Unit 7: Polygons & Quadrilaterals Homework 4: Rhombi and Squares

please help!!!

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

Answer:

137

Step-by-step explanation:

(3 + 5 + 15 + x)/4 = 40

23 + x = 160

x = 137

Answer:

6.4 cm

Step-by-step explanation:

Area of triangle = 17.28 cm²

[tex]\frac{1}{2}*base *altitude = 17.28\\\\\frac{1}{2}*base*5.4=17.28\\\\base = 17.28*\frac{2}{5.4}\\\\base= 3.2*2\\\\base = 6.4 cm[/tex]

Answer:

[tex]\Huge\boxed{x<-\frac{1}{4}}[/tex]

Step-by-step explanation:

Hello there!

The first thing we want to do is find the least common denominator which would be 20

so we multiply the denominator and numerator of the fractions on the left side by 4

3x4=12

5x4=20  -12/20x

1x4=4

5x4=20 so now we would have

[tex]-\frac{12}{20}x+\frac{4}{20} >\frac{7}{20}[/tex]

once again we want to isolate the variable using inverse operations

to get rid of the 4/20 we subtract each side by 4/20

[tex]\frac{7}{20} -\frac{4}{20} =\frac{3}{20}[/tex]

now we have

[tex]-\frac{12}{20} x>\frac{3}{10}[/tex]

now we want to get rid of the -12/20

to do so we divide each side by -12/20 (or -.6 as a decimal to make it easier)

[tex]\frac{3/20}{-.25}=-\frac{1}{4}[/tex]

REMEMBER flip the equality sign

we're left with

[tex]x<-\frac{1}{4}[/tex]

Answer:

Give me Point plssss anwer you

Answer:

2435 units

Step-by-step explanation:

Answer:

B) 3/8  cup

Step-by-step explanation:

Answer:

684 I think ?!

Step-by-step explanation:

Answer: 114 adult tickets were sold.

Step-by-step explanation:

Let student tickets be represented as 2t (since twice the amount of student tickets were sold)

and let t represent the amount of adult tickets.

Solve for t (number of tickets)

342= 2t + t. Combine like terms.

342= 3t. Divide both sides by 3.

114=t

114 adult tickets were sold.

Substitute 114 for t to find student tickets.

2(114)= 228 student tickets were sold.

Answer:

12x² - 9x

Step-by-step explanation:

Simplify the expression. Distribute 3x to all terms within the parenthesis. Multiply:

3x * 4x = 12x²

3x * -3 = -9x

12x² - 9x is your answer.

~

Answer:

c) j=2 and h=4

Step-by-step explanation:

h+h+j+4+j+4=20

3h+3h+j+1+j+1=30

2h+2j+8=20

6h+2j+2=30

multiply the first equation by -3

-6h-6j-24=-60  

this equals

-6h-6j=-36

6h+2j=28

-4j=-8

j=2

Since j=2

2h+2(2)+8=20

2h+12=20

2h=8

h=4

Answer: The answer is 340.8 cm2

Answer:

x < -3

Step-by-step explanation:

Switch sides

-5x > 15

Multiply both sides by: -1 (reverse the inequality)

(-5x)(-1) < 15 (-1)

Simplify

5x < -15

Divide both sides by 5

5x/5 < -15/5

Simplify: 5x/5

Divide the numbers: 5/5 = 1

= x

Simplify: -15/5

Apply the fraction rule: -a/b = a/b

= -15/5

Divide the numbers: 15/5 = 3

= -3

x < -3

Hope This Helps!

Answer:

7/10 bags left but 7 weeks left

Step-by-step explanation:

because if you convert 4/5 to 10ts it would be 8/10

so you would have to subtract i am guessing 8/10-1/10 and get 7/10ths

and sicince she gives her dog 1/10 a week then she would have 7 weeks left  

Answer:

0.86

Step-by-step explanation:

4x5 = 20 (the base of the pitcher)

20 x 10(the height) = 200 square inches

231 (The number of cubic inches in a gallon) / 200 (the size of the pitcher) = 0.82 gallons

Answer:D

Step-by-step explanation:

you divide 128 by 2 and then take away the x's and y's

Answer:

2/7

Step-by-step explanation:

Answer:

π/6 and 5π/6

Step-by-step explanation:

Graphing the equation or using a unit circle, we can find these values out pretty easily

Answer:

(-4, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

Step 5: Solve for x

I think it the square root of 69 which could also be 420 i just need the points

9514 1404 393

Answer:

  6/(2+k)

Step-by-step explanation:

The change of base formula is ...

  [tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]

Using this, we can take the logarithm base 2 in the change of base formula for the given expression.

  [tex]\log_{20}(64)=\dfrac{\log_2(64)}{\log_2(20)}=\dfrac{\log_2(2^6)}{\log_2(2^2\cdot5)}\\\\=\dfrac{6}{\log_2(2^2)+\log_2(5)}=\boxed{\dfrac{6}{2+k}}[/tex]

__

In addition to the change of base formula, the usual rules of logarithms apply.

  [tex]a^b=m\ \longleftrightarrow \ \log_a(m)=b\\\log(ab)=\log(a)+\log(b)[/tex]

360 / 5 = 72

Sorry the first answer was wrong

Answer:

7

Step-by-step explanation:

If what you meant by 7/2 was the slope of the line then we can plug in the two points into the slope formula to get our line:

14-x/x-5 = 7/2

This means that 14 - x = 7 and x - 5 = 2. We can see that 14 -7 = 7 and 7 - 5 = 2,

meaning that the value of x should be 7.

Answer:

What u have done is correct its E. ABC, FFE and PQR.

Hope this helps

Hope this helps ALL THE BEST!!

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS criterion.

Option D is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

So,

The ΔABC, ΔFGE, and ΔPQR are congruent since there is a congruent angle between the corresponding equal sides in all three triangles.

Thus,

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

#SPJ7

Answer:

x+2_3x_x=2^2

2_3x=4

3x=4+2

x=6÷3

×=2 is ans

Answer:

2/13

Step-by-step explanation:

Since there's 4 of each card in the deck this means that there're 4 sixes and 4 aces, so 8 cards in a 52 card deck gives the problem 8/52 which equals 2/13

Answer:

Step-by-step explanation:

a+b-4c-a-4b-c=1-12, -3b-5c=-11

a+4b+c-a+3b+2c=12+5, 7b+3c=17

3(-3b-5c)+5(7b+3c)=3(-11)+5(17)

-9b-15c+35b+15c=-33+85

26b=52

b=2, making 7b+3c=17 become

14+3c=17

3c=3

c=1, making a+b-4c=1 become

a+2-4(1)=1

a-2=1

a=3

(a,b,c)=(3,2,1)

Answer/Step-by-step explanation:

1. Humans are the cause of climate change so us humans would be the major factor of it causing us to be the ones to stop it or slow it down.

2. To stop polluting, recycle, take care of our environment, etc.

Hope this helps :)