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navik [9.2K]
3 years ago
15

If the measure of angle x = 83 and the measure of angle y = 139. whats the measure of angle a

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

The answer of a is 56

Step-by-step explanation:

139 - 83 = 56

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A rectangular prism has a width of 3 cm and a height of 8cm and a length of 9 cm. What is the surface area of the prism?
Sav [38]

Answer:

A=246cm

Step-by-step explanation:

L= 9

W= 3

H= 8

2·(3·9+8·9+8·3)= 245

Formula= A=2(wl+hl+hw)

7 0
3 years ago
Find the coordinates of the midpoint of the line segment joining pairs of points (4,5) and (6,9)
Juliette [100K]

Answer:

5,7

Step-by-step explanation:

4+6/2=5 (x coordinate), and for the y coordinate 5+9/2=7

5,7 is the final point

7 0
2 years ago
The quadrilateral shown is a parallelogram. If m∠ADC = 125° and m∠1 = 30°, what is m∠2? A) 15° B) 25° C) 35° D) 55°
Ganezh [65]

Answer:

B) 25°

Step-by-step explanation:

Assuming the quadrilateral is the one shown in the picture attached, then a triangle ADC is form, where m∠ADC = 125° and m∠1 = 30°. The addition of the three angles of a triangle is equal to 180°, so:

m∠ADC + m∠1 + m∠2 = 180°

Replacing with the known values and isolating m∠2 we get:

125° + 30° + m∠2 = 180°

m∠2 = 180° - 125° - 30°

m∠2 = 25°

3 0
4 years ago
A square plywood platform has a perimeter that is 6 times the length of a side, decreased by 6. Find the length of a side. (Reca
Softa [21]

Answer:3

Step-by-step explanation:

6s-6=4s

2s=6

S=3

3 0
3 years ago
Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas
zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048

Compute the probability of a person having a heart attack given that he or she has the disease:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0
3 years ago
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