3(3333333333333333)

Step-by-step explanation:

Can someone help me with this question will mark brainliest.

Answers

Answer:

A:use SAS to show triangle PRQ is congruent to triangle SR.P

Other Questions
The partial pressure of CO2 gas in a bottle of carbonated water is 4.60 atm at 25 C. How much CO2 gas (in g) will be released from 1.1 L of the carbonated water when the partial pressure of CO2 is lowered to 1.28 atm? At 25 C, the Henrys law constant for CO2 dissolved in water is 1.65 x 103 atm, and the density of water is 1.0 g/cm3. what do scholars believe about leadership in catal huyuk how did they come to this conclusion Find the measure of the exterior angle. How is stress the number one factor in academic disruption? The erythrocytes main function is which of the following?Kill invaders/pathogensKeep the oxygen supply flowingClose open wounds by clotting Why did Justinian want to expand the Byzantine Empire? How did his actions effect the future of the empire? in the late nineteenth century, a large proportion of swedish immigrants that came to the united states settled in rural areas of Minnesota. descendants of these communities remain in minnesota today as shown on the map. which of the following best describes the pattern of swedish-american ethnicity within minnesotas cultural landscape?a. a diffused pattern of swedish ethnicity evenly distributed across the stateb. a clustered pattern of swedish ethnicity c. a swedish ethnic majority in the northern half of the stated. a swedish ethnic majority throughout the state e. a single remnant area with a high percentage of swedish ethnicity what is the relationship between DNA Chromosomes and organism? which of the following statements if true of high school dropouts Once you can appreciate pop music as a form of _____________, rather than a guide for life, you can have fun with it while still accepting and appreciating yourself.A. religionB. entertainmentC. rulesD. advice Apartheid is a specific example of what system of social stratification? french words adopted into english to mean commonplace I need help with these please spanish What is the standard form of this expression?(1 + 71i)(3 - i) Biology which statement applies to cholesterol?A. It is hydrophobic and found on the outside of the phospholipid biyalerB. It is hydrophilic and found inside the phospholipid bilayerC. It impacts membrane fluidity.D. It is transported in association with glucose in the blood. which correlational coefficient would represent almost no correlation? - psychology Write a procedure for "how to crack an egg" in cooking. You must have at least 3 steps. The format of your procedure is more important than the actual steps on how to do it. Which of the following is the best statement comparing the water of today with the waterthat was here 100 million years ago? (1 point)A) Water enters and leaves Earth duing evaporation and precipitation cycles.B) The water present on Earth today is made of the same atoms but the moleculeshave been recycled through biologic activity.C)The atoms that made the water then were destroyed when they were used; theatoms that make up water now were made more recently.D)The molecules of water then are the same molecules that exist today. All of the following have been negative effects of globalization except what?A.Great damage to the environmentB.Increased international terrorismC.Higher prices for consumersD.A greater gap between rich and poor countries Which statement is NOT true of money and politics in North America?Select one:O a. The United States accrues national debt by issuing treasury securities to cover the expenses it has that exceed itsincome from taxes and other revenues.O b. Republicans believe that the debt is dangerous and needs to be reduced by cutting government spending.O c. Democrats believe that some government spending, especially health care and education, should be reduced.O d. A major reason for low voter turnout in the United States is the frustration created by the role of money in politics.