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2 years ago

Which of the following theorems verifies that triangle STU is congruent to triangle XYZ

Mathematics

1 answer:

Leni [432]2 years ago

4 0

Answer:

B. HL

Step-by-step explanation:

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Gemma recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was 16 miles per

DochEvi [55]

first speed --- x mph

return speed -- x+16 mph

6/x + 6/(x+16) = 1

times each term by x(x+16)

6(x+16) + 6x = x(x+16)

x^2 + 4x - 96 = 0

(x-8)(x+12) = 0

x = 8 or x is a negative

her first speed was 8 mph

her return speed was 24 mph

check:

6/8 + 6/24 = 1 , that's good!

8 0

2 years ago

The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin

quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

5 0

3 years ago

Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x

jeka57 [31]

The correct answer to this question is C. equation, –3

The equation is
y = 9x - 4x^2
y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4

So, based from the table show, the steepest rate of change is C. equation, –3

4 0

3 years ago

Rylan is hiking in Death valley. He starts at an elevation of 250 feet above sea level and hikes to an 2300 above sea level. How

aalyn [17]

Answer:

250+2300=2350

8 0

3 years ago

Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After

Fantom [35]

One is going 52 and the other 64
2 (x)+2 (x+12)=232 and solve

5 0

3 years ago

Read 2 more answers