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patriot [66]
3 years ago
14

Which theorem is correct

Mathematics
2 answers:
kogti [31]3 years ago
5 0

Answer:

The SSS theorem

Step-by-step explanation:

Aleks [24]3 years ago
5 0

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since <u>AB and CD were shown to be congruent in the image</u>, and <u>AC and CA are congruent because they're shared</u>. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know <u>∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel</u>.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

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Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is
Margarita [4]

Answer:

Its length is 37.5 cm.

Step-by-step explanation:

If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So

The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.

So

\frac{15}{10} = \frac{l}{25}

10l = 25*15

Simplifying by 10.

l = 2.5*15 = 37.5

Its length is 37.5 cm.

7 0
3 years ago
Through:(-1,-5), slope=5
Travka [436]
What exactly are you looking for?

7 0
3 years ago
Find the total surface area of this cone.<br> leave your answer in terms of pi<br> R=3<br> L=4
Yuliya22 [10]

Answer:

total surface area of cone is πr (r+l)

22/7 x 3 (3+4)

22/7*3 (7)

22 x 3 ( as 7 that was divided by 22 was cut out with 7 in the bracket)

hence,

TSA of cone = 66pi

8 0
3 years ago
What does it mean if u have a number in front of a square root?
netineya [11]
That means it's a surd
5 0
3 years ago
Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​
timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

5 0
3 years ago
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