MATHEMATICS HIGH SCHOOL

If EG and HJ are parallel lines and m

Answers

Answer 1

Answer:

The measure of ∠ JIK is 122°

What are corresponding angles?

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

Given that, EG and HJ are parallel lines and m is transversal

∵ ∠ GFI and ∠ JIK are corresponding angles, and corresponding angles between two parallel lines are equal.

∴ m ∠ GFI = m ∠ JIK = 122°

For more references on corresponding angles, click;

brainly.com/question/1597341

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Answer 2

Answer:

Answer:

m JIK = 122°

Step-by-step explanation:

HERE, L || M

So, m JIK = m GFI

( since they are corresponding angles pair )

so, m JIK = 122°

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Solve for x.

6x + 2 = 14

Answers

6x + 2 - 2 = 14 - 2
6x/6 = 12/6
x = 2

How to find the volume of a cylinder? Need help, thanks.

Answers

well I personally do not know the volume of a cylinder but for example if you had a cylinder that the radius(had of the diameter) was 5 and say the height was 13 then you could go on google, safari, etc. and search exactly this (also works with triangles, rectangles, squares, circles, parallelograms, trapezoids, etc. and also with the volume and surface area of triangular prisms, rectangular prisms, etc.) but any way type in this: what is the formula for the volume(area, Surface Area, etc.) of a cylinder(rectangular prism, triangular prism) you put in the height and the radius of the cylinder and the answer will automatically pop up if this didn't help(which I really hope it did!!) the I am terribly sorry

if its length is 2x-3 feet and its width is 5x+1 feet, what is the actual length and width of the rectangle ? ( a rectangle has an area of 1281 square feet.)

Answers

( 2x - 3) X ( 5x +1) = 1281

*it's a quadratic

10x² -13x -3 = 1281 * move 1281 to the left side to equal zero

10x² -13x - 1284= 0

and solve to look for the zeros....

Do you know how to?

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30

Answers

I added a screenshot with the diagram

Answer:

x = 28

Explanation:

When two triangles are congruent, corresponding sides as well as corresponding angles are equal

We are given that:

ΔGEF and ΔHEF are congruent

This means that:

angle G = angle H

angle GEF = angle HEF

angle EFG = angle EFH

GE = HE

GF = HF

EF = EF

We are given that:

angle GFE =60° and angle HFE = 2(x+2)

Since the two angles are equal, we can get x as follows:

2(x+2) = 60

x + 2 = 30

x = 30 - 2

x = 28

Hope this helps :)

If Δ GEF and Δ HEF are congruent than:
2 ( x + 2 ) = 60 / : ( -2 ) we will divide both sides of the equation by -2.
x + 2 = 30
x = 30 - 2
x = 28
Answer : C ) 28°

How do I convert from y = mx + b form to Ax + By + C = 0 form? The line is y = 2x - 4. Thanks. :)

Answers

y=2x-4
2x-y-4=0 (subtract y to both sides of the equation)

$y = 2x - 4\n2x-y-4=0$

XZ=15 and the perimeter of XWZ is 50. what is the length of WZ?

Answers

Assuming that this is an Isosceles Triangle which has 2 sides equal, then we can assume as well that XZ being the base of 15 and the total perimeter is XWZ = 50.

Perimeter = X + W + Z

Therefore;

XWZ (50) – XZ (15) = 35

Since we are assuming that this is an Isosceles triangle then 2 sides should have equal distance.

35 / 2 = 17.5

Hence, XW = 17.5 and ZW = 17.5

Perimeter = 15 + 17.5 + 17.5 = 50