Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard
Step-by-step explanation:
First, let's see what the problem is giving us:
-The variable X will represent the number of weeks it will take Damon to save the money he needs.
- Damon has $40
- Damon is going to safe $20 weekly
- The snowboard costs $160
Therefor:
Our equation will be: $40 + $20X = $160
Step 1
We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.
40 - 40 + 20X = 160 - 40
This will let us with 20X = 120
Step 2
We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.
20X/20 = 120/20
Therefore: X=6
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Answer:
I dont know if I can answer if I don't have more information then the question
B, (0,3)
If you plot each point this is the only one that touches the line.
Its 108 because the triangle is acute so all angle are less than or equal to 90 and i did 54+54+72=180 ant the measurement of the exterior angle is 108
Answer: 80°
Step-by-step explanation:
Since, If two secants intersect outside the circle, then the measure of the angle formed is one half of the difference of the measures of the intercepted arcs.
In the given diagram,
Chord VS and chord UT are intersecting externally,
Also, ∠SPT is the angle formed by the intersection of these chords.
Thus, by the above property,
![\frac{1}{2}[m(\widehat{VU})-m(\widehat{ST})]=m\angle SPT](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Cwidehat%7BVU%7D%29-m%28%5Cwidehat%7BST%7D%29%5D%3Dm%5Cangle%20SPT)
![\implies \frac{1}{2}[m(\widehat{VU}) - 20^{\circ}]= 30^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Cwidehat%7BVU%7D%29%20-%2020%5E%7B%5Ccirc%7D%5D%3D%2030%5E%7B%5Ccirc%7D)
⇒ Measurement of the arc VU= 80°.
