Answer: 11 gallons
Step-by-step explanation:
We have
x>=-2
x<=6
y>=-1
y<=4
using a graph tool
see the attached figure
the solution is the figure of a rectangle <span>limited by points
</span>(-2,-1) (6,-1) (-2,4) (6,4)
the answer is
a rectangle
a parallelogram (rectangles<span> are subsets belonging to the set of </span><span>parallelograms)</span>
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
_____
There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
Answer:
The 2 numbers are 512.8 and 487.2.
Step-by-step explanation:
Let the numbers be x and y, then:
x + y = 1000............(1)
x^2 - y^2 = 25600
(x + y)(x - y) = 25600
1000(x - y) = 25600
x - y = 25.6............(2)
Adding (1) + (2):
2x = 1025.6
x = 512.8
so y = 1000 - 512.8
y = 487.2.
Answer:
You save $0.09 at Quick Mart for price per apple
Step-by-step explanation:
Quick mart = 1.17/3 = $0.39 per apple
Shop & Save = $0.48
$0.39 - $0.48 = $0.09
You save $0.09 per apple at Quick Mart
-Chetan K
