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vitfil [10]
3 years ago
11

(20 POINTS!!!) which of the following terms describe the relationship between <CFD and <DFE? Chose all that apply. (2)

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

A: adjacent angles: The angle ∠CFD & ∠DFE are directly  next to each other, making them <em>adjacent angles</em>.

B: Complementary angles: Note that m∠BFC measures at 90°. m∠BFE is a straight line, with 180°. This means that ∠BFE - ∠BFC = ∠DFE.

180 - 90 = 90 ∴ m∠DFE = 90°

~

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Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What ar
Nitella [24]

Answer:

At $8.40 an hour for a 40 hour week the earnings would be $336. With 5 hours overtime the pay would be $12.60 an hour which equals $63 making her earnings a total of $399 for the 45 hour work week. would be Step-by-step explanation:

5 0
3 years ago
I need help asap!!!! Please It’s an Algebra 2 question
Elza [17]

Answer:

8) Real; Rational

9) Real; Rational; Integer; Whole; Natural

10) Real; Rational

Step-by-step explanation:

Real numbers consists of the subsets:

Irrational Numbers:

Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.

Rational Numbers:

Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.

Integers:

Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.

Whole Numbers:

Whole numbers is the set of natural numbers that <em>includes</em> 0. So, whole numbers are: 0, 1, 2, 3... and so on.

Natural Numbers:

Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.

8) 1.\overline{3}=1.3333...

The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.

9) \sqrt4=2

The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.

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7 0
3 years ago
Square RSTU is translated to form R'S'T'U', which has vertices R'(–8, 1), S'(–4, 1), T'(–4, –3), and U'(–8, –3). If point S has
Zarrin [17]

Answer:

C. (-1, -6)

Step-by-step explanation:

Hope this helps :)

7 0
2 years ago
In rectangle abcd, points p and q lie on side AB and DC respectively. Angle PMQ is a right angle, M is the midpoint of side BC a
nirvana33 [79]

Answer:

PM:MQ = 8:3.

Step-by-step explanation:

\rm \angle B\hat{M}P + 90^{\circ} + \angle C\hat{M}Q = 180^{\circ};

\implies \rm \angle B\hat{M}P + \angle C\hat{M}Q = 90^{\circ};

\implies \rm 90^{\circ} - \angle B\hat{M}P = \angle C\hat{M}Q.

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\rm \angle B\hat{P}M = 90^{\circ} - \angle B\hat{M}P in right triangle PBM.

Thus \rm \angle{P\hat{B}M} = \angle C\hat{M}Q.

Additionally \rm \angle \hat{B} = 90^{\circ} = \angle \hat{C}.

Therefore \rm \triangle PBM \sim \triangle MCQ.

\rm \displaystyle BC = 2\;MC for M is the midpoint of segment BC.

\rm \displaystyle PB = \frac{4}{3}BC = \frac{8}{3}MC.

\rm \triangle PBM \sim \triangle MCQ implies that

\displaystyle \rm PM:MQ = PB:MC = 1:\frac{8}{3} = 8:3.

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