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3 years ago

What can you conclude about the interior angles formed when two parallel lines are cut by a transversal

Mathematics

2 answers:

Andre45 [30]3 years ago

5 0

The two interior angles will be congruent.

Hope this helps :)

bonufazy [111]3 years ago

3 0

The two interior angles will be congruent.

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A water dispenser has the capacity of 25,000 milliliters. What is the capacity in liters

erica [24]

Since there are 1000 millilitres in 1 Liter. If we divide 25,000 by 1000 we get an answer of 25 Litres.

7 0

3 years ago

I do no understand this

vovangra [49]

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

Solution:

Given data:

Slope (m) = $\frac{1}{2}$

Point = (–2, 0)

$x_1=-2, y_1=0$

To find the equation of the given line in the point-slope form:

Point-slope formula:

$y-y_1=m(x-x_1)$

Substitute the given values in the formula.

$$y-0=\frac{1}{2} (x-(-2))$

$$y=\frac{1}{2} (x+2)$

$$y=\frac{1}{2} x+\frac{2}{2}$

$$y=\frac{1}{2} x+1$

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

5 0

3 years ago

3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

g100num [7]

Answer:

A.10000

B.25 more trees must be planted

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)

A.

⇒If the total trees per acre is doubled , which means :

total number of trees per acre $t_{f}$ = $2*t_{i}$ = 200

the yield will decrease by : $t_{f}$ - $y_{i}$

$y_{f}= 150-100= 50$

⇒total yield = $50*200=10000$

B.

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = $(100+y)*(150-y)\\=15000+50y-y^{2} \\$

this is a quadratic equation. this can be rewritten as ,

⇒ $=15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}$

In this equation , the total yield becomes maximum when y=25;

⇒Thus the total number of trees per acre = 100+25 =125;

3 0

2 years ago

Venus Waldo reviewed her account statement and wanted to verify that the interest amount was correct. Her new balance was $12,09

user100 [1]

Answer:

The interest on the savings account is $46.47

Step-by-step explanation:

Here, we want to know the interest earned on the savings account.

The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92

The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45

This is the amount that is supposed to be on the account without interest

So the interest earned would be; 3044.92 - 2,998.45 = $46.47

3 0

3 years ago

The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t

liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

8 sin(x) tan2(x)

- We will first use reciprocal identities:

$8\frac{sin(x)}{cos^2(x)} - 8sin(x)$

- Now take LCM:

$8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}$

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

$8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}$

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

$8*sin(x)*tan^2(x)$

8 0

3 years ago

Read 2 more answers