Answer:
1 cup of sugar per 2 cups of flour
Step-by-step explanation:
Answer:
10
+
g
−
9
>
12
Move the negative in front of the fraction.
10
−
g
9
>
12
Move all terms not containing
g
to the right side of the inequality.
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−
g
9
>
2
Multiply each term in
−
g
9
>
2
by
−
1
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g
9
<
−
2
Multiply both sides of the equation by
9
.
g
<
−
2
⋅
9
Multiply
−
2
by
9
.
g
<
−
18
The result can be shown in multiple forms.
Inequality Form:
g
<
−
18
Interval Notation:
(
−
∞
,
−
18
)
Step-by-step explanation:
Answer:
Reflecting a point across the y-axis -> changes the sign of the x-coordinate
Reflecting a point across both axes -> changes the sign of both coordinates
Reflecting a point across the x-axis -> changes the sign of the y-coordinate
Step-by-step explanation:
Reflections:
- The rule to reflect a point across the y-axis is (-x, y), meaning that the x-coordinate's sign changes.
- Reflecting a point across both axes is the same thing as rotating it 180 degrees, so the rule is (-x, -y). This means that both coordinates' signs change.
- Reflecting a point across the x-axis is (x, -y), meaning that the y-coordinate's sign changes.
Answer:
Part 1) The original triangle ΔJKL has the bigger area
Part 2)
Step-by-step explanation:
Part 1) Which triangle has a bigger area?
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
ΔJKL is similar to ΔWXY
The scale factor is 3/4
3/4 < 1
That means ---->The dilation is a reduction
therefore
The original triangle ΔJKL has the bigger area
Part 2) If m∠K = 48o, and m∠L = 62o, what is the measure of ∠W?
Remember that
If two figures are similar, then its corresponding angles are congruent
so
m∠J≅m∠W
m∠K≅m∠X
m∠L≅m∠Y
Find the measure of angle J
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
therefore