Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.
The sum of three angles should add up to 180°.
148° + 11° + K = 180°
Where k is the missing angle.
Solve for K.
Combine like terms.
148° + 11° + K = 180°
159° + K = 180°
Subtract both sides by 159°.
159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°
So, the missing length is 21°.
The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.
The number of outcomes is available in Boulder will be
→ 2 x 2
→ 4
The number of outcomes is available in Sarasota will be
→ 3 x 2
→ 6
The number of outcomes is available in Boulder and Sarasota will be
→ 4 + 6
→ 10
More about the permutation and the combination link is given below.
brainly.com/question/11732255
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An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.
1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46
So we have two possibilities: either #2 or #4. Find least possible pair of integers.
x= first integer
x+1= second integer
x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5
Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.
Hope this helps! :)
y=2/3x-2 hope this helps!
A rate<span> is a </span>ratio<span> between two quantities of </span>different<span> units, likes miles and hours, or dollars and gallons.</span>
