Rearrange x = 3g + 2 to make g the subject
1 answer:
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Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because
2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus
Answer:
<em>11 years</em>
Step-by-step explanation:
This is a case of exponential decay.
Let n = number of years; p = population after n years; a = initial population; r = rate of decay
p = a(1 - r)^n
Now we substitute the numbers we know leaving n as the only unknown.
100 = 250(1 - 0.08)^n
100 = 250(0.92)^n
Divide both sides by 250.
0.4 = 0.92^n
Take the log base ten of each side.
log 0.4 = log 0.92^n
Use log rule: log a^n = n * log a
log 0.4 = n * log 0.92
Divide both sides by log 0.92
n = 10.989
Answer: 11 years