Help with numbers 3 and 5

TEA [102]

Answer:

Correct answer B

Step-by-step explanation:

Choose one point of the original rectangle In this case I chose E. I translated it 6 to the left and three down and I ended up at point M. Rotating the rectangle, the original rectangle will match up with the second rectangle.

7 0

3 years ago

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠T ≅ ∠Y and RT ≅ WY?

sergejj [24]

Answer:

Hence, option A is correct.

Step-by-step explanation:

We are asked to find the fact such that ΔRST and ΔWXY are congruent.

Since, we are given: ∠T ≅ ∠Y and RT ≅ WY.

we are given the following assumptions:

∠W = x + 5

∠X = 3x - 9

∠Y = 2x + 4

as we are given one angle congruent and one side congruent so in order to prove two triangles are congruent we just need to show that one more pair of angles are congruent.

so from the two triangle we could have that ∠W≅∠R

and ∠X≅∠S

Now we will go by options:

A)

if ∠S=2x+20 then as ∠X≅∠S.

3x-9=2x+20

x=29

∠S=∠W=78°.

B)

if ∠R = 2x + 20 then as ∠W≅∠R

⇒ x+5=2x+20

⇒ x= -15 which is not possible as it will make measure of angle W negative (x+5= -15+5= -10)

C)

if ∠S=2x^2+5 then as ∠X≅∠S.

⇒ 3x-9=2x^2+5

⇒ 2x^2-3x+14=0

on solving this quadratic equation we will get complex zeros.

Hence, option (C) is not correct.

D)

if ∠R = 2x

^2

+ 5 then as ∠W≅∠R.

⇒ x+5=

2x

^2

+ 5

⇒ 2x^2-x=0

⇒ x(2x-1)=0

either x=0 or x=1/2 which is not possible.

because by putting this x value in all the angles we see that sum of all the angles of a triangle is not equal to 180°

Hence, option D is not possible.

Hence, option A is correct.

4 0

4 years ago

PLS HELP

Korvikt [17]

Answer:

7 inches

Step-by-step explanation: Every 1 inch = 50 miles. So every 50 miles of tunnel is 1 inch in a scale drawing. 350miles/50 miles=7 inches.

The scale drawing is 7 inches.

4 0

4 years ago

Read 2 more answers

Find the value of x . Round your answer to the nearest tenth.

Sunny_sXe [5.5K]

I think its either 9 or 10

5 0

3 years ago

Can someone please help I need a clear explanation on how to solve this equation.

nikitadnepr [17]

B = amount of students who chose Bulldog

n = amount of students who chose lion

t = amount of students who chose tiger

so.. "t" chose tiger, ok

"Four times as many students chose Bulldog as chose Tiger"
namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus

b = 4t

"Twice as many students chose Lion as chose Tiger"
namely, if "t" students chose tiger, twice as many chose lion

n = 2t

now, we know a total of 273 students were surveyed, thus

 $\bf \begin{cases}
b+n+t=273\\
\boxed{4t}+\boxed{2t}+t=273
\end{cases}
\\\\\\
7t=273\implies t=\cfrac{273}{7}\impliedby \textit{that many chose \underline{tiger}}$

6 0

4 years ago

Read 2 more answers