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meriva
3 years ago
10

What else would need to be congruent to show that triangle ABC is congruent to triangle DEF by ASA?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
8 0
ASA

answer
D. m<B = m<E
MAXImum [283]3 years ago
7 0

Answer:

Option D. ∠B ≅ ∠E

Step-by-step explanation:

In ΔABC and ΔDEF,

Measure of side AB = Measure of side DE = 10 units

∠A ≅ ∠ D ≅ 45°

Now we have to prove ΔABC ≅ ΔDEF by the property of congruence ASA.

Since one angle and one side are equal.

So other angle based on sides AB and DE will be the adjacent angles ∠B and ∠E

Therefore, Option D. ∠B ≅ ∠E will be the answer.

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

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3 years ago
How do you solve for a g=ca
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3 years ago
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What is the slope intercept form written in equation form of this graph?
serg [7]
Y=2x+4
the y intercept is 4 and the slope is 2/1
4 0
3 years ago
I added a screenshot of my question
Anastasy [175]
<h2>Answer:</h2>

y=\frac{1}{3}x+4

<h2>Explanation:</h2>

Slope-intercept form:

What the variables mean:

Y=the y axis

m=the slope

x=the x-axis

b=the y intercept (the point on the line that crosses the y-axis)

To Calculate the Slope:

1. Find any 2 points on the line

2. The number of units the second point is above the first is the numerator

3. The number of units the second point is to the right of the first is a denominator

(Please see the picture attached)

y=\frac{1}{3}x+b

To Find the Y-Intercept:

1. Find the point on the line that crosses the y-axis

(Please see the picture attached)

y=\frac{1}{3}x+4

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4 years ago
Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcod
EleoNora [17]

Answer:

10k.

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1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

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2 years ago
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