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Stells [14]
3 years ago
12

Does anyone know what I am missing to get the final mark? Any ideas would be much appreciated :)

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer: Isosceles

<u>Step-by-step explanation:</u>

Given: AB || DE ,  BC is a transversal

∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°

∠DCA, ∠ACB, & ∠BCA are supplementary  --> ∠ACB = 50°

By the Triangle Sum Theorem, ∠A+∠B+∠C  = 180° --> ∠CAB = 50°

Triangle is isosceles because ∠A ≅ ∠C

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10 x 8 equals the area for a square/rectangle then multiplied by .5 equals area for a triangle. You multiply because triangles are half of a square.

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Your friend has a bag of 20 marbles. Seven
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Answer:

20%

Step-by-step explanation:

First, I added them up. From the things we know, blue, red, green, yellow combined equals 16 marbles. 20-16 equals 4. So there are 4 white marbles. 4/20 times 5 equals 20/100. So the percent of the marbles that are white is 20%.

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3 years ago
Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
balandron [24]

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

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3 years ago
What is the midpoint of the line segment with endpoints ( 3.5,2.2) and (1.5,-4.8)?
Fantom [35]

Answer:

Option A) (2.5,-1.3) is correct

The midpoint of the given line segment is M=(2.5,-1.3)

Step-by-step explanation:

Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)

To find the mid point of these endpoints midpoint formula is M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Let (x_1,y_1) be the point (3.5, 2.2) and (x_2, y_2) be the point (1.5, -4.8)

substituting the points in the formula

M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

M=\left(\frac{3.5+1.5}{2}, \frac{2.2-4.8}{2}\right)

=\left(\frac{5}{2}, \frac{-2.6}{2}\right)

=\left(2.5,-1.3\right)

Therefore M=(2.5,-1.3)

The midpoint of the given line segment is M=(2.5,-1.3)

8 0
3 years ago
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