Answer:
first and third
Step-by-step explanation:
Emma used the product instead of the quotient and forgot the parentheses in x-4.5
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:
Now, since the figure already shows that angle Now, since we have established that the base angles we can now solve the above equation for m<2 as follows:
Therefore, the correct answer is: option D
The easier way to multiply 2/15 by 3/20 will simply be by multiplying the numerators and denominators.
In order to multiply 2/15 x 3/20, we can simply multiply the numerator and the denominator. This will be
= 2/15 × 3/20
= 6/300
= 1/50
Also, in order to multiply the fractions, we can change them to decimal first. This will be:
= 2/15 × 3/20
= 0.133 × 0.15
= 0.01995
In conclusion, multiplying the numerators and denominators is easier and faster.
Read related link on:
brainly.com/question/25328409
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!