Answer: For number 8, x=6. For number 9, x=7. For number 10, x=15
Step-by-step explanation:
#8:
Angle 16x-6 corresponds to the 90 degree angle. Therefore, they are equal.
16x-6=90
Add six: 16x=96
Divide by 16: x=6
#9
Angle 12x-4 and angle 10x+10 correspond. Therefore, they are equal.
12x-4=10x+10
Subtract 10x: 2x-4=10
Add four: 2x=14
Divide by 2: x=7
#10
Angles 7x and 5x+30 are alternate exterior angles. Therefore, they are equal.
7x=5x+30
Subtract 5x: 2x=30
Divide by 2: x=15
Answer:
6.93 meters
Step-by-step explanation:
Use similar triangles to solve
if the tree shadow is 26.05m long and she stands 20.6 meters away from the tree, so her shadow meets the tip, her shadow is 26.05-20.6 = 5.45
height of Emily divided by the shadow of Emily must equal the height of the tree divided by the shadow of the Tree
1.45 /5.45=x/26.05
26.05 x (1.45/4.45)=x
x= 6.93
Let cost of Emma's phone = x
Given that cost of Sophie's phone = 640
Then ratio of their phones cost will be x:640 or x/640
Given that ratio of their phones cost is 7:8 or 7/8
So both ratios will be equal.
x=560
So the new ratio of the cost of their phones will be 560:640
Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.
So let that decreased amount is k then we will get equation :
11(560-k)=9(640-k)
6160-11k=5760-9k
6160-5760=11k-9k
400=2k
200=k
Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.
Answer:
It is 14.45 percent
.
Step-by-step explanation:
Explanation:
The first day is independent from the day before. Therefore the first day probability (of rain) is 20 percent.
The second day (depends on the previous day) rainfall probability is 85 percent.
Finally, the third day (it must be rainy to satisfy the total probability) rainfall probability is 85 percent.
The probability of having three consecutive days which are rainy:
P(all rainy)
=
0.20
×
0.85
×
0.85
=
0.1445
or 14.45 percent.
Answer:
Step-by-step explanation:
12 I think