Answer:
There is not enough info to be able to answer this question properly.
Step-by-step explanation:
Answer:
9 mph
Step-by-step explanation:
Let Kathryn can go x mph and Stephanie can go (x + 5) mph.
Therefore, Kathryn can go 25.2 miles in hours.
And Stephanie can go 25.2 miles in hours.
Given that
⇒
⇒ 126 = x² + 5x
⇒ x² + 5x - 126 = 0
⇒ (x + 14)(x - 9) = 0
⇒ x = -14 or x = 9
But x can not be negative, so x = 9 mph
Therefore, Kathryn can ride her bike at 9 mph. (Answer)
Answer:
The first account will give more interest after one year.
Step-by-step explanation:
Blanche has to invest $8000 in a saving account.
(i) One account gives a 5.1% annual interest compounded annually.
So, after one year she will get an interest of dollars
(ii) In another account gives 3.1% annual interest compounded quarterly.
So, the quarterly interest is %.
Hence, after one year she will get an interest of dollars (Approximate)
Therefore, the first account will give more interest after one year.
Answer:
D. Sum of Interior angles; Converse of opposite angles theorem.
Step-by-step explanation:
Solution:
Statement Reasons
1. m∠A =50°,m∠B= 130°,m∠C = 50° Given
Now we know that;
"Sum of all interior angles is 360°."
2. m∠A + m∠B + m∠C + m∠D =360° Sum of all Interior angles
3. 50°+ 130° + 50° + m∠D =360° Substitution
4. m∠D =130° Subtraction property of equality.
5. m∠A Congruent m∠C Angles with equal measure are congruent m∠B Congruent m∠D
Now By Converse of opposite angle theorem which states that;
"If the opposite angles of a quadrilateral are congruent, then the figure is a parallelogram."
6. ABCD is Parallelogram Converse of opposite angle theorem
Answer:
y = 3/5x - 1
Step-by-step explanation:
The slope found from counting the units is 3/5, and the y-intercept is -1, hence 3/5x - 1