Answer:
98, 27
Step-by-step explanation:
In the first figure, the two angles are supplementary, meaning that their sum would equal 180 degrees, giving the equation: b+82 = 180 --> b=98
In the second figure, the two angles are complementary, meaning that they add up to 90 degrees, giving the equation: b+63 = 90 --> b=27
Answer: If a quadrilateral is a square, then it is a rectangle. (choice D.)
Step-by-step explanation:
The Law of Syllogism states that if the following two statements are true: If p , then q . If q , then r . Then we can derive a third true statement: If p , then r .
We can apply this rule in the conditional statements:
<em>If a quadrilateral is a square, (p) then it has four right angles. (q)</em>
<em>If a quadrilateral has four right angles, (q) then it is a rectangle. (r)</em>
Therefore:
<em>If a quadrilateral is a square, (p) then it is a rectangle. (r)</em>
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I hope this helps!
Answer:
-1
Step-by-step explanation:
rise = -2
run = 2
Slope = rise / run
= -2/2 = -1
Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Answer:Jake's total cost is $22.05
Step-by-step explanation:
The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as
30/100 × 30 = $9
The new price of the sweater would be 30 - 9 = $21
Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be
5/100 × 21 = 0.05×21 = $1.05
Jake's total cost would be
21 + 1.05 = $22.05
