Question

Find the measurement of an angle if its measure is 78 less than its complement

114

likes
571 views

Answer to a math question Find the measurement of an angle if its measure is 78 less than its complement

Expert avatar
Santino
4.5
112 Answers
1. Write the equation for the complementary angles given in the problem:

x + (x + 78) = 90

2. Simplify the equation:

2x + 78 = 90

3. Subtract 78 from both sides of the equation:

2x = 12

4. Divide both sides by 2 :

x = 6

So, the measurement of the angle is:

x = 6

Frequently asked questions (FAQs)
Math Question: Given a triangle with side lengths a = 5, b = 12, and c = 13, what is its area using Heron's formula? (
+
Math Question: Simplify √(18) + √(32)
+
What is the probability of rolling a fair die and getting a prime number?
+
New questions in Mathematics
2x-y=5 x-y=4
3(4×-1)-2(×+3)=7(×-1)+2
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
9b^2-6b-5
2.3/-71.32
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card
solve for x 50x+ 120 (176-x)= 17340
The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. 84. Find the probability that the average price for 30 gas stations is less than $4.55. a 0.6554 b 0.3446 c 0.0142 d 0.9858 e 0
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)
0.1x8.2
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
Determine the Linear function whose graph passes through the points (6, -2) and has slope 3.
5a-3.(a-7)=-3
2p-6=8+5(p+9)
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
x(squared) -8x=0