Answer:
1. BE = 15
2. ES= 11
3. P of BEST = 52
4. a. angleB = 120°
b. angleE = 60°
c. angleS = 120°
d. angleT = 60°
Step-by-step explanation:
4c-5 = c+10
4c-5+(-c) = c+10+(-c)
3c-5 = 10
3c-5+5 = 10+5
3c = 1
3c/3 = 15/3
BE = 4c - 5
= 4(5)-5
= 20-5
2b+3 = b+7
2b+3+(-b) = b+7+(-b)
b+3 = 7
b+3-3 = 7-3
ES = b+7
= 4+7
BE = 4c-5 ST = c+10
= 4(5)-5 = 5+10
= 20-5 ST = 15
BE = 15
BT = 2b+3 ES = b+7
= 2(4)+3 = 4+7
= 8+3 ES = 11
BT = 11
P = BE+BT+ST+ES
= 15+11+15+11
BEST = 52
angleT+angleS = 180°
a+10+2a+20 = 180°
3a+30 = 180°
3a = 180-30
3a = 150
3a/3 = 150/3
Substitution: angleB = angleS = 2a+20
= 2(50)+20
= 100+20
angleB = angleS = 120°
Substitution: angleE = angleT = a+10
= 50+10
angleB = angleS = 60°
➣ Solve for c
➣ Solve for
➣ Solve for b
➣ Solve for the perimeter
➣ Solve for a
a.
b.
c.
d.
#CARRYONLEARNING
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
1. BE = 15
2. ES= 11
3. P of BEST = 52
4. a. angleB = 120°
b. angleE = 60°
c. angleS = 120°
d. angleT = 60°
Step-by-step explanation:
1. Find the value of c
4c-5 = c+10
4c-5+(-c) = c+10+(-c)
3c-5 = 10
3c-5+5 = 10+5
3c = 1
3c/3 = 15/3
c = 5
Substitute the value of x
BE = 4c - 5
= 4(5)-5
= 20-5
BE = 15
2. Find the value of b
2b+3 = b+7
2b+3+(-b) = b+7+(-b)
b+3 = 7
b+3-3 = 7-3
b = 4
Substitute the value of b
ES = b+7
= 4+7
ES = 11
3. Substitute those value of c & b you get in item 1 & 2; c = 5, b = 4
BE = 4c-5 ST = c+10
= 4(5)-5 = 5+10
= 20-5 ST = 15
BE = 15
BT = 2b+3 ES = b+7
= 2(4)+3 = 4+7
= 8+3 ES = 11
BT = 11
PERIMETER OF A PARALLELOGRAM
P = BE+BT+ST+ES
= 15+11+15+11
BEST = 52
4. Find the value of a
angleT+angleS = 180°
a+10+2a+20 = 180°
3a+30 = 180°
3a = 180-30
3a = 150
3a/3 = 150/3
a = 50
a. angleB is congruent to c. angleS
Substitution: angleB = angleS = 2a+20
= 2(50)+20
= 100+20
angleB = angleS = 120°
b. angleE is congruent to d. angleT
Substitution: angleE = angleT = a+10
= 50+10
angleB = angleS = 60°
Geometry
1. If
= 4c - 5 and
= c + 10, how long is
?
➣ Solve for c
➣ Solve for![\sf \overline{BE} \sf \overline{BE}](https://tex.z-dn.net/?f=%5Csf%20%5Coverline%7BBE%7D)
2. If
= 2b + 3 and
= b + 7, how long is
?
➣ Solve for b
➣ Solve for![\sf \overline{ES} \sf \overline{ES}](https://tex.z-dn.net/?f=%5Csf%20%5Coverline%7BES%7D)
3. Given the lengths in items 1 and 2, what is the perimeter of BEST?
➣ Solve for the perimeter
4. If
= a + 10 and
= 2a + 20, find the measure of the following angles:
➣ Solve for a
a.![\sf m \angle B \sf m \angle B](https://tex.z-dn.net/?f=%5Csf%20m%20%5Cangle%20B)
b.![\sf m \angle E \sf m \angle E](https://tex.z-dn.net/?f=%5Csf%20m%20%5Cangle%20E)
c.![\sf m \angle S \sf m \angle S](https://tex.z-dn.net/?f=%5Csf%20m%20%5Cangle%20S)
d.![\sf m \angle T \sf m \angle T](https://tex.z-dn.net/?f=%5Csf%20m%20%5Cangle%20T)
#CARRYONLEARNING