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Svetllana [295]
2 years ago
8

Parallel lines e and f are cut by transversal b. What is the value of y?

Mathematics
1 answer:
tatyana61 [14]2 years ago
6 0

Answer:

y = 130

Step-by-step explanation:

Those two exterior angles are equal (property of parallel lines)

y is thsupplement of 4x - 14

2x + 18 = 4x - 14                     Add 14 to both sides

2x + 18 + 14 = 4x - 14 + 14      Combine like terms

2x + 32 = 4x                           Subtract 2x from both sides

2x-2x+32=42-2x                    Combine

32 = 2x                                   Divide by 2

32/2 = x

16 = x

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

4x - 14 =64 - 14 = 50

y = 180 - 50

y = 130

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Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group
Vikentia [17]

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

6 0
2 years ago
In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . Th
ivann1987 [24]
We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians

the answer part 1) is 0.57 radians

part 2) 
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²

the answer Part 2) is 14 ft²
3 0
3 years ago
Directions: Find the Surface Area
kenny6666 [7]

Answer:

Surface area = 92 ft²

Step-by-step explanation:

Formula to find the surface area of a rectangular prism is,

Surface area = 2(lb + bh + hl)

Here, l = length of the prism

b = width of the prism

h = height of the prism

By substituting the measures of the sides given in the picture,

Surface area = 2(2×3 + 3×8 + 8×2)

                      = 2(6 + 24 + 16)

                      = 2(46)

                      = 92 square feet

Therefore, surface area of the given rectangular prism is 92 ft².

4 0
2 years ago
What is the solution to the equation ?
Savatey [412]

Answer:

There is no solution of the system of equations.

Step-by-step explanation:

We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.

Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.

Again, the straight line y = 4 is parallel to the x-axis.

Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)

6 0
3 years ago
Find the answers to the following:
Mama L [17]

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

8 0
3 years ago
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