Answer:
Step-by-step explanation:
a). Ratio of OP and RT = 
= 
= 
b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.
OQ = 
OQ = 15 cm
c). m∠P = m∠T = 60°
d). m∠Q = m∠S
By applying angle sum theorem in ΔRST,
m∠R + m∠S + m∠T = 180°
26° + m∠S + 60° = 180°
m∠S = 180° - 86°
= 94°
Therefore, m∠Q = m∠S = 94°
As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
Answer:
$4.25
Step-by-step explanation:
21.25/5 = 4.25
Answer:
-$1000
Step-by-step explanation:
(3800 - x)*3.5/100 = (3800 + x)*6/100
(3800 - x)7/200 = 3/50(3800 + x)
3800 - x = 12/7(3800 + x)
3800 - x = 45600/7 + 12x/7
(19x + 19000)/7 = 0
19x = -19000
x = -$1000.
The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.
<span>(Y+2) at y=-4
First: You will plug in your y
Your equation should look like: -4+2
Next: You will take 2 and subtract the 4
You will get: -2 as your answer
HOPE THIS HELPS! ^_^</span>
