Find the measure of the arc

raketka [301]

✯Let's solve this equation step-by-step!
✯is the question you've asked us today:
|x − 2| + 10 = 12

✯Add -10 to both sides:
|x−2|+10+−10=12+−10

✯Solve Absolute Value:
|x−2|=2

✯We know either:
x−2=2 or x−2=−2

(Possibility 1) x−2=2

(Add 2 to both sides) x−2+2=2+2

x=4

(Possibility 2) x−2=−2

(Add 2 to both sides) x−2+2=−2+2

x=0

✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!✯

3 0

3 years ago

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Write a polynomial as the sum of the monomials and write it in standard form. For each of the above specify the degree of the re

klio [65]

Answer:

2b³ +2a -2c . . . . degree 3 polynomial

Step-by-step explanation:

The monomials are ...

... 4a . . . . degree 1 in a

... -5b·b² = -5b³ . . . . degree 3 in b

... -3c . . . . degree 1 in c

... 7b³ . . . . degee 3 in b (like term with -5b³)

... +c . . . . degree 1 in c (like term with -3c)

... -2a . . . . degree 1 in a (like term with 4a)

So, we have 3 pairs of like terms. The like terms can be combined by summing their coefficients.

The degree of the polynomial is that of the highest-degree term. (Here, the b³ term makes it a polynomial of degree 3.)

... 4a -2a = (4-2)a = 2a . . . . combining the "a" terms

... -5b³ +7b³ = (-5+7)b³ = 2b³ . . . . combining the b³ terms

... -3c +c = (-3 +1)c = -2c . . . . combining the "c" terms

In standard form, we write the highest-degree term first. Follwing terms are in order by decreasing degree. It is convenient, but perhaps not required, to then write the terms of the same degree in alphabetical order.

... = 2b³ +2a -2c . . . . a 3rd degree polynomial

7 0

3 years ago

Martha earns $16.50 an hour for a regular 40 hour week. He overtime payo is 1.5 times her regular hourly rate. This past week Ma

Radda [10]

Answer:

12

Step-by-step explanation:

Regular work week is 40 hours; at $16.50 per hour, that comes to $660.

Subtracting $660 from the toal $948.75 yields $288.75, which represents her pay at the overtime rate of (1.5)($16.50/hr), or $24.75/hour

Dividing $288.75 by this overtime rate of $24.75/hr yields 11.666 ...

We conclude that she worked approximately 12 hours overtime to end up

with $948.75 total pay.

3 0

3 years ago

Surveyors need to measure the distance across a pond. they created similar triangles in this picture.

leonid [27]

Answer:

Therefore the Distance across the Pond is

$x=391\ ft$

Step-by-step explanation:

Given:

Triangle are Similar

AB = 90 ft

AC = 170 ft

BD = 207 ft

DE = x

To Find:

x = ?

Solution:

In Δ ABC and Δ DBE

∠A ≅ ∠D …………..{ measure of each angle is 90° given }

∠ABC ≅ ∠DBE ……….....{Vertical Angle Theorem}

Δ ABC ~ Δ DBE ….{Angle-Angle Similarity test}

If two triangles are similar then their sides are in proportion.

$\dfrac{AB}{DB} =\dfrac{AC}{DE} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{90}{207} =\dfrac{170}{x}\\\\x=23\times 17=391\ ft$

Therefore the Distance across the Pond is

$x=391\ ft$

8 0

3 years ago

Karen surveys a group of people to find out how many hours, in total, they had worked in the previous week. Her results are summ

Fantom [35]

Bro? There’s nothing or no evidence

7 0

3 years ago

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