10a) <u>x = 81</u> <u>y = 30.5</u>
Isolate y
2y + 20 = x
2y = x- 20
y = x/2 - 10
Plug in for y
4y - 6 + 64 + x = 180
4(x/2 - 10) - 6 + 64 + x = 180
4x/2 - 40 -6 + 64 + x = 180
4x/2 + 18 = 180
4x/2 = 162
4x = 324
x = 81
Plug in for x
2y + 20 = x
2y + 20 = 81
2y = 61
y = 30.5
10b) <u>x = 47</u>
Isolate x
4x -12 = 3x + 35
x - 12 = 35
x = 47
11)
2. definition of parallelogram
3. < ABD ≅ < BDC
4. < CBD ≅ <BDA
6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.
Hope this helps! ;)
9≤c + 1
In this question we will first solve for the variable. ( i.e. c )
so,
subtracting both sides by 1 we get
8 ≤ c
or
c ≥ 8
And we know that if we have ≤ or ≥ we have a HARD dot on the point.
So, our graph will start from point 8 goes to the right.
hope this helped.. :)
Answer:
Step-by-step explanation:
A rhombus is the parallelogram with perpendicular diagonals. All
<u>Correct statements, reasons:</u>
- A - adjacent angles are supplementary
- B - opposite sides are parallel
- C - diagonals are perpendicular
- E - opposite sides are congruent
<u>Incorrect statements, reasons:</u>
- D - opposite angles are congruent, but not supplementary
- F - diagonals are not congruent, it would be square not rhombus
Answer:
c
Step-by-step explanation:
try calculator and see which fits
Let the second score = x
⇒ second score = x
<span>the first is 14 points more than the second
</span>⇒ first score = x + 14
<span>the sum of the first two is 6 more than twice the third
</span>⇒ third score = 1/2 (x + x + 14 - 6) = x + 4
<span>The sum of a student's three score is 246
</span>⇒ x + (x + 14) + (x + 4) = 246
<span>
Solve x:
</span>x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76
second score = x = 76
first score = x + 14 = 76 + 14 = 90
Answer: 90
