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2 years ago

What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem?

Mathematics

1 answer:

forsale [732]2 years ago

9 0

It’s b (OA= MA.) I took this quiz last week :)

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Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the

Virty [35]

Answer:

V1 = 60 km/h

V2 = 40 Km/h

Step-by-step explanation:

The speed of an object is defined as

Speed = distance / time

Let

V1 be the speed of the faster car

V2 be the speed of the other car

t1 the time it took for the first car to arrive

t2 the time it took for the second car to arrive

d1 the distance traveled by first car

d2 the distance traveled by second car

We know thanks to the problem that

V1 = V2 + 20 Km/h

t1 = t2 - 1 hour

d1 = d2 = 120 Km

d1 = V1 * t1

d2 = V2* t2

V1 * t1 = V2* t2

V1* t1 = (V1 -20)*(t1 +1)

The system of equations

(V1 -20)*(t1 +1) = 120

V1 * t1 = 120

120 + (120/t1) -20*t1 = 140

(120/t1) -20*t1 = 20

Which gives,

t1 = 2

This means

V1 = 60 km/h

V2 = V1 - 20 Km/h = 40 Km/h

6 0

2 years ago

Georgia, a florist, charges 10.95 per flower bundle plus a 15 delivery charge per order. If Charlie orders 8 bundles of flowers

Ivan

Georgia charges Charlie $102.60 in total.

5 0

3 years ago

Read 2 more answers

Point A is at (3, -8) and point B is at (7, 3). What is the midpoint of line segment AB?

allochka39001 [22]

Answer:

$(5, -5/2)$

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of $AB$ is $((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)$ .

So, the answer is $\boxed{(5, -5/2)}$ and we're done!

5 0

2 years ago

How do I factor 5n^2 +19n+12

trapecia [35]

I hope this helps you

3 0

2 years ago

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

fenix001 [56]

Answer:

Let us consider the expression:

$\frac{a^5\cdot b^6}{a^2\cdot b^9}$ (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

$a^{5-2}\cdot b^{6-9}$

$\Rightarrow a^{3}\cdot b^{-3}$ .

8 0

3 years ago

Read 2 more answers