24)
Evaluate:

(-4) - (-16) + (-10) - (-1) - (14) + (11)

Answer:

Step-by-step explanation:

The matched statement to its corresponding reason for the given alternate interior angles as:

Given: Let points A, B, and C form a triangle.

definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Congruent angles: m∠1=m∠4, m∠3 = m∠5

Linear pair theorem: m∠4+m∠2+m∠5 = 180°

As per the shown figure,

Given:

Let points A, B, and C form a triangle.

Defining a parallel line and labeling angles:

Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Alternate Interior Angles Theorem:

∠1=∠4

∠3 = ∠5

Congruent angles have equal measures:

m∠1=m∠4

m∠3 = m∠5

Definition of a straight angle and angle addition:

m∠4+m∠2+m∠5 = 180°

Substitution:

m∠1 + m∠2 +m ∠3 = 180°

Learn more about Alternate exterior Angles here:

https://brainly.com/question/23134598

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Answer:

1, 2, or 3

Step-by-step explanation:

if it's third degree then there must me 1 to 3 roots

hope you find this helpful :)

Answer: 0 or 2

Step-by-step explanation:

took test on edge2020

Answer:

13 cars per day

Step-by-step explanation:

64 - 51 = 13 cars per day

hope it helps

Answer:

2

Step-by-step explanation:

9m + 25m + 22 = 90

34m = 90 - 22

34m = 68

m = 68 / 34

m = 2

Answer:

m = 2

Step-by-step explanation:

GLI forms a 90 degree angle

Set your formula up as

90 = 9m + 25m + 22

90 - 22 = 34m

68 = 34m

68/34 = m

2 = m

Answer:

a 270° rotation about point B'

Answer:

C is correct 270°

Step-by-step explanation:

yuh

Answer:

B. g(x)=x²-3 b is my answer

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

t __1 2 3 4 5

yt_ 6 10 8 13 15

Using technology to produce a linear model :

The linear model obtained shows a positive linear pattern exist for the time series data :

The parameters for the line that minimizes MSE for the then series is :

y = 2.1t + 4.1

Where, slope = 2.1 ; intercept = 4.1

The mean squared error :

Sum of squared estimate of error = 9.1

Mean squared error = √9.1

Mean squared error = 3.02

Forecast for t = 6

y = 2.1t + 4.1

y = 2.1*6 + 4.1

y = 12.6 + 4.1

y = 16.7

Answer:

3, 6, 12, 15

Step-by-step explanation:

3/12= 4

3/9= 3

Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

Answer:

-11/2 = x

Step-by-step explanation:

5-2(3-x)=4x+10

Distribute

5 - 6 +2x = 4x+10

Combine like terms

-1 +2x = 4x+10

Subtract 2x from each side

-1 +2x-2x= 4x-2x+10

-1 = 2x+10

Subtract 10 from each side

-1-10 = 2x+10-10

-11 = 2x

Divide by 2

-11/2 = 2x/2

-11/2 = x

Answer:

See below

Step-by-step explanation:

5 - 2 * (3 - x) = 4x + 10

5 - 6 + 2x = 4x + 10

-2x = 11

x = -5.5

Answer:

a.

x²+3x-4

doing middle term factorization

x²+(4-1)x-4

x²+4x-x-4

x(x+4)-1(x+4)

( x+4)(x-1)

b.

x²-2x-3

x²-3x-x-3

x(x-3)-1(x-3)

(x-3)(x-1)

c.

x²+2x-8

x²+4x-2x-8

x(x+4)-2(x+4)

(x+4)(x-2)

I’m just gonna guess but I think 6

=======================================================

Explanation:

The rule [tex](x,y) \to (x+4, y-5)[/tex] means we add 4 to the x coordinate and subtract 5 from the y coordinate.

The point (3,5) becomes (3+4, 5-5) = (7,0)

This shifts the point 4 units to the right and 5 units down.

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

Answer:

x=20

Step-by-step explanation:

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

Answer:

20

Step-by-step explanation:

In a parallelogram diagonals bisect each other.

[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]

Answer:

A = 30 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 12 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 5 = 6 × 5 = 30 units²

Answer:

58+-43=15

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100

123 = x+ 23

-23 + 123 = x

100 = x

x = 100

sorry, i'm really bad at explaining

180 degree angles when added

180-57 (for known angle)= 123

x+23=123<- we need to take off the all known angles to get x

123-123=100

x=100 is the answer

Answer:

The answer is B!!!!!!!!!!!!

Answer:

x=-3

Step-by-step explanation:

because f(x) is "y" now because y is 6 if you look properly where the coordinate of y is 6 x is -3

Answer:

a^2+b^2=c^2

6^2+6^2=72

square root of 72

=8.49(3sf)

c^2-b^2=a^2

=3

x=3

answer : 3

step by step:

this may seem hard but it is easy.

the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:

name the hypotenuse  x

then write the equation

x^2= 6^2 + 6^2

x^2= 72

take both the square root of them

x = 8.5

next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x

first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:

x^2 = 9^2 - 8.5^2

x^2 = 8.75

take square root of both

x = 3

Solution :

Transforming given equations :

[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .

Hence, this is the required solution.

Answer: (i), 12%

Step-by-step explanation:

Given

The Population of four towns is given

(i) [tex]P=600(1.12)^t[/tex] i.e.

[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]

rate=12%

(ii) [tex]P=1000(1.03)^t[/tex]

[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]

rate=3%

(iii) [tex]P=200(1.08)^t[/tex]

[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]

rate=8%

(iv) [tex]P=900(0.90)^t[/tex]

[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]

rate=10% fall

So, the largest growth rate is for town (i)  i.e. 12%

Answer:

Step-by-step explanation:

Answer:

option c is the answer for pic

and for question the answer is

(-274)*(437)

-119738

Answer:

the first one

Step-by-step explanation:

Answer: 3-7x

Step-by-step explanation: x represents the "a number" portion since it is a variable

Answer:

A

Step-by-step explanation:

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