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Eduardwww [97]
2 years ago
13

PLEASE HELP!

Mathematics
1 answer:
AveGali [126]2 years ago
7 0

Answer:

b

Step-by-step explanation:

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Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.
vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is \frac{1}{8} x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + \frac{1}{8}x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0
2 years ago
Read 2 more answers
State whether the following statements are true or false, and explain your reasoning.
Masja [62]

Answer:

Step-by-step explanation:

a) A square is a rectangle.   True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is  a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = \frac{n(n-3)}{2}

n --> number of sides of a polygon.

= \frac{21*18}{2} = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles  of any polygon is 360

6 0
3 years ago
Read 2 more answers
Write the equation of a line in the slope-intercept form that has a slope of 4 and contains the point (4, 12).
vekshin1

Answer:

y=4x-4

Step-by-step explanation:

Hi there!

we are given that a line has a slope of 4 and it contains the point (4, 12)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately substitute it into the formula.

Replace m with 4 in y=mx+b:

y=4x+b

Now we need to find b

As the equation passes through the point (4, 12), we can use it to help solve for b

Substitute 4 as x and 12 as y:

12 = 4(4) + b

Multiply

12 = 16 + b

Subtract 16 from both sides

-4 = b

Substitute -4 as b

y = 4x - 4

Hope this helps!


Topic: Finding the equation of the line

See more on this topic here: brainly.com/question/27539102

7 0
2 years ago
(05.02 LC)<br> Which equation does the graph below represent?
NISA [10]

Answer:

I think y= -1/3x

sorry if wrong

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ME WITH THIS!!!!!!
Lapatulllka [165]

Answer:

Parallelogram

Step-by-step explanation:

Hope this helps! Please leave any questions or concerns in the comments, byeee <3

6 0
2 years ago
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