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4 years ago

8

Simplify this expression: g-3(f-g)-2f

1 answer:

vodomira [7]4 years ago

5 0

Answer:

4g-5f

Step-by-step explanation:

g-3(f-g)-2f=g-3f+3g-2f=4g-5f

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A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

mr Goodwill [35]

9514 1404 393

Answer:

3362 ft²

Step-by-step explanation:

As we saw in brainly.com/question/22284853, the long side of the area will be half the length of the fence: 82 feet. The remaining two sides will be 41 feet each, so the largest area that can be enclosed is ...

A = LW

A = (82 ft)(41 ft) = 3362 ft²

7 0

3 years ago

SOMEONE PLEASE HELP!!!<br> what is the value of x? <br> A.15<br> B.25<br> C.30<br> D.35

Amiraneli [1.4K]

The answer is D, 35 degrees. The 35 degree angle and angle x are opposite interior angles and are therefore congruent in measure.

4 0

3 years ago

Read 2 more answers

Esther ate seven less than six times as many jelly beans as Jake. Esther ate 77 jelly beans. How many jelly beans did Jake eat?

anygoal [31]

462 should be correct sorry if not

4 0

3 years ago

Read 2 more answers

Using the figure to the right, if RSTU is a rhombus, find measure RST.

sammy [17]

Given:

In rhombus RSTU, $m\angle RUV=(10x-23)^\circ$ and $m\angle TUV=(3x+19)^\circ$ .

To find:

The $m\angle RST$ .

Solution:

We know that, diagonals of a rhombus are angle bisector. So,

$m\angle RUV=m\angle TUV$

$(10x-23)^\circ=(3x+19)^\circ$

$10x-23=3x+19$

Isolating variable terms, we get

$10x-3x=23+19$

$7x=42$

Divide both sides by 7.

$x=\dfrac{42}{7}$

$x=6$

Now,

$m\angle RUV=(10x-23)^\circ$

$m\angle RUV=(10(6)-23)^\circ$

$m\angle RUV=(60-23)^\circ$

$m\angle RUV=37^\circ$

And,

$m\angle TUV=(3x+19)^\circ$ .

$m\angle TUV=(3(6)+19)^\circ$

$m\angle TUV=(18+19)^\circ$

$m\angle TUV=37^\circ$

Now,

$m\angle RUT=m\angle RUV+m\angle TUV$

$m\angle RUT=37^\circ+37^\circ$

$m\angle RUT=74^\circ$

We know that opposite angles of a rhombus are equal.

$m\angle RST=m\angle RUT$

$m\angle RST=74^\circ$

Therefore, the measure of angle RST is $74^\circ$ .

3 0

3 years ago

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.

Pavlova-9 [17]

Answer:

0.15 or 15%

Step-by-step explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

$P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}$

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

$P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%$

The probability is 0.15 or 15%.

7 0

3 years ago