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Wittaler [7]
3 years ago
8

The sum of the measures of the angles of any triangle is 180 degrees. in triangle​ abc, angles a and b have the same​ measure, w

hile the measure of angle c is 7878 degrees larger than each of a and
b. what are the measures of the three​ angles?
Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Im assuming that the difference is 78:-

2a + c = 180   ( Note 2a = a +b   because  we are given that a = b))
c   -  a  = 78    Subtract:-

3a  = 102
a = 34

So a=34, b=34 and c = 112  Answer.
You might be interested in
Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the va
e-lub [12.9K]

You can use the fact that summing something P times is equal to multiplying that thing with P.

Those who could save the needed amount were:

Option A: A and C

<h3>How to add something P times?</h3>

Let you have to add a value y p times. Then you write it as:

y + y + ...  + y \text{\: (P times)}\\= y \times P

<h3>How to calculate how much each friend earned?</h3>

checking total money each friend earned:

  • Friend A : worked 13 hours per week at $6.95/hour rate.

Since in 1 week, A works 13 hour, thus, in 8 weeks, he works

13 \times 8 = 184 \: \rm hours

Each hour he earns $6.95, thus, for 184 hours, he will earn

6.95 + 6.95 + ... + 6.95 \text{\:(184 times)}\\= 6.95 \times 184 = \$1278.8

Similarly,

  • Friend B: worked 15 hours per work at $5.85/hour rate

B earned 15 \times 8 \times 5.85 = \$702

  • Friend C: worked 18 hours per work at $5.25/hour rate

B earned 18 \times 8 \times 5.25 = \$756

  • Friend D: worked 11 hours per work at $7.80/hour rate

B earned 11 \times 8 \times 7.8 = \$686.4

Only friend A and friend C could earn more than or equal to $750

Thus,

Those who could save the needed amount were:

Option A: A and C

Learn more about multiplication here:

brainly.com/question/520497

8 0
2 years ago
Read 2 more answers
HELP ME PLSSSSSS!!!!!!!
n200080 [17]

Answer:

1) m\angle x = 35^{\circ}, 2) m\angle x = 60^{\circ}, 3) m \angle x  = 40^{\circ}

Step-by-step explanation:

1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle x:

m\angle x = 180^{\circ} - 90^{\circ} - 55^{\circ}

m\angle x = 35^{\circ}

2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle x:

m \angle x = 180^{\circ} - 90^{\circ} - 30^{\circ}

m\angle x = 60^{\circ}

3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle x:

m\angle x = 360^{\circ} - 180^{\circ} - 140^{\circ}

m \angle x  = 40^{\circ}

4 0
3 years ago
There are 400 mangoes in a barrel. Each mango weighs 1. 8 pounds. What is the total weight of the mangoes in the barrel?
Alika [10]

Answer:

720 pounds

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Number of mangoes in a barrel = 400

Each mango weight = 1.8 pounds

So, we can calculate the total weight of mangoes by using following formula,

Total weight = Number of mangoes in a barrel × Each mango weight

By putting value, we get

Total weight = 400 × 1.8 pounds

= 720 pounds

7 0
3 years ago
Use elimination to solve!!!!!!
REY [17]
For easier notation lets use: Nn=x and Nd=y

x+y=22
5x+10y=135

Multiply the first equation by 5 to get
5x+5y=110

Now you can eliminate x by subtracting the first equation from the second
5x+10y-5x-5y=135-110
5y=25
y=5
x=17
6 0
3 years ago
Please help <br><br> f(x)=x^2+x-1<br> g(x)=-3x+12 <br><br> Find g(f(x))
Alecsey [184]

Answer: -3x^2-3x+9

Step-by-step explanation:

-3(x^2+x-1)+12 = -3x^2-3x-3+12 = -3x^2-3x+9

7 0
3 years ago
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