Answer:
40°
Step-by-step explanation:
Supplementary angles add up to 180°. Complementary angles add up to 90°.
m∠1 + m∠2 = 180°
115° + m∠2 = 180°
m∠2 = 65°
m∠2 + m∠3 = 90°
65° + m∠3 = 90°
m∠3 = 25°
m∠2 − m∠3 = 65° − 25° = 40°
Since there is no image given, the perimeter is the sum of measurement of the sides of the triangle. Assuming that the triangle is equilateral. Then the perimeter of the triangle is equal to
P = x + x + x
P = 3x
P = 30 mm
Answer:
5 lawns is the answer don't forget to mark as brainliest!
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.
The value of given expression when m = 3 is 27
<h3><u>Solution:</u></h3>
Given expression is 
We have to evaluate the given expression for m = 3
To find for m is equal to 3, substitute m = 3 in given expression
From given expression,

Plug in m = 3 in above expression
------ eqn 1
We know that,
can be expanded as,

Applying this in eqn 1, we get

Simplify the above expression

Therefore, for m = 3 we get,

Thus value of given expression when m = 3 is found