Step-by-step explanation:
you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1
then divide 5 from both sides 5x < 3 This leaves 5 5
you with x < 3/5
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangle ABC and ADE are congruent triangles by SSS Theorem postulate
therefore
Answer:
Imaginary roots
Step-by-step explanation:
The discriminant of a quadratic in standard form is given by .
Given , subtract 5x from both sides so that the quadratic is in standard form:
Now assign variables:
The discriminant is therefore .
What does this tell us about the roots?
Recall that the discriminant is what is under the radical in the quadratic formula. The quadratic formula is used to find the solutions of a quadratic. Therefore, the solutions of this quadratic would be equal to for some and . Since the number under the radical is negative, there are no real roots to the quadratic (whenever the discriminant is negative, the are zero real solutions to the quadratic). Therefore, the quadratic has imaginary roots.
Answer:
Becky completed the proof incorrectly.
Step-by-step explanation:
The only difference of the two proofs, at least what I can see, is the reason for step 2. Angie claims that it is the Definition of Supplementary Angles, while Becky claims Angle Addition Postulate.
The Definition of Supplementary Angles states that m∠A + m∠B = 180°.
While the Angle Addition Postulate states that m∠A + m∠B = m∠C.
Because the context used is that m∠AKG + m∠GKB = 180° and m∠GKB + m∠HKB = 180°, it would be using the Definition of Supplementary Angles.
So Becky is the one who is incorrect.
3218 meters.
(4/5) *1609 = 1287.2
.3 * 1609 = 482.7
.9 *1609 = 1448.1
Then add up the totals. Multiply the given distances by 1609 because 1609 meters equal one mile