(<em>q = quarters, n = nickles</em>)
<u>First, create your system of equations:</u>
25q + 5n = 535 cents
n = 2q - 5
<u>Second, Substitute for n:</u>
25q + 5(2q - 5) = 535
<u>Simplify:</u>
25q + 10q - 25 = 535
<u>Simplify to solve for q:</u>
35q=560
q=16
<u>Next, solve for n by plugging the value of q back into the equation:</u>
n=2q - 5
n=32-5
n=27
There would be 16 quarters and 27 nickles.
<em>Hoped this helped!</em>
Answer:
38. <1 = , <2 = , <3 =
39. <1 = , <2 = , and <3 =
Step-by-step explanation:
38. Sum of angles in a triangle =
So that;
38 + 110 + <2 =
148 + <2 =
<2 = - 148
<2 =
Thus,
<1 = (alternate angle principle)
<3 =
Therefore;
<1 = , <2 = , <3 =
39. <2 = (alternate angle principle)
So that;
sum of angles in a triangle =
<1 + <2 + 81 =
<1 + + 81 =
<1 + 109 =
<1 = - 109
=
<1 =
<3 =
<1 = , <2 = , and <3 =
A + B = 307775
A = B + 50885
B + 50885 + B = 307775
2B + 50885 = 307775
2B = 307775 - 50885
2B = 256890
B = 256890/2
B = 128445 <=== what governor of state B made
A = B + 50885
A = 128445 + 50885
A = 179330 <=== what governor of state A made
To find the measure of ∠D, we need to find the measure of ∠C.
Find the measure of ∠C using the sum of interior angles in a triangle. The sum of interior angles in a triangle is 180°
∠C + ∠A + ∠B = 180°
∠C + 40° + 81° = 180°
∠C = 180° - 40° - 81°
∠C = 59°
The measure of ∠C is 59°
Find the measure of ∠D by supplementary angles property
∠C, ∠D , ∠E are supplementary angles. If the three angles add together, the result is 180°
∠D + ∠C + ∠E = 180°
∠D + 59° + 25° = 180°
∠D = 180° - 59° - 25°
∠D = 96°
The measure of ∠D is 96°
They are not coplanar because D is not on the same plane.
If you look at the plane made by the front face, it includes points A, B, E, F, J and H. However, C and D are on a different plane made by the back portion of the figure.