Two baseball players bat first and second in the lineup. The first batter has an on-base percentage of 0.23. The second batter h
1 answer:
You might be interested in
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
Answer:
m <
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
Given a quadratic equation in standard form, y = ax² + bx + c
Then the value of the discriminant determines the nature of the roots
• For 2 real roots then b² - 4ac > 0
Given
y = 3x² + 7x + m ← in standard form
with a = 3, b = 7 and c = m, then
7² - (4 × 3 × m) > 0
49 - 12m > 0 ( subtract 49 from both sides )
- 12m > - 49
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
m <
Answer:
02 High Schools would be selected from the stratum with a percent-free-lunch value of 40 less than or equals x.
Step-by-step explanation:
As the sample size needed is 25 and total schools are 100 so this indicate 1 school in each 4 schools is to be selected. This is given as
Now as the schools with percent free lunch are 8 so now
So only 2 schools will be selected in this regard.