Answer:
13) Angle A is 30°
14) Angle A is 45°
15) Angle A is 40°
16) Angle A is 40.5°
Step-by-step explanation:
By the angle sum theorem for the interior angles of a triangle, we have;
13) 130° + 2·x + 3·x = 180°
∴ 2·x + 3·x = 180° - 130° = 50°
2·x + 3·x = 5·x = 50°
x = 50°/5 = 10°
∠A = 3·x = 3 × 10° = 30°
∠A = 30°
14) 3·x + 9 + 4·x + 9 + 78° = 180°
7·x + 18 + 78° = 180°
7·x = 180° - (18 + 78)° = 180° - 96° = 84°
x = 84°/7 = 12°
∠A = 3·x + 9 = 3 × 12° + 9 = 45°
∠A = 45°
15) 90° + x + 51 + x + 61 = 180°
∴ x + 51 + x + 61 = 180° - 90° = 90°
2·x + 112 = 90°
2·x = (90 - 112)° = -22°
x = -22°/2 = -11°
x = -11°
∠A = x + 51 = -11° + 51 = 40°
∠A = 40°
16) x + 79 + x + 49 + 70° = 180°
x + x = (180 - 70 - 79 - 48)° = -17°
2·x = -17°
x = -17°/2 = -8.5°
x = -8.5°
∠A = x + 49 = (-8.5 + 49)° = 40.5°
∠A = 40.5°.
Answer:
Answer is :- Each pork chop weight is 4.8 ounces.
Step-by-step explanation:
Given,
A 3 pound pork can be cut into 10 pork chops of equal weight.
Weight of one pork chop = 3/10 pounds
or Weight of one pork chop = 0.3 pound
We can convert 0.3 pounds into ounces
Since 1 pound = 16 ounces
Then, 0.3 pound = 16 * 0.3 ounces
or 0.3 pound = 4.8 ounces
Hence each pork chop weight is 4.8 ounces.
<span>The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads.
</span>so....
<span>About 24 necklaces have more than 28 beads. </span>
<span>About 48 necklaces have more than 28 beads. </span>
<span>About 80 necklaces have more than 28 beads. </span>
About 96 necklaces have more than 28 beads<span>
</span> <span>About 80 necklaces have more than 28 beads.
</span><span>
Z score is 28-24/4=1
(1-.8413)=0.1587
500*0.1587=79.35~80
i did this like 2 or 3 years ago .</span>
Answer:587,073
Step-by-step explanation:
