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

help me!

A


B


C

D


E


F

Answers

Answer: g

Step-by-step explanation:

What is the value of the expression below?

|3| + |-3| + |-1|

Answers

Answer:

7

Step-by-step explanation:

After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7

solve pls brainliest

Answers

The first box is 3 and the last 2 are 4/9

Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.

Answers

Answer:

[tex]2(w-7) < 30[/tex]

Step-by-step explanation:

Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30

Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]

Answer:

2w+14<(with the line under the <)30

Step-by-step explanation:

The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x

Answers

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17

Answers

you take each other you do multiplication and you have answer

I need this really quick!!

Answers

Answer:

400 ft

Step-by-step explanation:

H = 160t - 16t^2 = 16t(10 - t)

The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).

Let's solve for H = 0

16t(10-t) = 0

t = 0 or 10 - t = 0

t1 = 0, t2 = 10

the maximum is at (t1+t2)/2 = 5

H(5) = 16*5(10-5) = 80*5 = 400

14. Write an equation for the line in slope-intercept form.​

Answers

Answer:

y equals -2x plus 8

Step-by-step explanation:

1 + tan^2 (π/6) = _______.


A. csc^2 (π/6)

B. sec^2 (π/6)

C. cot^2 (π/6)

D. 1 - tan^2 (π/6)

Answers

Answer: B??

Step-by-step explanation:

Correc me if i wrong ovo

does anyone know this i need it fast

Answers

-9 should be the answer

a
What is the equation of the line that passes through the point (3, 2) and has a slope
of 2/3?

Answers

Answer:

y=2/3x

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we are already given the slope, we can substitute it into the equation as m

y=2/3x+b

Now we need to find b

Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b

Substitute 3 as x and 2 as y into the equation:

2=2/3(3)+b

Multiply

2=2+b

Subtract 2 from both sides

0=b

Substitute 0 as b into the equation

y=2/3x+0

Simplify:

y=2/3x

Hope this helps!

16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?

Answers

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

5 (m - 3) = 40
What do 5m and m represent?

(Quick Question I NEED REAL QUICK!)
(Thanks)

Answers

Solution:

[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]

Therefore, m = 11

5m = 5 × 11 = 55

Answers

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

5m-15=40

Then, add 15 to both sides

5m=55

Next, divide both sides by 5

m=11

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?

Answers

Answer:

38.64

Step-by-step explanation:

If 3 = 12.88

Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44

so 25.76+6.44+6.44=38.64

Therefore it would be 38.64.

I'm not sure but base on the math above I think the answer is 38.64

Which list shows all the factors of 72?
A. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
B. 1, 2, 3, 4, 6, 9, 12, 18, 24, 36, 72
C. 1, 2, 3, 4, 5, 6, 8, 9, 12, 18, 24, 36, 72
D. 1, 2, 3, 4, 6, 7, 8, 9, 12, 18, 24, 36, 72

PLS HELPP :)

Answers

It’s A since B does not have 8 and the others have 5, 7 etc. which are not factors of 72

2. Three vertices of a parallelogram are
given as coordinates (-4, 2), (-2, 4), and
(1, -3) in the graph. Which coordinates
best represent the location of the fourth
vertex of the parallelogram?
o
F. (3, 1)
G. (3, -1)
H. (1, -3)
1. (-1,3
HELPP MEEE PLSSS

Answers

Answer:

I think g would be correct

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.

Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x

How many classes would Gina need to take for the total cost to be the same at both dance studios?

10
15
100
150

Answers

Answer:

The correct answer is A: 10

Step-by-step explanation:

Same Question : https://brainly.com/question/17110602

(pls help quick and explain how you got the answers for brainliest)

Answers

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

favorite food of 100 kapampangan sinigang 27​

Answers

???? what is this asking?

I have no clue how to do any of this please help

Answers

Answer:

help with what there nothing there?

what do u need help with?

( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee

Answers

[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]

witch points has have a distance of 3 units from point S

Answers

The answer is 3-2 +7 =9

Need help on this! Please help

Answers

Answer:

PDR= 127

Step-by-step explanation:

Does someone have this answer???? Thank you so much

Answers

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

Sorry, ignore the other question I had on here, that was a typo. How do you find the positive/negative intervals of f(x) = 3/(x + 5) ? Please show in full detail!!

Answers

Answer:

Positive interval: x is in (-5, infty)

Negative interval: x is in (-infty, -5)

Step-by-step explanation:

A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.

Positive interval: x is in (-5, infty)

A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.

Negative interval: x is in (-infty, -5)

A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.

I NEED HELP!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

123

Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7

Answers

Answer:

Step-by-step explanation:

2x + y = 6

y = -2x + 6

Comparing this with y = 1/2x - 7

Multiplying the 2 slopes:

-2 * 1/2

= -2/2

= -1

- this means that the 2 lines are perpendicular.

Tangela bought 12 cans of sodas for $5.40

Answers

Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

AYUDAAA PORFAVOOOOOOR!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

Someone please help me. I will give Brainliest. No links, please.

Answers

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

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