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devlian [24]
3 years ago
11

There are 90 seniors in a high school. 60 of the seniors take mathematics, 35 of them take science and 15 take both classes. How

many seniors take none of these two classes?
Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0

Answer:

35 seniors don't take any of them

Step-by-step explanation:

since 15 of them take both classes and you want to find the ones that take none of then you want to subtract 15 from both the 60 and the 35, then add those sums to get 55, then you want to subtract 55 from 90 to get your final answer. 35 students don't take any of the classes

hope this helps :)

zysi [14]3 years ago
4 0

Answer: The answer is 10 students.

Step-by-step explanation: Well first you know 15 take both so you can just subtract 15 from one of the numbers because the same student does not need to be counted twice. I chose to do 35-15 which equals 20. Then you do 60+20 to get 80. Lastly you subtract 80 from 90 to get 10.

I'm gonna go ahead and say I may not be correct because I don't know everything, but I answered to my best ability and got 10.

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C.) the length of the arc it intercepts is the same as the length of the radius

Step-by-step explanation:

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How do you find the area of a triangular prism
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Answer:The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height. The formula A=lw is used to find the area of the three rectangular side faces, where A = area, l = length, and w = width.


Plugging in the measurements that are given in the net, calculate the area of each face. Remember to use the correct area formula for the triangles


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3 years ago
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Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Svetllana [295]

Vertical angles are angles which are <u>opposite</u> to each other and have <u>equal</u> measures. With respect to the given proof, <em>Angie</em> completed the proof <em>incorrectly</em>.

<em>Two</em> angles are said to be <u>vertical</u> when they are <em>opposite</em> to one another and have <em>equal</em> measures. However, two angles are <u>supplementary</u> if they <u>add</u> <u>up</u> to 180°.

So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:

1. Segment GH intersects segment AB at K (1. Given)

2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)

   m∠GKB + m∠HKB = 180°   (2. Definition of Supplementary Angles)

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB  (3. Substitution Property)

4. m∠AKG = m∠HKB (4. Subtraction Property)

Note:

  • Step 2 should be Angle Addition Postulate, since:

   m∠AKG + m∠GKB = 180°

   m∠GKB + m∠HKB = 180°

So that;

   m∠AKG + m∠GKB = m∠GKB + m∠HKB

<u>Subtract</u> m∠GKB from both sides to have;

m∠AKG = m∠HKB (which is the proof for step 4)

Therefore, <u>Angie</u> completed the poof <em>incorrectly</em> because of the properties of steps 2 and 4.

A diagram is herewith attached for more clarifications.

Visit: brainly.com/question/24529637

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First you have to put like terms together:
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What you got is correct as mine is too. I hope this formula helps for future problems:
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