MATHEMATICS HIGH SCHOOL

Line SU bisects angle RST. Which statement is NOT true?A) ∠RST = ∠RSU
B) ∠RSU = ∠UST
C) ∠SQU = ∠SPU
D) PS = QS
Line SU bisects angle RST. Which statement is NOT true? - 1

Answers

Answer 1
Answer: In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B
Answer 2
Answer:

Answer : The incorrect option is, (A) ∠RST = ∠RSU

Step-by-step explanation :

As we are given that, line SU bisects angle RST and SPUQ is a rhombus.

First we have to determine that ΔSQU and ΔSPU are congruent triangles.

Proof:

Side SU = Side SU (common side)

∠SQU = ∠SPU (In rhombus opposite angle are always equal)

∠RSU = ∠UST (angle bisector)

ΔSQU ≅ ΔSPU (By ASA congruency)

So, Side PS = Side QS

∠RST = ∠RSU this option is wrong because \angle RSU=(1)/(2)\angle RST

Thus, the incorrect option is, (A) ∠RST = ∠RSU

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A system in a noisy environment transmits 11111 or 00000 when 1 or 0 are transmitted to decrease the probability of error. Suppose the probability that one of the 5 transmitted bits is corrupted from 1 to 0 is 0.3 and the probability that a bit is corrupted from 0 to 1 is 0.1. Given that the probability that the system transmits a 0 or a 1 is equally likely, if 01101 was received what is the probability that a 1 was transmitted.

Answers

Answer: The probability that a 1 was transmitted is (0.3)²(0.7)³ which = 0.031

Step-by-step explanation:

The attachment below simply explains how to solve it using Bayer's rule

Solve for x: 6x – 8y = 12

Answers

Hi there!


Since we have 2 variables in the given equation, and you only want to solve for one, the other will end up in your answer.


6x + 8y = 12


Step 1) Add 8y to both sides.


6x - 8y + 8y = 12 + 8y 6x = 8y + 12


Step 2) Divide both sides by 6.


(6x)/(6) = (8y + 12)/(6)


x = (4)/(3) y + 2


Final Answer -


x = (4)/(3) y + 2


Hope this helps! :D
        6x - 8y = 12
6x - 8y + 8y = 8y + 12
               6x = 8y + 12
                6          6
                 x = 1¹/₃y + 2

Solve the following system of equations?x + 3y - z = 2
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
b)(-2, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)

Answers

1x + 3y - 1z = 2    ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7    ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21             5y - 4z = -5
                                                                     5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2                                          -4y + 8z = -28 ⇒ -20y -  40z = -140        1x - 2y + 3z = 7     ⇒ 1x - 2y + 3z = 7                                              -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21                                            -24      -24
                                       -4y + 8z = -28                                                  z = 5
                                                                                                    5y - 4(5) = -5
                                                                                                      5y - 20 = -5
                                                                                                           +20   +20
                                                                                                             5y = 15
                                                                                                              5      5
                                                                                                               y = 3
                                                                                                x + 3(3) - 5 = 2
                                                                                                    x + 9 - 5 = 2
                                                                                                         x + 4 = 2
                                                                                                              -4  -4
                                                                                                               x = -2
                                                                                                      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).

Solve 5m − 3h = 45 for h. Show your work.

Answers

Answer:

h =  -15 +(5)/(3).

Step-by-step explanation:

Given  :  5m − 3h = 45.

To find : Solve  for h.

Solution : We have given 5m − 3h = 45.

On subtracting both sides by 5m.

- 3h = 45 - 5m.

On dividing both sides by -3 .

h = (45 - 5m)/(-3).

h = (45)/(-3) +(5)/(3).

h =  -15 +(5)/(3).

Therefore , h =  -15 +(5)/(3).
5m-3h= 45
-5m -5m
(-3h= 45-5m)/(-3) to get h alone.
h= (-45/3)-(5/-3)m, simplify
h=-15+(5/3)m

- 4x + 9y = 9
-8x + 10y = 10

Answers

Answer:

y = 1, x = 0

Step-by-step explanation:

multiply -4x +9y = 9 by -2 to get 8x -18y = -18

combine the two equations to get -8y = -8

divide both sides by -8 to get y = 1

plug in 1 as the y into one of the equations and solve to get x = 0

Answer:

(0,1)

x = 0

y = 1

Step-by-step explanation:

(-4x + 9y = 9)-8

(-8x + 10y = 10)4

32x - 72y = -72

-32x + 40y = 40

-32y = -32

y= -32/-32

y=1

-4x + 9(1) = 9

-4x + 9 = 9

-4x = -9 + 9

-4x = 0

x = 0/-4

x = 0

What is another way to write 4 hundreds?

Answers

There is 3 form that mostly used in math: standard form, expanded form and word form. In this question, 4 hundred would be word form. So, to write 4 hundred in a different form the answer would be:

Standard form: 400
Expanded form : 4x100
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