Answer:
4 : 34
5 : 102
Step-by-step explanation:
This problem can be solved by using concept of co-interior angles.
co interior angles are those angles which lie on the same of parallel lines when the parallel lines are cut by transversal.
sum of co interior angles is 180 degrees.
In the problem 4 and 5 then angle given and missing angles are co-interior angles.
Problem 4
146 + ? = 180
? = 180 -146 = 34
Thus missing angle in problem 4 is 34 degrees
Problem 5
78 + ? = 180
? = 180 -78 = 102
Thus missing angle in problem 5 is 102 degrees
The equation that has the same solution as
is: C.
<h3>How to Solve Equations having Exponents</h3>
- To solve such, simplify the bases so that the base on the right equals the base on the left.
- Then solve the equation for the variable.
Given:

- The bases will cancel out
2x - 5 = 3
2x = 3 + 5
2x = 8
x = 4
The solution of
is 4.
Thus:

Therefore the equation that has the same solution as
is: C.
Learn more about equations with exponents on:
brainly.com/question/11832081
Find value of determinant.
The determinant is a term that is inside a square root and part of the quadratic formula used for solving quadratic equations.
Let determinant be 'd'.
If d >0, Then there are 2 real solutions
If d = 0, Then there is only 1 real solutions
If d < 0, Then there are 0 real solutions but 2 imaginary solutions
d = b^2 - 4ac
For this problem, the coefficients are:
a = 1, b = -3, c = 8
d = (-3)^2 - 4(1)(8)
d = 9 -32 = -23
d is less than 0, therefore there are 0 real solutions and 2 imaginary solutions.
This is true because you cannot take square root of a negative number.
Answer:
12s² + 11st - 2t²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s³ + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
Answer:
Approximately 0.51
Step-by-step explanation: