Hello can you help me on my 7th grade math worksheet show all work

The value of x for the given triangle is 30°.

According to the question,

We have the following information:

We have a triangle.

Three angles of the triangle are x°, 65° and (x+55)°.

We know that the sum of all the three angles of a triangle is 180°.

So, the sum of these angles will be 180°.

Now, adding three angles:

x° + 65° + (x+55)° = 180°

(2x+120)° = 180°

2x = 180-120

2x = 60

x = 60/2 (2 was in the multiplication on the left hand side. So, it is in the division on the left hand side.)

x = 30°

Hence, the value of x in the angles of the given triangle is 30°.

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The equations that represent proportional relationships are:

A. 2x/12 = 3x/18

C. 4/6 = 10/15

E. 5/5 = 11/11

To determine if an equation represents a proportional relationship, ensure each side of the equation gives the same value when simplified. If they do not have the same value, then the equation does not represent a proportional relationship.

A. 2x/12 = x/6

3x/18 = x/6

Therefore, 2x/12 = 3x/18 represents a proportional relationship.

B. 3/6 = 1/2

6/3 = 2

Therefore, 3/6 = 6/3 does not represent a proportional relationship.

C. 4/6 = 2/3

10/15 = 2/3

Therefore, 4/6 = 10/15 represents a proportional relationship.

D. 4x/18 = 2x/9

x/18 = x/18

Therefore, 4x/18 = x/18 does not represent a proportional relationship.

E. 5/5 = 1

11/11 = 1

Therefore, 5/5 = 11/11 represents a proportional relationship.

F. 8/15 = 8/15

4/30 = 2/15

Therefore, 8/15/2/15 does not represent a proportional relationship.

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Given,

5(2)+15v=00

where v is the number of vans.

Solving,

15v=90

v=6

Thus the correct answer is 6 vans are needed to transport students.

From the figure, angle ACB anf angle BCD are complementary, that is,

∠ACB + ∠BCD = 90°

Replacing with data

61° + ∠BCD = 90°

∠BCD = 90° - 61°

∠BCD = 29°

From the picture, angle BCD and angle FCE are vertical angles, then they are congruent, which means that:

∠FCE = ∠BCD = 29°

Angle FCA is a right angle, that is, ∠FCA = 90°. Therefore:

∠FCE + ∠FCA = ∠ACE

29° + 90° = ∠ACE

119° = ∠ACE

Based on the yards of fabric used by Jan for the quilt squares, the total fabrics used by Jan was 1 ¹ / ₅₆ yards

The yards of fabric used by Jan were 7 / 8 of a yard and 1 / 7 of another yard.

The total yards used by Jan can be found by adding these fractions up. To add both fractions, you first need to find the common denominator of 8 and 7 which is 56.

Then the numerators can be found by dividing 56 by the denominator and then multiplying the numerator by the result.

Fraction 7 / 8 yards:

= 56 / 8 x 7

= 49 / 56

Fraction 1 / 7:

= 56 / 7 x 1

= 8 / 56

The total number of yards used is:
= 49 / 56 + 8 / 56

= 57 / 56

= 1 ¹ / ₅₆ yards

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The line of the equation which passes through the point (0, 4) and is parallel to the x-axis is 2y = 8.

So, the equation is as:

Then, the equation can be:

(Refer to the graph attached below)

If you solve will become:

Therefore, the line of the equation which passes through the point (0, 4) and is parallel to the x-axis is 2y = 8.

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Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column.

Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.

X has a value of 3. The following is a list of the arguments made for each step.

Adding more line segments

Rule of substitution (b)

c) Simplifying by incorporating related terms

d) Compiling terms for lies

e) Multiplying each side by 8

AB = 2x

BC = 6x + 8

AC = 32

AB plus BC equals AC. (Extension rule)

addition of a line's individual segments

2x + 6x + 8 = 32 (Substitution rule) (Substitution rule)

replacing AB, BC, and AC in the formula AB + BC = AC

8x + 8 = 32 (Simplification) (Simplification)

2x + 6x + 8 = 32, simplified adding comparable terms

8x = 24 (Assembling similar terms)

8x = 32 - 8

8x = 24

x = 3 (Divide both sides by 8) (Divide both sides by 8)

8x / 8 = 24/8

x = 3

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The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

------------------

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

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Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

Answer:Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation? segment EG ≅ segment E prime G prime. The slope of segment EF is the same as the slope of segment E prime H prime.

Step-by-step explanation:

The system of quadratic equations obtained on solving general equation of parabola are

a. 5=36a - 6b +c

   -2=64a+8b+c

    3=16a+4b+c

b. 1=289a+17b+c

   -1=81a-9b+c

  2=11025a+105b+c

the equation parabola

the general equation of Parabloa is written as-

y=a[tex]x^{2}[/tex]+bx+c

if the parabola passes through the point. then this point must satisfy the equation of the parabola. so, by putting the value of points we get a set equations-

5=a[tex]6^{2}[/tex]+b(-6)+c

5=36a - 6b +c

and for other two points we get equations

-2=64a+8b+c

and 3=16a+4b+c

and for other three points we get the equations

1=289a+17b+c

-1=81a-9b+c

2=11025a+105b+c

so on solving we get these three set of quadratic equations.

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Answer: y = -1/7x + 3

Step-by-step explanation:

Write the equation of the line passing through the points (-7.4) and (7.2).

First, find the slope of the two points by the y2-y1/x2-x1 slope formula.

The slope is -1/7.

Then, use the point slope form y-y1 = m(x-x1).

Answer: 11

Step-by-step explanation:

[tex]A-B=\{2\}[/tex].

Since there is 1 element in this set, the answer is 1.

On the z-score metric, the standard deviation of the behaviour scores is 3.

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The measure of ∠ A is 44 degrees.

Given that:-

∠ A and ∠ B are complementary angles.

∠ A = (6x +2) degrees

∠ B = (4x + 18) degrees

We have to find the measure of ∠ A.

We know that the sum of two complementary angles is 90 degrees.

Hence, we can write,

(6x + 2) + (4x + 18) = 90

(6x + 4x) + (2 + 18) = 90

10x + 20 = 90

10x = 90 - 20

10x = 70

x = 70/10

x = 7 degrees

Hence,

∠ A = 6*7 + 2 = 42 +2 = 44 degrees.

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We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:

Since the vertical line touches the graph in two axes this means that the given graph is not a function.

Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]

The student that has the greatest percent error is Ebony.

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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Answer:

She has 3 dresses for sure! But I don't know the percentage!

Answer:

C. order

Step-by-step explanation:

The associative property of addition allows you to change the of numbers without affecting the sum.

Answer: Grouping

Step-by-step explanation:

Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Answer: slope = [tex]\frac{y}{x}[/tex]

Step-by-step explanation:
Slope means gradient which is given by change in y
                                                                      change in x
on the graph, change in y = 100-0 = 100
                        change in x = 95-45 = 50
so, gradient is 100/50
                      = 2

Answer: 4

150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

Two or more expressions with an Equal sign is called as Equation.

Given that,

A hot air balloon is cruising at an altitude of 150 meters above the ground when it begins its descent.

The balloon descends at a rate of 5.5 meters per minute.

We need to write an equation to model when the balloon will reach an altitude of 95 meters above the ground.

The equation is 150 - 5.5n= 95

Hence 150 - 5.5n= 95 equation to model when the balloon will reach an altitude of 95 meters above the ground.

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In this kind of problem is better to work backwards. We have the number nine hundred twenty-eigh.

This means that the two last digits are a 2 and a 8, becasue we have a "twenty-eight" = 28

And then, we have "nine hundred" = 900

The number whole, then, is:

The speed is calculated as distance over time, so:

Replacing distance by 60 m and time by 3 seconds, we get:

The speed of the vehicle is 20 m/second

Answer: y=x/3 + 4

Step-by-step explanation:

Answer:

y > -1

Step-by-step explanation:

8y+9 > 1

   -9    -9

8y > -8

/8    /8

y > -1

Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.

The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.

VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.

VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.

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