Answer:
it's -4
Step-by-step explanation:
I just took the test and got it right
Answer:
A. 1.5 cm by 2.5 cm
B. 27 cm by 45 cm
C. 9 cm by 15 cm
D. 30 cm by 50 cm
Step-by-step explanation:
The dimensions of the original painting = 12 cm by 20 cm painting
Hence, the proportion is:
12/20 = 0.6
Hence, we compare the options given in the question.
A. 1.5 cm by 2.5 cm
= 1.5/2.5 = 0.6 , option A is correct
B. 27 cm by 45 cm
27cm/45 cm = 0.6 Option B is correct
C. 9 cm by 15 cm
9cm/15cm = 0.6 , Option C is correct
D. 30 cm by 50 cm
30 cm /50 cm = 0.6 Option D is correct
E. 6 cm by 14 cm
6cm/14 cm = 0.4285714286
Option E is not correct
Therefore, Options A to D are the correct options
Answer:
$289.25
Step-by-step explanation:
First we should find out how much Ms. Maple would make in a week without overtime.
6.5 x 40 = 260
Now, let's figure out how much she makes per hour in overtime.
6.5 x 1.5 = 9.75
Now add up the hours of overtime.
9.75 x 3 = 29.25
Now we add the weekly wage to the overtime
260 + 29.25 = 289.25
For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.
Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
<span>Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:
<span> Statement Reason
</span>
ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.
Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.
</span>∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD<span>
</span><span>Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
</span>Solution:
<span> Statement Reason
</span>
Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.
Angle A = Angle C Since both are right angles, they are congruent
Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.
∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD
