Answer:
Step-by-step explanation:
<u>Given equations:</u>
<u>Add together:</u>
- -8x + 8y + 3x - 8y = 8 - 18
- - 5x = - 10
Correct option is D
Answer:
a = 6.7
Step-by-step explanation:
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 45
a = 6.7
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
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<em>Alternate solution</em>
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
Answer:
C) The triangles are not similar.
Step-by-step explanation:
These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.
Answer:
slope = -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + ← is in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, hence
Slope of a parallel line = -