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Korvikt [17]
2 years ago
8

Triangle A C B is cut by line segment E D. Line segment E D goes from side B C to side A C. The length of B A is 4 x minus 6 and

the length of E D is x + 2. The length of B E is x. Sides B E and E C are congruent. Sides A D and D C are congruent.
What is the length of BC?

From the markings on the diagram, we can tell E is the midpoint of BC and

is the midpoint of AC

We can apply the

theorem: ED = One-halfBA.

Substituting in the expressions for the lengths and solving for x, we get x =

.

Now, since BE = x, then BC =
.
Mathematics
1 answer:
bezimeni [28]2 years ago
6 0

From the markings on the diagram, we can tell E is the midpoint of BC and <u>D</u> is the midpoint of AC. We can apply the <u>triangle midsegment theorem</u>: ED = ½BA. Substituting in the expressions for the lengths and solving for x, we get x = <u>5</u>. Now, since BE = x, then BC = <u>10</u>.

<h3>What is triangle midpoint theorem?</h3>

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

By applying the triangle midpoint theorem, we can find the value of x:

ED = ½BA

x + 2 = ½(4x - 6)

2x + 4 = 4x - 6

4x - 2x = 6 + 4

2x = 10

x = 10/2

x = 5.

BC = x + x

BC = 5 + 5

BC = 10.

Read more on triangle midpoint theorem here: brainly.com/question/16047906

#SPJ1

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Answer:

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Step-by-step explanation:

9) Since Alicia Martin's savings earns 6% quarterly for two quarters then:

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A=P(1+\frac{r}{n})^{nt}\Rightarrow A=1200(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A=\$1236.27

10) Aubrey Daniel's case:

A=P(1+\frac{r}{n})^{nt}\Rightarrow A=5725(1+\frac{0.04}{4})^{4*3}\Rightarrow A\approx \$6451.07

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A=P(1+\frac{r}{n})^{nt}\Rightarrow A=9855(1+\frac{0.06}{4})^{4*\frac{1}{2}}\Rightarrow A\approx \$10,152.87

12) Simpson's. For semiannual n=2

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6 0
3 years ago
Fu Haifeng of China set a badminton world record with a smash of 332 kilometers per hour. A kilometer is about 58 mile.What is t
katrin [286]

Answer:

206 miles/hour

Step-by-step explanation:

1 kilometre per hour = 0.621 mile per hour

332 km/hr to miles per hour

= 332 km/hr × 0.621 miles per hour

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The price of an item has been reduced by 85% the original price was $95 what is the price of the item
Yanka [14]

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25

3 0
3 years ago
You and your friend each construct triangles with the angle measures 15 degrees, 125 degrees, and 40 degrees. Will both triangle
xxTIMURxx [149]

The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.

The key word here is "similar;" be sure you understand what that means in trig.


3 0
3 years ago
Nine times fours is what
wel

Answer:

36

Step-by-step explanation:

9 x 4  =46

5 0
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