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3 years ago

Triangle ABC is going to be reflected over the line y = X.

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

(-7, 1)

Step-by-step explanation:

Coordinate rules :]

Reflection over x-axis -- (x, y) -> (x, -y)

Reflection over y-axis -- (x, y) -> (-x, y)

Reflection over y = x -- (x, y) -> (y, x)

Reflection over y = -x -- (x, y) -> (-y, -x)

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Solve the equation for the variable, show your work 11x - 16 = -49 x = _____

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

<h2>Given,</h2>

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

$= > x = \frac{ - 33}{11}$

=> x = -3 (Ans)

5 0

3 years ago

Read 2 more answers

The probability a person is infected by a certain cold virus is 0.2. If a random sample of 12 people is taken, what is the proba

inna [77]

Answer:

If 0.2 = 20%, The probability that 1 person will be infected is 100%, according to theory.

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3 years ago

3. From noon to midnight, how many times do the hands of a clock form a straight line

melomori [17]

Step-by-step explanation:

The hands of a clock point in opposite directions ( in the same straight line) 11 times in every 12 hours.

4 0

2 years ago

Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.

GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = $x$

m∠D = $2x-20$ °.

Now, let m∠A = m∠B = $y$

So, m∠C = m∠A + 30° = $y+30$

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B + m∠C = 180

$y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50$

Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

$2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50$

Therefore, m∠F = 50°

m∠E = 50° and

m∠D = $2x-20=2(50)-20=100-20=80\°$

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

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3 years ago

Put together, Albert and Jason have

Anon25 [30]

Answer:

Step-by-step explanation:

you have to subtract 110 by 42 then when you have that number you divide it by two. then you add 42 to one of the twin numbers. That will be how many jason has, and albert will have the other number you kept the same.

7 0

3 years ago