Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
Given
Isosceles Triangle Theorem
Angle Addition
Given
Definition of Bisector
Substitution
Angle Addition
Given
Definition of Bisector
Substitution
Substitution
Division Property of Equality
Reflexive Property
Angle-Side-Angle Congruence*
CPCTC
*For clarification:
∠Y = ∠Z
YZ = YZ (or ZY)
∠PZY = ∠QYZ
So, Angle-Side-Angle Congruence:
ΔYZP is congruent to ΔZYQ
Answer:
see attached diagram
Step-by-step explanation:
First, draw the dashed line 50x+150y=1500 (dashed because the inequality is without notion "or equal to"). You can do it finding x and y intercepts.
When x=0, then 150y=1500, y=10.
When y=0, then 50x=1500, x=30.
Connect points (0,10) and (30,0) to get needed dashed line.
Then determine which region (semiplane) you have to choose. Note that origin's coordinates (0,0) do not satisfy the inequality 50x + 150y>1500, because
This means that origin lies outside the needed region, so you have to choose the semiplane that do not contain origin (see attached diagram).
I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.
8 times 3a = 24a
8 times 5 = 40
So 8(3a+5) becomes 24a+40
We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.
X - 3pt baskets (he reaches 3x points)
y - 2pt baskets (he reaches 2y points)
We know, that y=x+43
97 - 1 free throw = 97 - 1 = 96
Sum of points: 96
3x + 2y = 96. Substitute to "y" an expression "x+43" :
3x + 2(x+43)=96
3x+2x+86=96
5x=10 |:5
x=2
So y=x+43=2+43=45
He has made 2 three points baskets and 45 two points baskets
Answer:
Step-by-step explanation: I don’t really understand what this means, but I think it might. For multiplication of decimals, you would move the decimal point to the left. For division, you’d move the decimal point to the right.
