2 years ago

Q. At the gas station Jessie purchases a candy bar for $1.25, a drink for $2.58 and a bag of

Mathematics

1 answer:

skad [1K]2 years ago

6 0

The answer is $7.3 :)

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A statement and portions of the flowchart proof are shown. Which reason should appear in box labeled 1?

larisa [96]

Answer:

Angle Addition Postulate

Step-by-step explanation:

Given:

$m\angle UVW=30^{\circ}\\ \\m\angle WVX=75^{\circ}$

Prove:

$m\angle UVX=105^{\circ}$

Proof:

1. $m\angle UVX=m\angle UVW+m\angle WVX$ - Angle Addition Postulate

2. $m\angle UVW=30^{\circ}$ - given

3. $m\angle WVX=75^{\circ}$ - given

4. $m\angle UVX=30^{\circ}+75^{\circ}$ - Substitution Property of Equality

5. $m\angle UVX=105^{\circ}$ - Simplify

4 0

3 years ago

What is the solution set of this inequality?

Gnoma [55]

Answer:

$x\ge \:4$

Step-by-step explanation:

$8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4$