What is the product of 32/3 and 142/5

Answers

Answer 1

Answer: remember that
$(x)/(y)$ times $(z)/(t)$ = $(x times z)/(y times t)$
so we have
$(32)/(3)$ times $(142)/(5)$
that equals
$(32 times 142)/(3 times 5)$ = $(4544)/(15)$ =302 and 14/15

Answer 2

Answer: $(32)/(3) * (142)/(5) =(32*142)/(3*5)=(4544)/(15)=\boxed{\bf{302(14)/(15)=302.933333}}$

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Solve for x. x/a+b=c

Answers

x=c×a-b because Every thing you do to 1 side you have to do to the other

Do all squares have four sides

Answers

yes all squares do have four sides

Ye they do since they are part of the quadrilateral family just like rectangles..

Find the distance between the points (5, 7) and (1, 10).

Answers

Answer:

I think it's 2,5 but i'm not really sure

Step-by-step explanation:

Sandra conducted an observational study to learn how relationships with family affect happiness. She surveyed 500 people in her hometown and found that 85% say that positive relationships with family members make them happy. What could be the conclusion of her study?

Answers

She may conclude that in her hometown, a majority of people experience greater happiness thanks to positive relationships. However, in order to apply this to a greater population, she will have to use a larger sample of people.

Since this is an observational study and not an experiment, she can only conclude that there may be a link between closeness with family and happiness but we cannot say that closeness with family results in happiness.

In the figure below, segment AC is congruent to segment AB.Which statement is used to prove that angle ABD is congruent to angle ACD?
Answer

Angle CAB is congruent to angle CBA.

Angle DAC is congruent to angle DAB.

Triangle ACD is similar to triangle ABD.

Segment AD is congruent to segment AC.

Answers

Answer:

Option B is correct.

Angle DAC is congruent to angle DAB

Step-by-step explanation:

Given: Segment AC is congruent to segment AB.

In ΔABD and ΔACD

$AB \cong AC$ [Given]

[Congruent sides have the same length]

AB = AC [Side]

AD = AD [Common side]

$\angle DAC =\angle DAB$ [Angle]

Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then by SAS,

$\triangle ABD \cong \triangle ACD$

By CPCT [Corresponding Parts of congruent Triangles are congruent]

then;

$\angle ABD \cong \angle ACD$

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB

The right answer for the question that is being asked and shown above is that: "Angle DAC is congruent to angle DAB." The statement that is used to prove that angle ABD is congruent to angle ACD is that Angle DAC is congruent to angle DAB.

What is the diagonal of a rectangle with length 48 inches and width 40 inches?

Answers

Use the Pythagorean Theorem: $a^2 + b^2 = c^2$
You can do this because when you cut the rectangle in half with the diagonal, it forms a right triangle, making the diagonal the hypotenuse (c).

$40^2 + 48^2 = c^2$

$1600 + 2304 = c^2$

$3904 = c^2$

$√(3904) = √(c^2)$

$62.48 = c$

Diagonal: 62.48 inches

i think its D=w2+l2=402+482≈ 62.482in

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