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lys-0071 [83]
3 years ago
8

What is the slope of the line shown below?

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

Slope = 3

Step-by-step explanation:

2 - 8 = -6

2 - 4 = -2

Slope = 3

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Financial planners recommend that families save about 5% of their take-home pay. Ed and Sherrie save $90 each pay period from th
Ratling [72]

Answer:

Ed and Sheerie save 7.5%.

Step-by-step explanation:

This question can be solved using a rule of three.

Ed and Sherrie save $90 each pay period from their combined paychecks, which total $1200. What percent do Ed and Sherrie save?

How much of $1200 is $90? $1200 is 100% = 1, $90 = x. So

$1200 - 1

$90 - x

1200x = 90

x = \frac{90}{1200}

x = 0.075

Ed and Sheerie save 7.5%.

7 0
3 years ago
ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0
3 years ago
What is 850 in scientific notation?
jonny [76]

Answer:

it is 8.5 x 10^2 because when you times the 10 twice and then multiply it with 8.5 and the decimal moves

4 0
3 years ago
Can someone please help me :)
gavmur [86]

Answer:

<em>90 degree</em>

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

7 0
3 years ago
Describe an animal adaptation and explain how it helps survival.
marin [14]

Answer and Step-by-step explanation:

Animal adaption for Birds.

Birds who live on a tropical island with large, hard shell nuts.

The birds have small beaks, but over time, their beaks become bigger, stronger, and sharper, so that it can break into the hard shell nuts, allowing them to eat the nuts.

<em><u>#teamtrees #WAP (Water And Plant)</u></em>

3 0
3 years ago
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