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Len [333]
3 years ago
14

Please help I really need to pass this exam If line GF is a midsegment of triangle CDE, find CD.

Mathematics
2 answers:
olga55 [171]3 years ago
3 0
CF = FG = GC because it is equilateral triangle

So
3x + 0.8 = 2x + 3

3x–2x = 3 – 0.8

X = 2.2

Putting this value to DE

IT IS ALSO A EQUILATERAL TRIANGLE

SO
5x + 4 = 5× 2.2 +4 =

11+4 = 15

All side will be 15 of triangle CD = DC = CE = 15



Mark as brainliest
brilliants [131]3 years ago
3 0

Answer:

CD=13.6

Step-by-step explanation:

We have been given a triangle CDE in which GF is mid-segment. we are asked to find the value of CD.

We know that the length of mid-segment of a triangle is half the measure of third side.

Using triangle mid-segment theorem, we can set an equation as:

2(2x+3)=5x+4

4x+6=5x+4

Switch sides:

5x+4=4x+6

5x-4x+4=4x-4x+6

x+4=6

x+4-4=6-4

x=2

Since F is midpoint of CD, so we can set an equation as:

CD=2(3x+0.8)

CD=2(3(2)+0.8)

CD=2(6+0.8)

CD=2(6.8)

CD=13.6

Therefore, the length of CD is 13.6 units.

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Please find the area<br> 420ft2<br><br> 210ft2
Minchanka [31]

Answer:

Area= L×B

Area=420ft²×210ft²

Area=88200ft²

7 0
2 years ago
The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
devlian [24]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

(ax + b)^2 = a^2x^2 + b^2 + 2abx

Comparing this expression with the expression we're provided with:

x^2 + 10x + c

we see that:

a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

brainly.com/question/88561

6 0
1 year ago
11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th
Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

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Therefore, the cost of each friend is = \dfrac{136.5}{14}

The cost of each friend = £9.75


Learn more about fractions here:

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4 0
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Sibal started with $500 in a bank account that does not earn interest. In the middle of every month, she withdraws 15 of the acc
Otrada [13]
After every month's withdrawals, 4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
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