Answer:
7/2 = m
Step-by-step explanation:
We can use cross products to solve
3 6
--- = ------
m 7
3*7 = 6*m
Divide each side by 6
21/6 = 6m/6
7/2 = m
First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.
m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
<em>Answer: 50°</em>
Answer:
92 mph
Step-by-step explanation:
Let the speed of the van travelling south
=
v
mph
The distance travelled by the car travelling north is
d
1
=
10
⋅
2.5
=
25
The distance travelled by the car travelling south is
d
2
=
v
⋅
2.5
=
2.5
v
The distance between the cars after
2.5
h
is
d
1
+
d
2
=
255
25
+
2.5
v
=
255
2.5
v
=
255
−
25
=
230
v
=
230
2.5
=
92
mph
The speed is
=
92
mph
Step-by-step explanation:
1 t=16/21
2.m=2
3.n=13/7
4.a=2
5.x=6/17
6.x=15
7.s=21/4
8. t=7/3
9. s=1
10. s=6/61
11. x=1/3
12. r=27/16
13. c=−1
14.m=9/5n
15. j=−117/58
