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3 years ago

Two consecutive angles of a parallelogram are always

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

Answer:

Step-by-step explanation:

in a parallelogram consecutive angles sum to 180°

This means that consecutive angles are supplementary

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A square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canva

MrMuchimi

ANSWER:

The bare canvas is of 17 cm length.

SOLUTION:

Given, a square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas.

The area of the framed painting is 625 $cm^2$ ,

Let, the length of the bare paintings be x.

Then, after adding the frame,

length becomes x + 4 + 4 = x + 8. [we added 4 two times, because frame adds on both sides of painting.]

Now, we are given that, area of the framed painting is 625 $cm^2$

Area = 625

$Length^2$ = 625

$(x + 8)^2$ = $25^2$

x + 8 = 25

x = 25 – 8 = 17

Hence, the bare canvas is of 17 cm length.

4 0

3 years ago

Read 2 more answers

How much sit-ups can you do in 1 minutes?

galben [10]

I can do like 42, my highest was 54 though

8 0

3 years ago

Solve the inequality: −34 < −2(4x − 1)

Ne4ueva [31]

$- 34 < - 2(4x - 1) \\ - 34 < - 8x + 2 \\ - 34 - 2 < - 8x \\ - 36 < - 8x \\ 36 > 8x \\ \frac{36}{8} > x \\ x < \frac{9}{2}$

7 0

3 years ago

A line goes through the points (8,9) and (-2,4).

Softa [21]

Part A:

Slope of line is given by vertical distance ÷ horizontal distance

Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10

slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------

Part B

The point-slope form is given by
(y - y₁) = m (x - x₁)

We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have

(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------

Part C

The slope-intercept form is given by the equation
y = mx + c

Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B

y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form

7 0

3 years ago

Read 2 more answers

A candy company puts 7 gumdrops in each bag. How many gumdrops will the company need to fill 9 bags?

stiv31 [10]

Answer:

Step-by-step explanation:

In these 9 bags, each must have 7 gumdrops. So, we can add 7 nine times to itself. 7 + 7 + 7 + 7 + ... = 63

OR HERE'S A FASTER WAY *WINK WINK*

Instead of doing repeated addition, we can multiply 7 and 9 together.

Why multiply?

We're going to multiply 7 x 9 so that it means seven gumdrops for each of nine bags.

7 x 9 = 63.

3 0

3 years ago