Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Answer:
All squares are rectangles.
Step-by-step explanation:
A square is a rectange with equal-length sides.
A rectangle is a parallelogram with right-angle corners.
A parallelogram is a quadrilateral with opposite sides parallel.
A quadrilateral is any 4-sided plane figure, not necessarily convex. Sides are not necessarily parallel, nor are angles necessarily 90°.
Answer:
Solution given:
the fractions Four-sevenths=4/7≈0.57
the fractions Five-ninths=5/9≈0.55
Since 0.55 is less than 0.57
<u>least=the fractions Five-ninths</u>
<u>greatest=the fractions Four-sevenths</u>
The correct answers are A C and B
Answer:
Reflection across y axis
Translate up by 3 units
Step-by-step explanation:
Given
Required
Describe the transformation from f(x) to g(x)
First, take a reflection of f(x) across the y axis.
So f(x) becomes f(-x)
when reflected
Next, translate f(-x) up by 3 units to give g(x)
Where
Hence, the transformation from f(x) to g(x) includes:
Reflection across y axis
Translate up by 3 units
