MATHEMATICS MIDDLE SCHOOL

E is the mid point of the median AD of a triangle ABC. show that ar(triangle ABE) = 1/4 ar(triangle ABC)

Answers

Answer 1
Answer:

Explanation:

In triangle ABC

ABD=ACD-------------(1)

In triangle  abd,BE is the median

Abe = bed-------------(2)

Now,

ABD = BED

=2 (BED)-----------(3)

ABC=ABD + ACD

ABC = 2(ABD)----- using(1)

ABC =2 * 2(BED)---- using(3)

ABC = 4(BED)

So,

(BED) = 1/4(ABC)

Hope It's Helps!

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-PLEASE HURRY- this is the third time I’ve asked this question and no one has given me an answer.How do I evaluate/solve multi-step expressions?

Answers

Answer:

Step-by-step explanation:

Solve 3y + 10.5 = 6.5 + 2.5y.

Add -2.5y to both sides so that the variable remains on one side only. Now isolate the variable by subtracting 10.5 from both sides. Multiply both sides by 10 so that 0.5y becomes 5y, then divide by 5. Check your solution by substituting -8 in for y in the original equation.

An arc on a circle measures 295º. The measure of the central angle, in radians, is within which range?

Answers

Answer:

3π/2  to 2π radians

Step-by-step explanation:

An arc on a circle measures 295°

now, we want to find angle in radian

and to find angle in radian , we multiply pi/180 into degree

simplify it

Answer: its D.

Step-by-step explanation:

Quan bought 8.6 meters of fabric. How many centimeters of fabric did he buy? A 86 centtimeters
B 860 centimeters
C 8,600 centimeters
D 86,000 centimeters

Answers

B because when you convert the 8.6 meter it will be 860 meter

Please help with this geometry question, ignore the answer it is a guess (photo attached above)

Answers

Answer:

You are correct for sure.

Step-by-step explanation:

You look at the right angles, look at the degrees, add them, subtract 360 degrees and BAM! Got it !!!!

My number has 2 hundreds. the tens digit is 9 more than the ones digit my number is

Answers

290 because the two hundreds is the 2 in the hundreds place and then tens is 9 more than ones, so then the ones cant be anymore than 0 because if its 1 then there is 10 which adds to the hundreds making it 300 so the ones has to be 0 and then 9 more so 9

5. Trisha plans to invest $1,800.00 in a savings account. Savings account 1 earns 4% simple interest and savings account 2 earns 4% interest compounded quarterly. If she plans to deposit the $1,800.00 and leave it in the account for 2 years, in which savings account would she earn more interest? *savings account 1
savings account 2
The interest earned in both savings accounts will be the same.

Answers

The interest earned in both savings account will be the same.

Given:
Principal = 1,800
interest rate = 4%
term = 2 years

Savings Account 1 : simple interest
S.I = Principal x rate x term
     = 1,800 x 0.04 x 2years
S.I = 144

Savings Account 2 : compound interest. Compounded quarterly for 2 years. The exponent is the number of times the interest is compounded.
4% is the annual rate. Since it is compound quarterly, 4% divide by 4 quarter is 1% per quarter.

C.I = Pricipal x (1+r/4)^t
C.I = 1,800 x 1.01⁸
     = 1,800 x 1.08
C.I = 1,944

1,944 - 1800 = 144 interest earned.

Answer:

savings account 2

Step-by-step explanation:
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