Answer:
3) 16.2
Step-by-step explanation:
The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:
CB/CD = CF/CA
CB = CD·CF/CA = 7.2·21.6/9.6
CB = 16.2
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When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.
Answer:
#1
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Answer:
M = 29
27.31838095 = n
16.8511209 = p
Step-by-step explanation:
M = 180 -33-118 = 29
We can use the rule of sines
sin A sin B sin C
------------ = ---------- = ------------
a b c
sin 118 sin 29
------------ = ----------
n 15
Using cross products
15 sin 118 = n sin 29
Divide by sin 29
15 sin 118 / sin 29 = n
27.31838095 = n
sin 33 sin 29
------------ = ----------
p 15
Using cross products
15 sin 33 = p sin 29
Divide by sin 29
15 sin 33 / sin 29 = p
16.8511209 = p
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
