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

4 0

4 years ago

How do yo do this question I have to

Burka [1]

Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

7 0

3 years ago

Read 2 more answers

an ornithologist studying the flight of birds measured the efficiency for parakeets flying at various speed in a descending flig

borishaifa [10]

Step-by-step explanation:

Given:

when s = 12 mph t =0.18 let (s,t) or (a,b) = (12,0.18)
when s = 22 mph t = 0.23 s (s,t) or (a,b) =(22,0.23)
when s = 30 mph t = 0.15 s (s,t) or (a,b) =(30,0.15)

we know the general format of Quadratic equation to be

= ax²+bx+c=0

Step 1 :

when the birds pass through a,b (12,0.18) we cane give the expression as

= ax²+bx+c=0

= 12x² + 0.18x + c= 0

it can also be written as

s = ut + 1/2 at² = 0.18t +( 1/2) a(0.18)²

step 2 :

through points (22,0.23)

= 22x² + 0.23x + c = 0

s = ut + 1/2 at² = 0.23t + (1/2) a(0.23)²

Step 3 :

through points (30,0.15)

= 30x² + 0.15x + c = 0

s = ut + 1/2 at²

= 0.15 u +(1/2) a(0.15)²

7 0

3 years ago