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Lelechka [254]
3 years ago
8

Jane has 10 days to study for four

Mathematics
1 answer:
sammy [17]3 years ago
5 0
10x3=30 hours
30/4= 7.5 hours to study for each exam
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Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
Maslowich

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

6 0
3 years ago
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

\therefore \: \angle A + \angle C = 180° \\  \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\  \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x =  \frac{176}{4}  \\ \therefore \: x =  44 \\  \\  m\angle A  = (2x + 3) \degree \\  = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle A  =91 \degree}} \\  \\ m\angle  C = (2x + 1) \degree \\  = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle   C=89\degree}}  \\  \\ m\angle  D= (x - 10) \degree \\  = (44 - 10) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle  D =34\degree}}  \\  \\ similarly \\  \\  \huge \red{ \boxed{ \therefore \: m\angle  B  = 146\degree}}   \\  \\

6 0
3 years ago
There are 120 children standing in a line, every third child gets a rubber, every fourth child gets a ruler and every fifth chil
nevsk [136]

Answer:

It would be the 60th child

Step-by-step explanation:

3,6,9,12,

4,8,12,16,

5,10,15,

60 is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Hope this helps<3

6 0
3 years ago
Round 915 to the nearest ten
mixas84 [53]
The answer would be 920. hope that helped
6 0
3 years ago
Ron what to make a rectangle basketball court if the length is 4 whole number 3/4 yd and the width is 3 whole number is 2/5 yd.
hoa [83]
A = L * W

A = 4 3/4 * 3 2/5.....turn them into improper fractions
A = 19/4 * 17/5
A = 323/20 or 16 3/20 yds^2 <==
6 0
3 years ago
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