Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete we need point P and point Q.
let us assume P is at (3,1) and Q is at (-2,4)
To find the coordinate of the point that divides a line segment PQ with point P at and point Q at in the proportion a:b, we use the formula:
line segment PQ is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:
-t=9(t-10)
-t=9t-90
90=9t+t
90=10t
90/10=t
9=t
Answer:
$3.30
Step-by-step explanation:
2.60*6= $15.60 beads per necklace
35.40-15.60= $19.80 total pendant
19.80/6= $3.30 per pendant
Answer:
angle G = 64.9 is because the sum of interior angle is 180
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now