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serious [3.7K]
3 years ago
10

In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE HELP

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

so you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

if you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°

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I really need somebody to help me with this question. i’m gonna fail. this is year 8 maths btw.
lesya692 [45]

Answer:

Three questions for the equation 18 × y^3 :-

  • 9y × 2y^2
  • 6y^2 × 3y
  • 18 × 1y^3

hope it helps!

7 0
3 years ago
Blake mows a half acre of lawn for his grandparents every two weeks. If Blake has already mowed three-fifths of the lawn, how ma
Slav-nsk [51]
To answer this you will need to know that there are 43,560 square feet in 1 acre.

1. Half of this is 43560/2 or 21780 square feet.

2. Out of this amount Blake has already mowed 3/5 of the lawn. This means he must mow 2/5 (1 - 3/5) more.

2/5 of 21,780 ft.² can be represented this way:

2/5 x 21780 =?

He needs to mow 8712 ft.² more.
7 0
4 years ago
Suppose that the function h is defined, for all real numbers, as follows.
raketka [301]

The function h is defined, for all real numbers , answer is as follows -

h(1) = - 2

h(2) = 3

h(4) = 3.

function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable

We have been given that

h(x) = 1/4(x) - 1       if x < -2

h(x) = -(x + 1)² + 2  if -2 ≤ x < 2

h(x) = 3                  if x ≥ 2

Find h (1), h (2), and h (4)

For h (1) -

Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2

So put x = 1

h(x) = -(x + 1)² + 2

h(1) = -(1 + 1)² + 2

h(1) = -4 + 2

h(1) = - 2

For h (2) -

Value of h(2) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(2) = 3

For h (4) -

Value of h(4) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(4) = 3

Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.

To learn more about Function

brainly.com/question/25638609

#SPJ1

5 0
1 year ago
A student makes a sign out of a rectangular piece of cardboard for an upcoming event at school. The piece of cardboard has a len
seraphim [82]

Answer:

915 in²

Step-by-step explanation:

The area of the rectangle :

Length = 32 inches

Width = 25 - (10+10) = 25 - 20 = 5 inches

Area of rectangle = Length * width

Area = 32 * 5 = 160 in²

Area of triangle :

Base = 25 inches

Height = (46 - 32) inches = 14 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 25 * 14 = 175 in²

Total area = (160 + 175)in² = 335 in²

Total area of cardboard :

50 inches * 25 inches = 1250 in²

Amount of cardboard not used :

(1250 - 335) in² = 915 in²

3 0
3 years ago
A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles
andrezito [222]

Step-by-step explanation:

7red marbles,3 blue marbles,4 green marbles

4 0
2 years ago
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