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4 years ago

If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?

Mathematics

2 answers:

suter [353]4 years ago

7 0

Answer:

Step-by-step explanation:

If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.

Therefore, if we rotate the diagram, then also the angles will remain the same.

zysi [14]4 years ago

5 0

Cab and gef. Ive had this problem too on a test

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What percent of 106 is 67?

Eva8 [605]

Answer:

63.21%

Step-by-step explanation:

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3 years ago

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123.7 cm= How many meters?

Oduvanchick [21]

123.7 cm = 1.237 meters

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3 years ago

Find the distance from the point (8, 4) to the line y =<br> x+ 2.

natulia [17]

Answer:

The distance is $3\sqrt{2}\ units$

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=x+2

the slope m is equal to

m=1

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

we have

m=1 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=-1

step 3

With m=-1 and the point (8,4) find the equation of the line

y-y1=m(x-x1)

substitute

y-4=-(x-8)

y=-x+8+4

y=-x+12

step 4

Find the intersection point lines y=x+2 and y=-x+12

y=x+2 -----> equation A

y=-x+12 ----> equation B

Adds equation A and equation B

y+y=2+12

2y=14

y=7

Find the value of x

y=x+2 -----> 7=x+2 -----> x=5

The intersection point is (5,7)

step 5

Find the distance between the point (8,4) and (5,7)

we know that

The distance from the point (8,4) to the line y=x+2 is equal to the distance from the point (8,4) to the point (5,7)

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d=\sqrt{(7-4)^{2}+(5-8)^{2}}$

$d=\sqrt{(3)^{2}+(-3)^{2}}$

$d=\sqrt{18}$

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

4 years ago

Complete the square to transform the quadratic equation into the form (x –p)2= q.X2-8x -10 = 18

spayn [35]

Answer:

$(x-4)^{2}=44$

Step-by-step explanation:

we have

$x^{2}-8x-10=18$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-8x=18+10$

$x^{2}-8x=28$

Complete the square . Remember to balance the equation by adding the same constants to each side

$x^{2}-8x+16=28+16$

$x^{2}-8x+16=44$

Rewrite as perfect squares

$(x-4)^{2}=44$

8 0

4 years ago

A cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. If one is chosen at ra

Shtirlitz [24]

Answer:

chocolate chips

Step-by-step explanation:

The p denotes here the probability which is given below;

Given that

There is 4 oatmeal raisin

1 sugar

9 chocolate chips

And, 6 peanut butter cookies

So based on the above information, the probability when the one is chosen would be of chocolate chips as it contains the hight value in the cookie jar

So the same is to be selected

6 0

3 years ago