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jekas [21]
3 years ago
8

Is the following definition of obtuse angles reversible? If yes, write it as a true biconditional.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0
I believe the answer is C.
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HELPPP ME ASAPPPP PLEASEEE!!
kaheart [24]

y = 90°

Solution:

The reference image for the answer is attached below.

The sum of opposite interior angles is equal to the exterior angles.

m∠BAC + m∠ACB = 110°

m∠BAC + 70° = 110°

m∠BAC = 110° –  70°

m∠BAC = 40°

m∠BAD + m∠DAC = 40°

x + x = 40°

2x = 40°

Divide by 2 on both sides of the equation.

x = 20°

In triangle DAC,

Sum of all the angles of a triangle = 180°

m∠DAC + m∠ACD + m∠CDA = 180°

20° + 70° + m∠CDA = 180°

90° + m∠CDA = 180°

m∠CDA = 180° – 90°

m∠CDA = 90°

∠CDA and y lies on the straight line. So they form a linear pair.

y + m∠CDA = 180°

y + 90° = 180°

y = 180° – 90°

y = 90°

The value of y is 90°.

7 0
3 years ago
Each of three friends Lynn Jada and Andre has the goal of raising $40 how much money did each person raise according to the foll
kenny6666 [7]

Answer:

is it 60$

Step-by-step explanation:

because if its 100% than it would be 40+40+40

due to 50% = 120 ÷50%

= 60

8 0
2 years ago
allen is mixing red and yellow paint to make two different shades of orange. to make 1 cup of dark orange paint he needs 7 ounce
slavikrds [6]

Answer:

42 ounces of yellow paint.

Step-by-step explanation:

  • To make three cups of dark orange, you just need to remember that to make one cup you need: 7 ounces of red paint and 1 ounce of yellow paint. Then, to make three cups, we just have to multiply these proportions by three,which means 7x3 ounces of red paint =21 ounces of red paint, plus 3x1 ounces of yellow paint =3 ounces of yellow paint. Then we need 21 ounces of red paint and 3 of yellow paint to make three cups of dark orange.
  • To make one cup of light orange, we need 13 ounces of yellow paint, and 3 ounces of red paint. Then, to make three cups, we just multiply this proportion by 3, as follows: 13x3 ounces of yellow paint = 39; and 3x3 ounces of red paint =9.  Then we need 9 ounces of red paint and 39 of yellow paint to make three cups of light orange.
  • Adding up the amount of ounces we need to make dark orange and light orange, we get a total amount of 21+9=30 ounces of red paint and 3+39=42 ounces of yellow paint to make three cups of light orange and three cups of dark orange.
7 0
3 years ago
The function y = f(x) is graphed below. What is the average rate of change of the
Yuliya22 [10]
Don’t know but hope you have a good day
7 0
2 years ago
In quadrilateral QRST, angle rst measures (5x + 15)o. Angle TQR measures (4x + 3)o.
sattari [20]
2(5x + 15) + 2<span>(4x + 3) = 360
10x + 30 + 8x + 6 = 360
18x = 324
    x = 18

so

RST = </span><span>5x + 15 = 5(18) + 15 = 105

answer

RST = 105 degree</span>
4 0
3 years ago
Read 2 more answers
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