Answer:
135 degrees
Step-by-step explanation:
- Angle CBD is the sum of angle ABC and angle ABD, so we find these first
- An Isosceles triangle has 2 equal sides and 2 equal angles
- Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
- Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
- So knowing that angles of triangle add up to 180, then
- Now we do the next triangle to get ABD
- Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
- So knowing that angles of triangle add up to 180, then
- Now we said, angle CBD is the sum of angle ABC and angle ABD, so
Answer:
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Step-by-step explanation:
1. Let's review all the information provided to us to answer the question correctly:
∠WXY and ∠YXZ are supplementary angles
m∠WXY=75°
2. Prove : m∠YXZ=105°
Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Answer:
(x-7) (x^2-5)
Step-by-step explanation:
x^3-7x^2-5x+35
Factor out an x^2 from the first two terms and -5 from the last 2 terms
x^2 (x-7) -5(x-7)
Factor out (x-7)
(x-7) (x^2-5)
1. 3x-5<19
3x-5+5<19+5
3x<24
3x/3<24/3
x<8
2. -2x+12<-4
-2x+12-12<-4-12
-2x<-16
-2x/-2>-16/-2
x>8
3. Because the numbers are positive when divided.
4. The inequality sign is reversed because the 2nd to last step is divided by by a negative number. (This is also the same for multiplication)
5. -7d+8>29
-7d+8-8>29-8
-7d/7>21/-7
d>-3
6.12-3b<9
12-12-3b<9-12
-3b/-3>-3/-3
b>1
7.z/7-6=>-5
z/7-6+6=>-5+6
z/7*7=>1*7
z=>7 (what grade are you in?!)
Answer:
1.2(2.5)x - 1
Step-by-step explanation:
