The triangle is isosceles (XZ = YZ), so the base angles are congruent. The total of all three angles in the triangle is 180 degrees, so subtracting out 52 leaves 128 degrees for the two base angles together. Each base angles measures half of that, so $m\angle 1 = 64^\circ$ , code E.

Look at vertex Y. The big angle there also measures 64 degrees.

$m\angle 2 + 31^\circ =64^\circ\\m\angle 2= 64^\circ - 31^\circ = 33^\circ \text{ (code B)}$

Angle 3 is a vertical angle with the 88 degree angle, so its measure is also 88 degrees (code G).

Finally, angle 4 is an exterior angle in the small triangle that contains angles 2 and 3. In that triangle, angles 2 and 3 are the remote interior angles.

$m\angle 4 = m\angle 2 + m\angle 3\\m\angle 4 = 33^\circ + 88^\circ = 121^\circ \text{ (code A)}$

4 0

3 years ago

5. Mrs. Stabile has a one-story house that is 32 feet wide and 48 feet long. She plans to build an addition 12 feet by 16 feet.

kykrilka [37]

(32*48)+(12*16)=1728

5 0

4 years ago

can you help me out its eazy if yk it. i would do it myself but this was due before midnight and its pass midnight now and i got

Sophie [7]

Answer: .1.) 28.8

9.) 150 ft

8.) 630 ft

10.) 5'10"

Step-by-step explanation:. Ratios set up as fractions. 12/25 :x/60

cross multiply. 12 × 60 = 720. Divide by denominator if left side.

720/25 = 28.88

4 0

4 years ago

3x+2y=16 solve for y

Vanyuwa [196]

Answer:

y = -3x/2 +8

Step-by-step explanation:

3x+2y=16

1. Isolate the y variable by transposing 3x to the right side.

2y=-3x+16

2y/2=-3x/2+16/2

y=-3x/2+8

Final answer: y = -3x/2 +8

8 0

3 years ago