x = 45°
Solution:
Given data:
Measure of larger arc = 152°
Measure of smaller arc = 62°
<em>If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>
⇒ x = 45°
The value of x is 45°.
Answer: y=1/2x-17
Step-by-step explanation:
Answer:
b = $4000
Step-by-step explanation:
Let b represent the bonus amount.
Then the bonus, b, less the three deductions, is represented by
b - 0.30b - 0.30b - 025b, and this comes to $600. Find the value of b.
b - 0.85b = $600, or
0.15b = $600
Then b = $4000
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
