Which of the following statements is the converse of the statement "if each of two angles has a measure of 28 degrees, then the two angles are equal in measure"?
1. if each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures.
2. if each of two angles does not have a measure of 28 degrees, then the two angles have equal measures.
3. if two angles have equal measures, then the measure of each is 28 degrees.
4. if two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees.

  3.  If two angles have equal measures, then the measure of each is 28 degrees

Step-by-step explanation:

For an implication if p then q, the converse is if q then p.

Here, we have the clauses ...

  p = each of two angles has a measure of 28°

  q = the two angles are equal in measure

So, the converse is written as ...

  If two angles are equal in measure, each has a measure of 28°.

This statement most closely matches statement 3.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.