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4 years ago

Find the value of x in the triangle shown below

Mathematics

1 answer:

nirvana33 [79]4 years ago

5 0

Answer:

x = sqrt(27)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2 + x^2 = 6^2

9 + x^2 = 36

Subtract 9 from each side

9-9 + x^2 = 36-9

x^2 = 27

Take the square root of each side

sqrt(x^2) = sqrt(27)

x = sqrt(27)

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Given: AD = BC and AD || BC Prove: ABCD is a parallelogram.

maksim [4K]

Answer:

ABCD is a parallelogram

Step-by-step explanation:

Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a

parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC

1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2.

definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3.

alternate interior angles are congruent 4. AC ≅ AC 4.

reflexive property 5. △CAD ≅ △ACB 5. SAS congruency

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5 0

3 years ago

Read 2 more answers

What is the measure of z?

zzz [600]

Answer:

Please edit the question I can't see it completely

5 0

3 years ago

Plz help me this is about using pythagorean therom to find isosolize triangels side lenghths. It really easy 7th grade math. Ple

Andru [333]

It's an isosceles triangle so the height bisects the base making two right triangles with legs x/2 and y and hypotenuse √74.

(x/2)² + 7² = (√74)²

x²/4 + 49 = 74

x²/4 = 25

x² = 100

x = 10

Answer: C

7 0

4 years ago

Read 2 more answers

Sheldon also picks tomatoes from his garden. He picked 4 4/10 but 1.5 were rotten and had to be thrown away. How many kilograms

velikii [3]

Given:

Number of tomatoes Sheldon picks = $4\dfrac{4}{10}$ kg

Rotten tomatoes = 1.5 kg

To find:

How many kilograms of tomatoes were not rotten?

Solution:

Number of tomatoes Sheldon picks = $4\dfrac{4}{10}$ kg

= $\dfrac{4(10)+4}{10}$ kg

= $\dfrac{40+4}{10}$ kg

= $\dfrac{44}{10}$ kg

= $4.4$ kg

Rotten tomatoes = 1.5 kg

Remaining tomatoes which are not rotten is

Required tomatoes = Tomatoes Sheldon picks - Rotten tomatoes

= $4.4-1.5$

= $2.9$ kg

Therefore, the tomatoes which were not rotten is 2.9 kg.

8 0

3 years ago

The number 8,844 contains two sets of digits in which one digit is 10 times as great as the other. Find the values of the digits

Alecsey [184]

The first 8 (in the thousands location) has a value of 8,000 while the second 8 (in the hundreds place) is valued at 800. Similarly, the first 4 (in the tens location) has a value of 40 while the 4 in the units position is simply valued at 4.

5 0

3 years ago