Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.​

Answers

Answer 1

Answer:

[tex]1.\ Given[/tex]

[tex]2.\ IV \cong VE[/tex]

[tex]3.\ \angle GVI \cong \angle RVE[/tex]

[tex]4.\ ASA\ congruence[/tex]

[tex]5.\ GV \cong VR[/tex]

[tex]6.\ Proved[/tex]

Step-by-step explanation:

Given

See attachment for right question format

Required

Complete the blanks

1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.

So, the reason is Given

2. Midpoint means halfway. So, we can fill the statement column with:

[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE

or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR

3. Vertical angle are congruent. So, the statement is:

[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent

4. We have:

[tex]\triangle GVI \cong \triangle RVE[/tex] because

[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)

[tex]IV \cong VE[/tex] ---- congruent sides (S)

[tex]\angle GIV \cong \angle REV[/tex]  --- congruent angles (A)

The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence

5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]

Hence, both sides are congruent ----[tex]GV \cong VR[/tex]

6. The given statement has been prived

Activity 2 Direction: Complete The Proof. Given: V Is The Midpoint Of |E, Angle| Cong Angle E Prove:

Related Questions

reduce 1/2 × 16/9 is to lowest form​

Answers

Answer:

The correct answer will be "[tex]\frac{8}{9}[/tex]".

Step-by-step explanation:

The given expression is:

= [tex]\frac{1}{2}\times \frac{16}{9}[/tex]

By applying multiplication, we get

= [tex]\frac{16}{18}[/tex]

= [tex]\frac{8}{9}[/tex]

Thus, the above is the lowest form.

A trinomial is a perfect square when two terms are
a. Positive
b.negative
c. Neither positve
d. Either negative

Answers

Answer:

a trinomial is a perfect square trinomial if it can be factorized into a binomial multiplies to itself. In a perfect square trinomial, two of your terms will be perfect squares.

If you have consistently been exercising during the school year but then take the
summer off, once school starts again your fitness level will be exactly the same as it
was before the summer.

A.
True
B.
False

1
SEE ANSWER⇒

Answers

Answer:

Step-by-step explanation:

B

Alix is 10 years older than tamia. Alanna is twice as old as tamia. If the sum of their ages is 74, how old is alanna

Answers

Answer:

Alanna is 32 years old

Step-by-step explanation:

Hi there!

We're given that Alix is 10 years older than Tamia and Alanna is twice as old as Tamia.

Since Alix and Alanna's ages are in relation to Tamia's, let's make Tamia's age x

Alix is 10 years older than Tamia, so Alix must be x+10 years old

Alanna is twice as old as Tamia, so she must be 2x years old

We're also given that Alix+Alanna+Tamia=74

When we substitute it with the expressions we have, it becomes:

x+x+10+2x=74

now combine like terms

4x+10=74

subtract 10 from both sides

4x=64

divide both sides by 4

x=16

We found the value of x (Tamia's age)

However, the problem asks for Alanna's age, which we have set as 2x

So Alanna is 2*16, or 32 years old

Hope this helps! :)

Answer:

32 years

Step-by-step explanation:

that is the procedure above

find the equation of the line passing through points A(3,4) and B(1,10)​

Answers

Answer:

y = -3x + 13

Step-by-step explanation:

First, find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]

Finally, find the equation:

[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]

What does a right angle look like

Answers

Answer:

It's a 90 angle, straight up and down, moving into straight right and left.

What is the volume of a rectangular prism that has a length of 15 mm, a width of 11 mm, and a height of 4 mm?

269 mm 3
660 mm 3
538 mm 3
1,320 mm 3

Answers

Answer:

Option 2: 660

Step-by-step explanation:

Multiply the three numbers together

Answer:

660mm 3

Step-by-step explanation:

Rectangular prism formula: V=LWH

15 x 11 x 4 = 660mm 3

Hope that helps <3

rewrite x+2y=-4 in slope intercept

Answers

Answer:

y= - 1/2 x-2 ( SEE IMAGE BELOW)

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

How do you write

x+2y=4

into slope intercept form?

Answer is:

y=−12x+2

Step-by-step explanation:

Slope intercept form can be represented as

y=mx+b

To get an equation into this form, we should try to get y all alone.

So then from x+2y=4

first, we can subtract x from both sidesand get 2y=−x+4

then, we can divide both sides by 2 to get it in slope intercept form

y=−12x+2

I think is like this. Hope it helps>3

QUICK PLEASE HELPPPPPPPPPPPP

Answers

Answer:  16

=====================================================

Explanation:

Set the expression equal to 100 and get everything to one side

[tex]d^2 - 12d + 45 = 100\\\\d^2 - 12d + 45 - 100 = 0\\\\d^2 - 12d - 55 = 0\\\\[/tex]

Now use the quadratic formula. We'll plug in a = 1, b = -12, c = -55.

[tex]\ d = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\ d = \frac{-(-12)\pm\sqrt{(-12)^2-4(1)(-55)}}{2(1)}\\\\\ d = \frac{12\pm\sqrt{364}}{2}\\\\\ d \approx \frac{12\pm19.07878403}{2}\\\\\ d \approx \frac{12+19.07878403}{2}\ \text{ or } \ d \approx \frac{12-19.07878403}{2}\\\\\ d \approx \frac{31.07878403}{2}\ \text{ or } \ d \approx \frac{-7.07878401}{2}\\\\\ d \approx 15.53939201\ \text{ or } \ d \approx -3.53939201\\\\d \approx 15.54 \ \text{ or } \ d \approx -3.54[/tex]

We'll ignore the negative d value as we can't have a negative number of days.

This means d = 15.54 is the only approximate solution we'll consider.

If we plugged in d = 15, then,

d^2 - 12d + 45

(15)^2 - 12(15) + 45

90

This tells us that 90 masks were sold on day d = 15.

Now try d = 16

d^2 - 12d + 45

(16)^2 - 12(16) + 45

109

We see that 109 masks were sold on day d = 16. Somewhere between those days, 100 masks were sold. At the end of the 15th day, we got to 90. So in the middle of day 16 is when we reach the exact 100 mark we're after.

In short, we would round d = 15.54 up to d = 16 so that we clear the hurdle.

In other words, if you rounded d = 15.54 to d = 15, then you'd be 10 masks short of the goal. Besides, 15.54 rounds to 16 when rounding to the nearest whole number.

How long does it take to get more skips

Answers

Answer: Just create an account and you have unlimited skips.

Two similar triangles are shown below:
Which two sets of angles are corresponding angles

Answers

Answer:

angle w and angle v; angle x and angle y (option 1)

Step-by-step explanation:

the little arc things are what tell you two angles are corresponding m

angles w and v both have two arc drawing things.

angle x and y have one

and the other angles that aren't labeled have three

convert .25 cups to mL?

Answers

Answer: 59.14706

Step-by-step explanation:

Answer:

59.14706 mL

Step-by-step explanation:

Formula is

for an approximate result, multiply the volume value by 237

which is 59.25

The quotient of 365.085 and 79.8

Answers

Answer:

4.575

Step-by-step explanation:

365.085/79.8=4.575

What are the values of m and 0 in the diagram below?

Answers

Answer:The correct answer is m= and θ = 30º.

Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is  and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) =  

where H is the hypotenuse, in this case, the radio.

θ =  ()

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) =  

m = cos 30º * H

m =  

m =  

Have a nice day!

..A tin of paint was 2/3 litres full. Tom used 1/2 of
the paint to paint his table. How much was left ?

Answers

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

What is the greatest common factor of 35 and 45?

Answers

GCF OF 35 AND 45 IS 5

12=x/5 plsss helpppppp

Answers

Answer:

The correct answer or value of xis 60

Step-by-step explanation:

12=x/5

or,12×5=x

or,60=x

Answer: 60

Step 1: Rewrite equation

12=x/5

Step 2: Get x alone on the right side

To solve this equation we will need to get x alone on the right side. We can do this by undoing the division with multiplication. This will have to be done to both sides by multiplying x/5 by 5 and 12 by 5.

Step 3: Solve equation

12=x/5

12•5= x/5 •5

60= x

A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:

Bacteria 1: y = 4x

Bacteria 2: y = 4x2

In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?

Answers

Answer:

bacteria 1

Step-by-step explanation:

i got it right

Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?

Answers

Answer:

Step-by-step explanation:

11 22 6 34 19

Line c has an equation of y=-1/6x+5. Perpendicular to line c is line d, which passes through the point (-3,-8). What is the equation of line d

Answers

Answer:

The equation of line d is [tex]y + 8 = 6(x + 3)[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which the slope is m and the point is [tex](x_0,y_0)[/tex]

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=-1/6x+5

Slope of - 1/6, so:

[tex]-\frac{1}{6}m = -1[/tex]

[tex]m = 6[/tex]

So

[tex]y - y_0 = 6(x - x_0)[/tex]

Passes through the point (-3,-8).

This means that [tex]x_0 = -3, y_0 = -8[/tex]. So

[tex]y - y_0 = 6(x - x_0)[/tex]

[tex]y - (-8) = 6(x - (-3))[/tex]

[tex]y + 8 = 6(x + 3)[/tex]

Help help help help help

Answers

Answer:

m(∠y) = 64°

Step-by-step explanation:

From the figure attached,

m(∠e) = 90°

m(∠b) + 67° = 180° [Linear pair of angles]

m(∠b) = 180 - 67

          = 113°

m(∠c) + 75° = 180°  [Linear pair of angles]

m(∠c) = 105°

m(∠a) = m(∠d)

By the property of a polygon,

Sum of the interior angles of a polygon is given by,

Sum of interior angles = (n - 2) × 180°

Here, n = number of sides of the polygon

For n = 5,

Sum of interior angles = (5 - 2)×180°

                                     = 540°

m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°

2m(∠d) + 113° + 105° + 90° = 540°

2m(∠d) + 308 = 540°

2m(∠d) = 540 - 308

m(∠d) = 116°

m(∠d) + m(∠y) = 180°

m(∠y) + 116° = 180° [Linear pair of angles]

m(∠y) = 64°

Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 6)

Answers

Answer:

-5 =x

Step-by-step explanation:

0 = In(x + 6)

Raise each side to base e

e^0 = e^ ln (x+6)

1 = x+6

Subtract 6 from each side

1-6 = x

-5 =x

find all possible values for each expression

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The sine function is negative only for angles greater than 180°. This eliminates choice B.

The sine function is periodic with a period of 360°, eliminating choices A and C.

The only viable choice is D, which is the correct one.

(2x - y + 3) (2x - y - 3)using identities ​

Answers

Step-by-step explanation:

(2x-y+3)(2x-y-3)=

4x²-2xy-6x-2xy+y²+3y+6x-3y-9=

4x²-4xy+y²-9=

(2x-y)²-9

PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR

ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE

TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED

PART 2, PART 1 ALREADY POSTED CHECK PROFILE​

Answers

Answer:

B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees

a = 6  because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.

c = 10. 876  because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c  

Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.

Step-by-step explanation:

Find each event probability

Answers

Answer:

Event 4 (0%), Event 2 (45%), Event 3 (80%), Event 1 (100%)

Step-by-step explanation:

Please help I have gotten through every problem except this one!

Answers

I think it’s 83 maybe

Answer:

Step-by-step explanation:

BUG is 30 degrees more than GUY

So that means if <GUY = x

< BUG = <GUY + 30

Together they make 180 degrees

<BUG + <GUY = 180        Substitute for <BUG

<GUY + 30 <GUY = 180  Combine

2*<GUY + 30 = 180          Subtract 30 from both sides

2*<GUY = 150                   Divide by 2

<GUY = 150/2

<GUY = 75

<BUG = 75 + 30

<BUG = 105

What transformation of the parent function f(x) is made to get f(−x)+1

Answers

Answer:

It moved one space to the right , so it is a translation.

Step-by-step explanation:

shown below.

Answer:

Handling Data and probability

The sound pressure P for a given sound is given by:
P= 10 log W/ Wo
Its units are decibels (dB). W is the size of a variable energy source (called the sound power), measured in Watts. Wo is the lowest threshold of sound that humans can typically hear. It is a constant given by:
Wo=10^-12 W/m2
a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.
b) If the variable sound power W is given by W = t2 +t +1, find the rate of change of the sound pressure P, at time t = 3s.
c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)

Answers

Answer:

a. 0.302 dB/s

b. 2.34 dB/s

c. 1.24 dB/s

Step-by-step explanation:

a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.

Since P = 10log(W/W₀), its rate of change with respect to time is

dP/dt = dP/dW × dW/dt

dP/dW = d[10logW - 10logW₀]/dt

dP/dW = d[10lnW/2.303 - 10logW₀]/dt

= 10/2.303W - 0

= 10/(2.303W)

dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × dW/dt

Since dW/dt = 0.5 when W = 7.2, then

dP/dt = 10/(2.303 × 7.2) × 0.5

dP/dt = 10/16.5816 × 0.5

dP/dt = 0.603 × 0.5

dP/dt = 0.302 dB/s

b) If the variable sound power W is given by W = t² + t + 1, find the rate of change of the sound pressure P, at time t = 3s.

Since P = 10log(W/W₀), its rate of change with respect to time is

dP/dt = dP/dW × dW/dt

dP/dW = d[10logW - 10logW₀]/dt

dP/dW = d[10lnW/2.303 - 10logW₀]/dt

= 10/2.303W - 0

= 10/(2.303W)

and dW/dt = d(t² + t + 1)/dt = 2t + 1

So, dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × (2t + 1)

dP/dt = 10(2t + 1)/(2.303W)

dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]

we then substitute t = 3 into the equation

dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]

dP/dt = 10(2(3) + 1)/[2.303((3)² + 3 + 1)]

dP/dt = 10(6 + 1)/[2.303(9 + 3 + 1)]

dP/dt = 10(7)/[2.303(13)]

dP/dt = 70/29.939

dP/dt = 2.34 dB/s

c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)

Since dP/dt = dP/dW × dW/dt and dP/dW = 10/(2.303W) and W = cos(0.2t), dW/dt = -0.2sin(0.2t)

So, dP/dt = dP/dW × dW/dt

dP/dt = 10/(2.303W) × -0.2sin(0.2t)

dP/dt = -20sin(0.2t)/(2.303W)

dP/dt = -20sin(0.2t)/(2.303cos(0.2t))

dP/dt = -20tan(0.2t)/2.303

when t = 15, we have

dP/dt = -20tan(0.2 × 15)/2.303

dP/dt = -20tan3/2.303

dP/dt = -20 × -0.1425/2.303

dP/dt = 2.8509/2.303

dP/dt = 1.238

dP/dt ≅ 1.24 dB/s

x/2-y/3=3,4x-3y=22
[tex] > < [/tex]

Answers

Answer:

x = 10

y = 6

Step-by-step explanation:

x/2 - y/3 = 3 - - - (1)

4x - 3y = 22 - - - (2)

From (1):

x/2 - y/3 = 3

(3x - 2y)/6 = 3

3x - 2y = 18 - - - - (11)

4x - 3y = 22 - - - - (2)

Multiply (11) by 1.5

4.5x - 3y = 27 _____(111)

4x - 3y = 22 - - - (2)

Subtract :

0.5x = 5

x = 5 / 0.5 = 10

From :

4x - 3y = 22

Put x = 10

4(10) - 3y = 22

40 - 3y = 22

-3y = 22 - 40

-3y = - 18

y = 6

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