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3 years ago

Please help, if you know how to do proofs in Geometry !

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

Step-by-step explanation:

1. T is the midpoint of QR, U is the midpoint of QS, and V is the midpoint of RS.

This is the information given in the problem statement.

2. TU, UV, and VT are midsegments

Midsegments connect midpoints of opposite sides. So TU, UV, and VT are midsegments.

3. TU = ½ RS, UV = ½ QR, and VT = ½ SQ

By Triangle Midsegment Theorem, a midsegment connecting the midpoints of two sides of a triangle is half the length of the third side.

4. TU/RS = 1/2, UV/QR = 1/2, VT/SQ = 1/2

Division property

5. TU/RS = UV/QR = VT/SQ

Transitive property

6. ΔQRS ~ ΔVUT

Since we've shown that the corresponding sides of these triangles are proportional, then by Converse of Similar Triangles Theorem, the triangles must be similar.

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Y=1/3x-3<br> Y=-x+5 <br> How do I solve

ehidna [41]

Since both equations are equal to y, we can just combine them like this:

1/3x-3=-x+5

1/3x=-x+8

4/3x=8 (since x is 1x which is 3/3x)

x=6

Plug x back in:

y=-6+5

y=-1

So x=6 and y=-1

Hope this helped!

4 0

3 years ago

Rectangle PQRS with vertices P(- 6, 9) , Q(3, 6); R(0, - 9) and S(- 9, - 6)

STatiana [176]

Answer:

multiply the original coordinate by 3 so its c

Step-by-step explanation:

multiply the original coordinate by 3

6 0

2 years ago

A bag contains white matarles and red marables,126 in total.The number of whit marables is 6 more than 5 than 5 times the number

denis-greek [22]

Answer:106

Step-by-step explanation:

Let number of white marbles be w

Let number of red marbles be r

w+r = 126---------1

w = 6 +5r-----------2

Put eqn 2 in eqn 1

6+ 5r + r = 126

6 + 6r = 126

6r = 120

r = 20

w = 6 +5r =6+100

= 106

3 0

3 years ago

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Alinara [238K]

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

6 0

3 years ago

Read 2 more answers

Which function below is the inverse of f(x) = x^2-9

USPshnik [31]

To find the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)

f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
$\sqrt{x+9}$
replace
f⁻¹(x)= $\sqrt{x+9}$

that is the inverse

5 0

3 years ago