Answer:
The value of x is -29 and the value of y is -26
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding angles and its corresponding sides are congruent
so
The length of the corresponding sides must be equal
----> equation A
----> equation B
Note
The length of one side of the triangle equal to -5 is not logical, however we will continue with the resolution of the problem for didactic purposes.
Solve the system by graphing
Remember that
the solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The solution is the point (-29,-26)
see the attached figure
therefore
The value of x is -29 and the value of y is -26
Answer:
A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce? (1 pound = 16 ounces) a. $0.06.
Step-by-step explanation:
Answer:
11.11 hours
Step-by-step explanation:
Rita = 20 hours
Neha = 25 hours
Let the time that they can complete the work together be written as x
1/20 + 1/25 = 1/x
Lowest Common Denominator is 500
25 + 20/500 = 1/x
45/500 = 1/x
Cross Multiply
45x = 500
x = 500/45
x = 11.111111111 hours
Approximately = 11.11 hours
Therefore, it would take Rita and Neha 11.11 hours to complete the work together.
Answer:
Step-by-step explanation:
Remember that it doesn't matter how many numbers are after the tenths place of a decimal point what matters is the tenths place itself. If you have a decimal that has dozens of numbers but it's tenth place is a 3 and then you have a decimal with 5 numbers in whole but it's tenths place is 4, the 4 is greater then the 3 simply because it's greater in tenths.
Hope this helps.
These are right triangles that will use either sin, cos, or tan, depending upon what you have to work with in regards to the reference angle. The first one has a reference angle of 51 with y being the side opposite it and 12 being the hypotenuse. The sin identity uses the side opposite over the hypotenuse as its formula:
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
and
and
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
and
and
with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
