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Dominik [7]
3 years ago
11

How do I solve and what's the answer?

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

Step-by-step explanation:

A parallelogram is a family of quadrilateral which has its two opposite sides to be equal and parallel.

In the given parallelogram, the following proof can be deduced.

1. QS bisects RT: <RSQ ≅ <TQS                    Given

2. RV ≅ TV                                                      Definition of a bisector

3. <SRQ + < RQT = 180^{o}                                  Definition of supplementary angles

4. <RQS ≅ <QST                                             Definition of alternate angles

5. <RVT ≅ <QVT                                             Vertically opposite angles

6. <QRS ≅ <STQ                                             Opposite angles are congruent

7. QRST is a parallelogram                             Proofed

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son4ous [18]
3/8 / 1/48 = 3/8 x 48/1 = 144/8 = 18 hours
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4 years ago
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Find the value of x. Round your answer to the nearest tenth.
NikAS [45]

Answer:

In this question, we can use the Pythagorean theorem to solve for x.

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Let me know if this helps!

8 0
3 years ago
Can someone please help me please !
TEA [102]

Answer:

Step-by-step explanation:

GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5

HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10

IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5

JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10

Slope of the line that contains GH

(2-5)/(8-4) = -3/4

Slope of the line that contains HI

(-6-2) / (2-8) = 8/6 = 4/3

I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees

5 0
3 years ago
In how many ways can the letters in the word MATHEMATICS be reshuffled so that all consonants appear together?
steposvetlana [31]

Answer:

75600

Step-by-step explanation:

We are given that  a word MATHEMATICS

Total letters =11

M repeated 2 times

T repeated 2 times

A repeated 2 times

Total vowels=4

Let MTHMTCS=P

Total number of ways in which MTHMTCS can be arranged=\frac{7!}{2!2!}

PAEAI

Total number of ways in which PAEAI can arranged=\frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!}{2!2!}\times \frac{5!}{2!}

Total number of arrangements when all consonant appear together=\frac{7!5!}{2\times 2\times 2}=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1\times 5\times 4\times 3\times 2\times 1}{8}=75600

By using formula ;n!=n(n-1)(n-2)...2\times 1

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Mary would have to drive 750 for the plans to be the same.
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