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3 years ago

Can you conclude that this parallelogram is a rectangle? Explain.

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

8 0

Answer:

Yes, the diagonals are congruent

Step-by-step explanation:

A triangle is a special kind of a parallelogram that has congruent sides. The sides are congruent as they have the same lengths and and angles of bisection.

In other words, the vertically opposite angles will be equal as well.

Since the angles corresponding to the sides of the vertically opposite angles are equal, it means that the sides are also congruent.

Doing a measurement with a protractor proves that the angles formed by the perpendicular lines will be right angles.

maxonik [38]3 years ago

5 0

I think it yes the diagonals are congruent but I can’t really tell

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The half-life of a certain substance is 20 years. How much of a 100 gram sample will be left after 20 years?

cluponka [151]

$\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ t=\textit{elapsed time}\dotfill &20\\ h=\textit{half-life}\dotfill &20 \end{cases} \\\\\\ A=100\left( \frac{1}{2} \right)^{\frac{20}{20}}\implies A=100\left( \frac{1}{2} \right)^1\implies A=50$

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3 years ago

Read 2 more answers

In this exercise, T: R2 → R2 is a function. For each of the following parts, state why T is not linear. (a) T(a1, a2)= (1, a2) (

DENIUS [597]

Answer:

a) T is not homogeneous
b) T is not additive
c) T is not homogeneous
d) T is not additive
e) T is not additive

Step-by-step explanation:

In each case there is an example where one property of linear functions fails.

a) $T(2(1,0))=T((2,0))=(1,0); 2T((1,0))=2(1,0)=(2,0)$ . These vectors are not equal, then T doesn't satisfy the condition of scalar multiplication (homogeneity).

b) $T((1,2)+(2,3))=T(3,5)=(3,9); T((1,2))+T((2,3))=(1,1)+(2,4)=(3,5)$ . Because these vectors are not equal, T doesn't satisfy the property of vector addition (additivity).

c) $T(\frac{1}{2}(\pi,0))=T((\frac{\pi}{2},0))=(\sin(\frac{\pi}{2}),0)=(1,0); \frac{1}{2}T((\pi,0))=\frac{1}{2}(0,0)=(0,0)$ so T is not homogeneous.

d) $T((-1,0)+(1,0))=T(0,0)=(0,0); T((-1,0))+T((1,0))=(1,0)+(1,0)=(2,0)$ then T is not additive.

e) $T((0,0)+(1,0))=T(1,0)=(2,0); T((0,0))+T((1,0))=(1,0)+(2,0)=(3,0)$ then T is not additive.

8 0

3 years ago

36 to the power -1/2

IRISSAK [1]

0.166667
it was rounded

6 0

3 years ago

Students are making ornaments and each takes 1/4 of a piece of Bristol board. They go to the cupboard and find 2 1/2 pieces of B

coldgirl [10]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

5 0

3 years ago

Booker owns 85 video games he has 3 shelves to put the games on each shelf can hold 40 video games how many more video games doe

sergey [27]

5 because

85
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___
45
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____
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3 0

3 years ago