Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
!!
Answer:
240 square feet
Step-by-step explanation:
Hello, I can help you with this
Step one
find the real scale
According to the data
scale is 1 in : 2 ft
also remember 1ft=12 inches
so
scale is 1in: 2(12 inches)
scale is 1 in :24 in
the purpose of use inches a unit in both sides is to eliminate the, the scale must be adimensional
so escales is
1:24 , this means, that a measure on the blueprint must be multiplied by 24 to know its real value
Step 2
with the escale find the real dimensions, you can use a rule of three
Abraham's bedroom is 6 inches wide
blueprint ⇔ bedroom
1 in ⇔ 24 in
6 in ⇔x
x=(6*24)/1
x=144 inches=12 ft
Abraham's bedroom is 10 inches long
1 in ⇔ 24 in
10 in ⇔y
y=(10*24)/1
x=240 inches=20 ft
Step 3
find the area
the area is wide *long
area=x*y
area=12ft*20ft
area=240 square feet.
Have a good day
Answer:
(0,-1)
(1,-5)
(2,-9)
Step-by-step explanation:
y = −4x −1
Let x=0
y = 0-1 = -1 (0,-1)
Let x = 1
y = -4(1) -1 = -4-1 =-5 (1,-5)
Let x = 2
y = -4(2) -1 = -8-1 =-9 (2,-9)
2.8392222e+17
Step-by-step explanation:
283838383838382828 + 83838383888282=2.8392222e+17
Answer is 20.3 and the steps are:
1.) 7 x 9 = 63 move the six over the 2 leave the 3 down
2.) 7 x 2 = 14
3.) 14 + 6 = 20
4.) you have 203 but must bring the decimal down and it makes it: 20.3
I hope I helped and if you're confused please ask questions