What is the sum of the measures of angles 2 and 3? Explain your answer.

The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:

60cm2=12(d1⋅d2)

where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.

The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by

(152 ) 2 + (82)2 = s 2

or s = 172cm.

The perimeter is therefore 4 X 172 = 34 cm.

Answer:

y = -1/2x - 3

Step-by-step explanation:

Answer:

I think C

Step-by-step explanation:

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

Recall :

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

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Answer:

No it cant

Step-by-step explanation:

(3,-1) is not a possible solution for the equation y > 2x-3

The points that touch the x and y intercept are (1.5,0) and (0,-3)

Answer:

Approximately $4946

Step-by-step explanation:

The compound interest can be determined by:

Compound interest = P [tex](1 + r)^{T}[/tex]

Where: P is the principal, r is the rate and T is the number of years.

Given that: P = $1000, r = 4% and T = 34 years, then;

Compound interest = 1000 [tex](1 + \frac{4}{100}) ^{34}[/tex]

                                = 1000 [tex](1 + 0.04)^{34}[/tex]

                                = 1000 [tex](1.04)^{34}[/tex]

                                = 1000 x 3.79431

                                = 3794.31

Compound interest ≅ $3794

The amount that would be in the account = Principal + interest

                                            = $1000 + $3794

                                            ≅ $4794

Answer:

area of rectangle =length multiplyed by breath

4x multiplied by x=26.8

4x²=26.8

x²=26.8 divided by 4

x²=6.7

x=2.59

Answer:

(x , y) = (28/5 , 8/5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x , y) = ( 28/5 , 8/5 )

Answer:

a. 6 1/2

Step-by-step explanation:

If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5

6.5 as a fraction is 6 1/2. So, the answer is a.

Have an amazing day!! Good luck on your test C:

The equivalent function of g(f(x)) for the given function  is 2x³ - 3.

Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We have been given that

f(x) = x3 – 1

g(x) = 2x - 1

and find out g(f(x)) =?

The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.

g(f(x)) = 2(f(x))- 1

Put the value of f(x) in the equation

g(f(x)) = 2( x³ - 1) -1

g(f(x)) = 2 x³ - 2 -1

g(f(x)) = 2 x³ - 3

Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).

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Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

Answer:

(5x+4)=114(vertically opposite angle)

5x=114-4

x=110/5

x=22

(3x-24)+(2y)+144=180(sum of straight line angle)

(3X22-24)+(2y)=180-144

(66-24)+2y=36

42+2y=36

2y=36-42

y=(-6)/2

y=-3

Answer:

Step-by-step explanation:

2x - 3x + 20 + 5x - 40 = 4       combine like terms

(2x - 3x + 5x) + (20 - 40) = 4

4x - 20 = 4      add 20 to both sides

4x = 24     divide both sides by 4

x = 6

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

Answer:  0

Step-by-step explanation:

Answer:

you could ask a friend or someone you are close to, to proof read it. You could also but it through Grammarly to find all errors that someone could just overlook.

Answer: 8 inches

Step-by-step explanation:

A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.

We then equate the side to the perimeter. This will be:

a + a+2 + a+4 + a+6 = 20

4a + 12 = 20

4a = 20 - 12

4a = 8

a = 8/4

a = 2 inches

The length of the longest side will be:

= a + 6

= 2 + 6

= 8 inches

Richard = R & Teo = T

Richard & Teo are combined 41 it means R + T = 41

R = 8 + 2T

R + T = 41 #1

R = 8 + 2T #2

replace 2 in 1

8 + 2T + T = 41

8 + 3T = 41

3T = 41 -8 = 33

T = 11

R = 8 + 2*11 = 30

result = richard is 30 & teo is 11 years old.

2 times of Teo is 22

and 8 years older it means + 8

= 30

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

Answer:

the correct answer would be -2f+7

Answer:

1-x-2+2x = 10x-25-x

Step-by-step explanation:

The given equation is as follows :

1-(x+2)+2x=5(2x-5)-x

We need to solve the above equation.

Firstly opening bracket off LHS and applying distributive property at RHS.

1-x-2+2x=5(2x)-5(5)-x    (Distributive property :a(b+c) = ab+ac)

1-x-2+2x = 10x-25-x

So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.

Answer:

It's b

Step-by-step explanation:

I got it right on edge

Answer:

Q1) D

Q2) A

Q3) A

Q4) I'm sorry I can't figure this one out

Q5)2.7

Step-by-step explanation:

Answer:

x = 53°

Step-by-step explanation:

alternate exterior angles are equal

Answer:

Step-by-step explanation:

Two lines are parallel.

x = 53  

Alternate exterior angles are equal

Answer:

X = Negative 2 (-2)

Answer:

d

Step-by-step explanation:

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Answer:

His error is adding 10 and 2/3 before multiplying by A...