Answer:D= 60miles
Step-by-step explanation:
Speed=distance/time
Distance = speed× time
D=(45-30)× 4
D= 15×4
D= 60miles
<span>the abstract science of number, quantity, and space.
</span>
Answer:
AC
Step-by-step explanation:
∆ABC ~ ∆DEF
AB/DE
∆ABC ~ ∆DEF
AC/DF
Answer: AC
The answer is 12 a this is how to solve it:
5a+3a+14+4(a-6)+10
5a+3a+14+4a-24+10
8a+14+4a-24+10
12a+14-24+10
12a-10+10
12a
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36