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
_____
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.
Let's solve this question by step by step.
Layout equation.
−104=−8(k+8)
Step 1: Simplify both sides of the equation.
−104=−8(k+8)
−104=(−8)(k)+(−8)(8)(Distribute)
−104=−8k+−64
−104=−8k−64
Step 2: Flip the equation.
−8k−64=−104
Step 3: Add 64 to both sides.
−8k−64+64=−104+64
−8k=−40
Step 4: Divide both sides by -8.
-8k/-8=-40/-8
The answer for this problem is k=5.
Answer:
41%
Step-by-step explanation:
The table shows that 36 of the 88 students that like traveling out of state do not like camping. That percentage is ...
36/88 × 100% ≈ 41%
Answer:
±35
Step-by-step explanation:
sqrt(49*25)=sqrt(49)*sqrt(25)=±7*±5=±35
10 months. First you subtract what is already in possession from what they need: $1450-$1200= $250 Then you would divide how much money is left to earn by how much money is gained every year: $250 divided by $25= 10 months Hope this helps!!