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jeyben [28]
2 years ago
12

If m∠ABC = 53° and m∠ECD = 40°, which statement explains whether the AA similarity postulate can be used to determine whether ΔB

AC ~ ΔEDC?
Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.
Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.
Mathematics
1 answer:
Leno4ka [110]2 years ago
5 0

Answer:

Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.

Step-by-step explanation:

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762,508 expanded form using exponents
r-ruslan [8.4K]

762,508 in expanded form using exponents is given as:

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

<h3><u>Solution:</u></h3>

Given that we have to write 762, 508 in expanded form using exponents

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits

<h3><u>Write 762508 in Expanded form</u></h3>

Let us first find the place value of digits

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Place value of 7 = 700000

In 762508, 7 is in hundred-thousands place

Place value of 6 = 60000

In 762508, 6 is in ten-thousands place.

Place value of 2 = 2000

In 762508, 2 is in thousands place

Place value of 5 = 500

In 762508, 5 is in hundreds place

Place value of 0 = 0 x 10 = 0

In 762508, 0 is in tens place

Place value of 8 = 8

In 762508, 8 is in ones place

Therefore, the expanded form is given as:

700,000 + 60,000 + 2,000 + 500 + 0 + 8

<u><em>Using exponents we can write as,</em></u>

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

6 0
2 years ago
Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the
Vitek1552 [10]

Answer:

3 1/2

Step-by-step explanation:

6 0
2 years ago
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
Daniel [21]

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

0 0
2 years ago
It takes 45 minutes to drive to the nearest bowling alley taking city streets going
Savatey [412]

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

7 0
2 years ago
Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct
USPshnik [31]
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
6 0
2 years ago
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