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2 years ago

The portion of line that falls between two points is call:

Mathematics

1 answer:

Fittoniya [83]2 years ago

5 0

A, line segment : part of a line that is bounded by two distinct end points, and contains every point of the line between it's endpoints.

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In the figure, AB || CD. Find the measure of < GEB.

Maru [420]

If AB ║ CD then <GEB = 50 (corresponding angles are equal)

Answer is B.
<GEB = 50

7 0

3 years ago

If x + 3y = 7 and x - 3y =7 , then find y<br><br> Please help me

telo118 [61]

Answer:

$x + 3y = 7 , x - 3y = 7 : y = , x = 7$

Step-by-step explanation:

$\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]$

Isolate $x$ for $x + 3y = 7 : x = 7 - 3y$ :

Substitute $x = 7 - 3y$ :

$\begin{bmatrix}7-3y-3y=7\end{bmatrix}$

Isolate $y$ for $7 - 3y - 3y = 7 : y = 0$ :

For $x$ $=7-3y$

Substitute $y = 0$

$x=7-3 * 0$

$7 - 3 * 0 = 7$

$x = 7$

The solution to the system of equations are:

$y=0,\:x=7$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

3 0

3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

2 years ago

Read 2 more answers

The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probab

Troyanec [42]

Answer:

78.81%

Step-by-step explanation:

We are given;

Population mean; μ = 149

Sample mean; x¯ = 147.8

Sample size; n = 88

standard deviation; σ = 14

Z-score is;

z = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

z = (147.8 - 149)/(14/√88)

z = -0.804

From z-distribution table attached, we have; p = 0.21186

P(X > 147.8) = 1 - 0.21186 = 0.78814

In percentage gives; p = 78.81%

6 0

2 years ago

What is the slope of the line through (6,9) and (7,1)

pychu [463]

Answer:

-8

Step-by-step explanation:

m= y₂- y₁/ x₂-x₁

m= 1-9/7-6

m= -8/1

m= -8

8 0

3 years ago

Read 2 more answers