Answer:
Step-by-step explanation:
<u>∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore</u>
- ΔABC ~ ΔEFC by AA similarity
<u>Ratio of corresponding sides is same. Get the equation below and solve for x:</u>
- EC/AC = CF/CB
- x/17 = (16+22)/16
- x/17 = 38/16
- x/17 = 19/8
- x = 17*19/8
- x = 40.375
Answer:
3/7 chance
Step-by-step explanation:
There are 3 numbers that are even out of the 7 numbers on the spinner.
This means that there is a 3/7 chance spinning an even number.
<h3>
First Method:</h3>
<u>Using cosine rule</u>:
<h3>
Second Method:</h3>
<u>First find XY using sine rule</u>:
Then use Pythagoras Theorem:
⇒ XY² + YZ² = XZ²
⇒ (6)² + YZ² = 12²
⇒ YZ² = 144 - 36
⇒ YZ = √108
⇒ YZ = 6√3
⇒ YZ = 10.4
Answer:
d=1/2
Step-by-step explanation:
9(8d-5)+13=12d-2
1) Use the distributive property:
72d-45+13=12d-2
2) Combine alike terms:
72d-32=12d-2
3) Add 32 to both sides:
72d=12d+30
4) Subtract 12d on both sides:
60d=30
5) Divide both sides by 60:
d=30/60
6) Simplify 30/60 to 1/2
Answer:
Horizontal line at 2, x(-3,-2,-1,0,1,2,3), y(2)
Step-by-step explanation:
The function has no slope.
