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LiRa [457]
2 years ago
13

In triangle​ ABC, the measure of angle B is 39 more than three times the measure of angle A. The measure of angle C 66 is more t

han the measure of angle A. Find the measure of each angle.
Mathematics
1 answer:
IrinaVladis [17]2 years ago
8 0

answer:

a = 15

b = 84

c = 81

steps

a+b+c=180

b=3a+39  

c=a+66    

a+3a+39+a+66=180

5a + 105 = 180

5a = 75

a = 15

b=3a+39  

b=3(15)+39  

b=45+39

b=84

c=15+66

c=81

https://www.wyzant.com/resources/answers/292883/i_don_39_t_get_how_to_put_it_into_a_formula

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What is the value of x?
Ksenya-84 [330]

Step-by-step explanation:

\frac{360 - 2(x  +  30)}{2}  = x \\  360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300  \div 4  = 75

4 0
3 years ago
Read 2 more answers
A lamp was on sale for 25% off its regular price of $80. Craig had a coupon that took an additional 25%
hram777 [196]

Answer:

$45

Step-by-step explanation:

The sale price changed from $80 to 60, then with the coupon another 25% was taken off leading it to come to a price of $45

$80 x .75 = 60

$60 x .75 = 45

(.75 is for the price of the original value that he will be paying later)

6 0
3 years ago
Paul went on a bike ride of 30 miles. He realized that if he had gone 8 mph faster, he would have arrived 12 hours sooner. How f
lara [203]

Answer: He actually rode 2 miles per hour on his trip

Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.

Time  = distance /speed  t will represent time, s is the speed:  t = 30/s Use the rime it would have taken at the higher speed to create an equation:

t-12 = 30/s+8   replace the y with the 30/s

30/s -12 = 30/s+8

(s)(30/s -12 ) = (s)(30/s+8 )  Cross multiply to cancel denominators  

(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s   Simplify:  

(-1)(-12s² -96s +240 ) =0 ==>  12s² +96s -240  divide all by 12

s² + 8s -20 = 0   Factor and solve for s

(s +10)(s -2) =0    s-2=0   S= 2  

Proof:

30/2 = 15 hours for original trip at 2mph,  

increase speed by 8mph   2 + 8 = 10mph

30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.

(Brainilest, please :-)

4 0
3 years ago
Your cost is $250.you increase by 125%.what is the selling price?
Vitek1552 [10]
The answer is $312.50
8 0
3 years ago
Could someone help are my answers right
liq [111]
Yes they are right. 2+784
8 0
3 years ago
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