All categories

4 years ago

geometry question(s) on triangle similarity, please help, i’d really appreciate it! image is included.

Mathematics

1 answer:

Sergio [31]4 years ago

5 0

1. D. The triangles have two given sides with an included angle, so the postulate would be SAS.

2. A. The triangles have three given sides, so the postulate would be SSS.

You might be interested in

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

3 years ago

6) If the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume?

disa [49]

Volume is space inside, the tower isnt a right cylinder so technically u cant find the volume with the standard formula

8 0

4 years ago

Is the equation a literal equation t+8y=7

ElenaW [278]

Answer:

Step-by-step explanation:

8 0

3 years ago

A persons weekly pay is directly proportional to the number of hours worked. Shawn's pay is $123.00 for 20 hours of work. Find t

Crank

123 divided by 20 which equals 6.15 and then multiply 6.15 by 31 and the answer will be $190.65

7 0

3 years ago

Read 2 more answers

Find constants a and b so that the minimum for the parabola f(x)=x^2+ax+b is at the point (6,7)

Blizzard [7]

To find the minimum, take the derivative of the function and equate to zero:

f(x) = y = x² + ax + b
dy/dx = 2x + a = 0
Substitute x =6:
a = -2x
a = -2(6)
a = -12

Then, substitute x = 6, y = 7 and a = -12 to find b.

7 = (6)² -12(6) + b
7 + 36 = b
b = 43

Thus, a = -12 and b = 43

4 0

3 years ago