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nevsk [136]
2 years ago
16

Is ΔWXZ ≅ ΔYZX? Why or why not? Yes, they are congruent by SAS. Yes, they are both right triangles. No, the triangles share side

XZ. No, there is only one set of congruent sides.

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
9 0
I will attached the picture of what you are talking about here. The answer for this problem is: Yes, that they are congruent by SAS. Meaning that the triangles are congruent if their included angles and any pair of corresponding sides are equal in both triangles. In this case, the sides are both 21 cm and this will make the angle equal for both triangles, so that is why they are congruent.

Masja [62]2 years ago
8 0
A) Yes, they are congruent by SAS.
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Write three numerical expressions that are equivalent to (0.0004) . (0.005)
yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}

Similarly,

0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}

Therefore,

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}

Therefore, third equivalent numerical expression is:

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

8 0
2 years ago
While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of bloo
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Answer:

501.57g  

Step-by-step explanation:

g=1.06×473.176

5 0
2 years ago
Read 2 more answers
marco has a piece of wood that measures 9 x 1/10 6 x 1/100 4 x 1/1000 meter. how can this measurement be written as a decimal?
Darina [25.2K]
Based on the given values above, this is how the measurements can be written as a decimal.
Firstly, we need to convert the fractions into decimals first:
a. 1/10 is 0.1
b. 1/100 is 0.01
c. 1/1000 is 0.001
Next, we multiply this to their corresponding numbers given:
a. 9 x 0.1 is 0.9 meter
b. 6 x 0.01 is 0.06 meter
c. 4 x 0.001 is 0.004 meter
Therefore, the measurements of the piece of wood that Marco has are: 0.9, 0.06 and 0.004 meters. Hope this answer helps.
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2 years ago
Maridel wants to find out how many of her classmates plan to come to the next football game. There are 800 students in her schoo
suter [353]

Answer:

Maridel wants to find out how many of her classmates plan to come to the next football game. There are 800 students in her school. She selects a sample of the population by putting the names of every student into a bag and drawing out 100 names.

Which statement(s) describe her sampling method? Check all that apply.

A) Her method will produce a biased sample.

<u>B) Her method will produce a valid sample.</u>

<u>C) Her method will produce a random sample.</u>

<u>D) Her method will produce a representative sample.</u>

E) Her method will produce an invalid sample.

Step-by-step explanation:

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The answer is B. 3 feet
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