The measure of all the angles of triangle are 27.5° , 110° and 42.5°.
The angle sum property states that the sum of angles in a triangle is 180°. That is if the angles of a triangle are A,B and C then
angle A + angle B + angle C = 180° (1)
According to the question,
Let the smallest angle be x°
Then the second angle will be 4 times the other on which is 4x°
And the third angle will be 15° greater than the smallest one which will be = 15° + x°
Now putting all the required values in equation (1) we get,
x° + (4x°) + (15° + x°) = 180°
6x° = 180° - 15°
x° = 165°/6
x° = 27.5°
Thus the angles will be,
Smaller angle = x° = 27.5°
Other angle = 4x° = 4*27.5° = 110°
Third angle = 15° + x° = 15° + 27.5° = 42.5°
Learn more about the angle sum property here : brainly.com/question/21099419
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Answer:
9 nickels
Step-by-step explanation:
Changing a quarter to a nickel decreases the value of the sum by $0.20.
When all quarters are changed to nickels and vice versa, the total value will change by the number of excess quarters. That number is ...
($5.95 -3.35)/(0.20) = 2.60/0.20 = 13
The remaining change is made up of equal numbers of nickels and quarters. That amount of change is ...
$5.95 -13·0.25 = 2.70
A quarter and nickel together total $0.30, so there must be $2.70/$0.30 = 9 such pairs of coins.
There are 9 nickels and 22 quarters.
_____
If you don't want to reason through the problem, you can write equations. Let n and q represent the numbers of nickels and quarters, respectively. Then you have ...
0.05n + 0.25q = 5.95
0.25n + 0.05q = 3.35
Multiplying the second equation by 5 and subtracting the first gives ...
5(0.25n +0.05q) -(0.05n +0.25q) = 5(3.35) -(5.95)
1.20n = 10.80
10.80/1.20 = n = 9
The number of nickels is 9.
Answer:
It should be A
Step-by-step explanation:
I hope this helps!
Answer:
Step-by-step explanation:
arithmetic sequence is a sequence , if difference between any two consecutive terms is same for all.
difference of first two terms: -9.7-(-12.3)=2.6
difference of third and seconf term: -7.1-(-9.7)=2.6
and so o, as difference between any of the consecutive terms is same i.e 2.6, the given sequence is arithmetic.
The answer is here
let be L the length of each ramp
so the <span>the length of the entire dog walk, including both ramps is D, such that
</span>D=L + L + d, where d=12ft
L=hypotenus, and sin30° = 4.5ft x L so L= sin30° / 4.5= 1/2x 4.5=2.25ft
D=2.25ft+2.25ft +12ft=16.5ft
