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3 years ago

Can someone help me do this proof?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

3 0

statement. reasons

1. In tri.ABE AND TRI.DCE

I. angle D=angle A. I. corresponding angle

ii.angleC=angle B. II. correspondingangle

iii.angleE=angle E. iii.common angle

2.ABE~DCE. 2.By AAA.condition.

proved.

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Write an equation of the form y = mx for the line shown below. If appropriate,

9966 [12]

Answer:

y = - 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = $\frac{-1-2}{2-(-4)}$ = $\frac{-3}{2+4}$ = $\frac{-3}{6}$ = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

6 0

3 years ago

Manuel borrowed $1,500 from his bank and signed a

Mice21 [21]

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

3 0

3 years ago

In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it

jek_recluse [69]

Answer:

There will be 8 possible outcomes.

Step-by-step explanation:

(Assume that there is no other outcome such as "no opinion" and "do not know.")

3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.

So, the number of possible outcomes are = $2\times2\times2=8$

YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN

Y = Yes and N = No

Therefore, there will be 8 possible outcomes.

4 0

3 years ago

Tony's Mom gives him a weekly allowance. Due to his bad behavior, his allowance has been shrinking at a rate of 2 3/10 dollars e

nikitadnepr [17]

Answer:

-3 2/7 per day

Step-by-step explanation:

-2 3/10 then put that all over 3 1/2

-23/10 divided by 7/2

-23/10 *21/7 = -23/7= -3 2/7 per day

the 10 cross out and make a 5

i should be right

7 0

3 years ago

Read 2 more answers

To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.

AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x -----> the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

$y=\frac{3x}{0.014}$

For x=25

substitute

$y=\frac{3(25)}{0.014}$

$y=5,357\ bees$

therefore

There are about 5,357 bees in the hive

6 0

4 years ago

Read 2 more answers