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Alenkinab [10]
3 years ago
6

Can you help me ? 70 points

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0

Answer:

x=5

Step-by-step explanation:

CE = EB since E is the midpoint of CB (proven by AD intersecting it).

If CE=EB, then:

2x=15-x\\

<em>Add </em>x<em> to both sides</em>

3x=15\\

<em>Divide both sides by 3</em>

x=5

LUCKY_DIMON [66]3 years ago
3 0

Answer:

5

Step-by-step explanation:

Since the diagonals of a parallelogram bisect each other, the two halves must be equal. Therefore:

15-x=2x \\\\15=3x \\\\x=5

Hope this helps!

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What are the slope, m, and the y-intercept, B, of a line that pases through the points (-2,1)and (8,-5)?
RideAnS [48]

Answer:

  • B. m= -3/5 and b= -1/5

Step-by-step explanation:

<u>Given points:</u>

  • (-2, 1) and (8, -5)

<u>Slope is:</u>

  • m = (y2 - y1)/(x2 - x1)
  • m = (-5 - 1)/(8 - (-2)) = -6/10 = -3/5
  • m = -3/5

<u>Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:</u>

  • 1 = (-3/5)*(-2) + b
  • 1 = 6/5 + b
  • b = 1 - 6/5
  • b = - 1/5

Correct option is B.

6 0
3 years ago
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A recipe calls for 1 3/4 cups of flour. If the recipe is tripled, how much flour is needed?
Grace [21]
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How do I do this? (Number 5)
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It would be 31 I do believe
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Factor the trinomial below. x2 – 2x – 35 A. (x – 5)(x + 7) B. (x – 5)(x – 7) C. (x + 5)(x – 7) D. (x + 5)(x + 7)
Sophie [7]
c. (x + 5)(x - 7)    use the FOIL method.

x² + 5x - 7x - 35

x² + (5x - 7x) - 35   collect like terms.

x² - 2x - 35   

hope that helps, God bless!
3 0
3 years ago
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Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 ce
larisa [96]
The complete question in the attached figure

we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[<span>original painting]

</span><span>dimensions </span>copy of a painting--------------> 1.75 in x 5.25 in

for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm


for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm

the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm

Part B)
<span>Find the area of the original painting.
[</span>area of the original painting]=42*126=5292 cm²
<span>
the answer Part B) is
</span>area of the original painting is 5292 cm²
<span>
Part C)
</span><span>One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
</span>
the dimensions of the original painting are 42 cm x 126 cm
then

for 42 cm
if  1 cm----------------> 0.033 ft
 42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft

for 126 cm
if  1 cm----------------> 0.033 ft
 126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft

the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft

Part D) <span>Find the area of the painting in square feet. Round to the nearest thousands.
</span>
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²

the answer part C) is
the area original painting in feet is 5.763 ft²

3 0
4 years ago
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