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3 years ago

These figures are congruent. What is the length of side LM?

Mathematics

2 answers:

Anestetic [448]3 years ago

5 0

I think it would be 5

sergiy2304 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

congruent means sides are equal

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Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?

ddd [48]

Charles' weight = Edith's weight + 20% of Edith's weight

We'll use a variable to represent Edith's weight, x.

The decimal form of 20% is 0.2.

60 = x + 0.2x

60 = 1.2x

x = 50

Edith's weight is 50kg.

Hope this helps!

4 0

2 years ago

Find the following value

e-lub [12.9K]

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

4 0

3 years ago

Simplify each expression then factor the expression 14-28t-5(7+10t)

ludmilkaskok [199]

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

$14 - 28t -35 - 70t$

We group like terms to get:

$14 -35 - 28t- 70t$

We combine similar terms to get:

$- 21- 98t$

We now factor to obtain:

$- 21- 98t = - 7(14t + 3)$

5 0

3 years ago

Chaney deposits $1435.73 into a savings account that pays a simple annual interest rate of 1.32%. How much interest will she ear

Aneli [31]

Answer:

Interest Chaney earns after 3 years is $56.85

Step-by-step explanation:

Given:

Amount deposited = $1435.73

Simple annual interest rate = 1.32% = 1.32/ 100 = 0.0132

To find: Interest after 3 years

We know that the formula to calculate the interest amount is

Simple interest (S.I.) = $\frac{Prt}{100}$

where,

P is the initial amount deposited

r is the rate of simple interest in percentage

t is the time in years for which interest is to be calculated

Substituting the known values in the formula, we get

S.I = $\frac{1435.73 x 1.32 x 3}{100}$

= 56.85

Hence the interest Chaney earns after 3 years is $56.85

8 0

3 years ago

If four times a number is increased by 15 the result is three less than six times the number find the number

skad [1K]

Answer:

Step-by-step explanation:

Let the number be n.

Then: 4n + 15 = 6n - 3

Subtract 4n from both sides, obtaining: 15 = 2n - 3

Now add 3 to both sides, obtaining 18 = 2n. Then n = 9.

3 0

3 years ago