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galben [10]
2 years ago
5

Given: BD bisects AC and ∠CBE≅∠ADE.

Mathematics
2 answers:
Anon25 [30]2 years ago
4 0

Here

  • BC=AD(Parallel)
  • <BEC=<AEC
  • <CBE=<ADE

So

∆BEC\cong∆AED(ASA)

Also similarly

  • ∆ABE\cong∆CBE

Hence it's a paralleogram

chubhunter [2.5K]2 years ago
3 0

Answer:

know that,

Sum of all four angles of a quadrilateral = 360o

Sum of two given angles = 40o + 110o = 150o

So, the sum of remaining two angles = 360o – 150o = 210o

Also given,

Ratio in these angles = 3 : 4

Hence,

Third angle = (210o x 3)/(3 + 4)

= (210o x 3)/7

= 90o

And,

Fourth angle = (210o x 4)/(3 + 4)

= (210o x 4)/7

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Madeline bought a new coat at a 20% off Sale. she saved $27. what was the original price of the coat?
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Let, the original price = x

x*20 /100 = 27

x = 2700/20 = 135

Original price was $135

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What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5
Aloiza [94]
B is the answer for this
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Henry takes out a $650 discounted loan with a simple interest rate of 12% for a period of 7 months. What is the effective intere
Andru [333]

The effective rate of interest will be 9.10 %.

<h3>What is compound interest?</h3>

Compound interest is applicable when there will be a change in principle amount after the given time period.

Let's say you have given 100 for two years with a 10% rate of interest annually than for the second-year principle amount will become 110 instant of 100.

Given for simple interest

Principle amount = $650

Rate of interest = 12%

Time period = 7 months.

Interest= PRT/100

Interest= 650× 12 × 7/100 = 546

So final amount = 650 + 546 =  $1196

By compound interest

1196 = 650[1 + R/100]^{7}

R = 9.10%

Hence the effective rate of interest will be 9.10%.

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6 0
2 years ago
Allyson has 4.5 pieces of rope to use for a tire swing. If each full piece is 2 2/3 feet long, how much rope does Allyson have i
Scorpion4ik [409]

Answer:

12 feet

Step-by-step explanation:

4.5 pieces of rope = 9/2 pieces in fractions

Also, 2 2/3 can be rewritten as 8/3 in fractions

So, 9/2 *8/3 = 72/6 = 12 feet

Allyson has 12 feet of rope in all.

6 0
3 years ago
Find the surface area of the triangular prism
lesya692 [45]

The surface area of the triangular prism is 1664 square inches.

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

SA= bh+pl

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

b=24 , h= 16 , l=20 and

p=20+20+24=64

Hence, substituting these values in the above formula, we get,

SA= (24\times16)+(64\times20)

Simplifying the terms, we get,

SA=384+1280

Adding the terms, we have,

SA=1664 \ square \ inches

Thus, the surface area of the triangular prism is 1664 square inches.

6 0
3 years ago
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