Answer:
{-1, 5} (two real solutions).
Step-by-step explanation:
On the left side we want x^2, not x?
We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:
x^2 - 4x + 5 = 0
This factors easily to (x - 5)(x + 1) = 0.
We let each factor equal zero (0) separately and solve for x:
{-1, 5} (two real solutions).
1) 3j + 5p = 7.60 and 1j + 2p = 2.90
2) Solving for j and p
j = 2.90 - 2p
3(2.90 - 2p) + 5p = 7.60
8.7 - 6p + 5p = 7.60
8.7 - p = 7.60
-p = -1.1
p = 1.1
1j + 2(1.1) = 2.9
j + 2.2 = 2.9
j = .7
3) The values of p and q:
p = $1.1 per pancake, j = .70 cents per glass
Answer:

Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse

To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values

Round the answer to 2 decimal places

Answer:
0.056
Step-by-step explanation:
:) hope this helps
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property