Answer: Mark me as brainlist
1.
a. 5
b.5300
c.-891
d.-312
2.
a. y=3
b.x=-3
c.z=4
d. y=4.33
Step-by-step explanation:
1
a.Solution:
-32÷8×2+2+1
=-4×2+2+1
=-8+2+1
=-8+3
=-5
b. Solition:
53×9+109×53
=477+5777
=5300
c. Solution:
-891
d. Solution:
-63×12+12×37
=-756+444
-312
2.
a. Solution:
5y-3+3=-18+3
5y=-15
y=-15/5
y=3
b. Solution:
-3x-9+9=0+9
-3x=9
x=9/-3
x=-3
c. Solution:
4+3-3(z-8-3)=-23-3
4(z-5)=-20
4z-20=-20
4z-20+20=-20+20
4z
z=4
d. Solution:
1-2+2(y-4+2)=5+2
3(y-2)=7
3y-6=7
3y-6+6=7+6
3y=13
y=13/3
y=4.33
Simple
scientific notation
8.009 × 10-3
Answer:
7980
Step-by-step explanation:
900+80+7000=7980
Answer:
m<4 = 52°
m<BFD = 98°
Step-by-step explanation:
m<1 = (3x)°
m<2 = (5x - 7)°
m<3 = (4x + 15)°
m<AFD = 128°
✔️Find m<4:
m<4 = 180° - m<AFD (angles on a straight line)
Substitute
m<4 = 180° - 128°
m<4 = 52°
✔️m<BFD = m<2 + m<3
Substitute
m<BFD = (5x - 7)° + (4x + 15)°
We need to find the value of x.
Create an equation to find x.
m<1 + m<2 + m<3 = m<AFD (angle addition postulate)
Substitute
3x + 5x - 7 + 4x + 15 = 128°
Add like terms and solve for x
12x + 8 = 128
12x + 8 - 8 = 128 - 8
12x = 120
12x/12 = 120/12
x = 10
m<BFD = (5x - 7)° + (4x + 15)°
Plug in the value of x
m<BFD = 5(10) - 7 + 4(10) + 15
m<BFD = 50 - 7 + 40 + 15
m<BFD = 98°