All categories

2 years ago

Help please, also explain

Mathematics

2 answers:

olga55 [171]2 years ago

8 0

Firstly, It says that the two triangles are similar .

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

galina1969 [7]2 years ago

8 0

Answer:

A: 70

Step-by-step explanation:

Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.

Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.

Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.

Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.

You might be interested in

The Children's play area at the Community pool holds a total of 3185 gallons of water it takes 2.5 hours to fill the pool with 1

iren [92.7K]

Answer:

650 gallons after 1 hour

Unit rate:650gallons/hour

Step-by-step explanation:

We are given that

Total capacity of pool=3185 gallon

In 2.5 hours water pool fill=1625 gallon

We have to find how many gallons of water fill in the pool after 1 hour and unit rate.

Using unitary method

1625 gallons of water takes time to fill the pool=2.5 hours

1 gallon of water takes time to fill pool= $\frac{2.5}{1625}$ hours

3185 gallon of water takes time to fill the pool= $\frac{2.5}{1625}\times 3185$ hours

3185 gallon of water takes time to fill the pool=4.9 hours

1 hours , water fill in pool = $\frac{1625}{2.5}$ gallons

1 hours , water fill in pool=650 gallons

Unit rate: How many volumes of water fill in 1 hour.

Unit rate= $\frac{1625}{2.5}=650gallons/hour$

8 0

2 years ago

A cylinder has height of 10 millimeters and radius 12 millimeters.Find the a.volume and b. surface area.

Sholpan [36]

Answer:

A. Volume = 4,523.9 mm³ (cubic mm)

B. Surface area = 1,658.76 mm² (square mm)

Step-by-step explanation:

A. Lest's calculate the volume of the cylinder:

r = 12 mm, h = 10 mm

Volume = π * r² * h

Volume = 3.1416 * 12² * 10

Volume = 3.1416 * 144 * 10

Volume = 4,523.9 mm³

B. Let's calculate the surface area of the cylinder:

Surface area = 2π * r * h +2π * r²

Surface area =2π * 12 * 10 + 2π * 12²

Surface area = 6.2832 * 120 + 6.2832 * 144

Surface area = 753.98 + 904.78 = 1,658.76 mm²

8 0

2 years ago

In the following diagram, points C, A, and B are collinear. Use complete sentences to describe the sum of and .

Maru [420]

The sum of angles CAD and DAB is 180 degrees. This is because they are all on a straight line (because points CAB are colinear) and angles on a straight line add up to 180 degrees.

5 0

2 years ago

Read 2 more answers

Rudy measured an Italian restaurant and made a scale drawing. The scale of the drawing was 1 centimeter : 6 meters. In the drawi

vekshin1

So I’m assuming you’re saying that 1 cm=6 m so if the kitchen is 4 cm in the drawing it has to be scaled up by 6 for each centimeter. So 4*6=24 so the kitchen is 24 meters long. Hope this helps!

7 0

2 years ago

Find the value of x that makes the equation true: 7x = 70.

stich3 [128]

Answer: x = 10

Step-by-step explanation: 7x10 = 70

7 0

2 years ago

Read 2 more answers