Similar triangles may or may not be congruent.
The congruent criterion to use in her proof is (b) SAS theorem
From the question, we understand that she draws an angle bisector from [tex]\mathbf{\angle Q}[/tex] to side PR
This means that, either sides of angle Q are congruent. (this is represented by A i.e. angle)
When [tex]\mathbf{\angle Q}[/tex] is bisected, sides PB and RB become congruent
i.e. [tex]\mathbf{PB \cong RB}[/tex] ... (this is represented by S i.e. side)
Lastly, both triangles share a common side at QB .. (this is also represented by S i.e. side)
So, we have: SAS
Hence, the congruent criterion to use in her proof is (b) SAS theorem
Read more about similar and congruent triangles at:
https://brainly.com/question/19589236
To approximate the length of a lake, a surveyor starts at one end of the lake and walks 245 yards. He then turns 110 and walks 270 yards until he arrives at the other end of the lake. Approximately how long is the lake?
Answer:
Surveying To approximate the length of a marsh, a surveyor walks 250 meters from point to point , then turns and walks 220 meters to point (see figure). Approximate the length of the marsh.
hope it helped
Step-by-step explanation:
The approximate length of the lake is 625 yards.
Given that, a surveyor starts at one end of the lake and walks 245 yards.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
He then turns 110 and walks 270 yards until he arrives at the other end of the lake.
Total length of the lake is
245+110+270 =625 yards
Therefore, the approximate length of the lake is 625 yards.
Learn more about the total here:
https://brainly.com/question/15842940.
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please help (view screenshot)
can someone please help me as soon as possible
Answer:
a quadratic function is letter A
2) translation: 2 units up
Q(-4,-2), R(-4,-2), s(0, -2), t(-3-5)
Answer:
Q'(-4,0), R'(-4,1), S'(0,0), T'(-3,-3)
Step-by-step explanation:
To solve this, what we need to do is find out what the translation is. So if we are translating those coordinates up two units, then that means we are basically adding two to the y value.
So that means that we will use the mapping (x,y)→(x,y+2)
Now we plug this in. We will start with Q:
Q(-4,-2)→Q'(-4,-2+2)→Q'(-4,0)
So when Q is translated two units up, we get Q'(-4,0).
Now we will do R:
R(-4,-1)→R'(-4,-1+2)→R'(-4,1)
So when R is translated two units up, we get R'(-4,1).
Now we will do S:
S(0,-2)→S'(0,-2+2)→S'(0,0)
So when S is translated two units up, we get S'(0,0).
Next we will do T:
T(-3,-5)→T'(-3,-5+2)→T'(-3,-3)
So when T is translated two units up, we get T'(-3,-3).
Answer:
Step-by-step explanation:
Hello there !
[tex]\boxed{\begin{array}{c|c} \boxed{\bf x} & \boxed{\bf y+2} \\ -4 & 0 \\-4&1\\0\!\!\!\!&0 \\ -3 &-3 \end {array }}[/tex]
I need this bonus question
Answer:
52 units^2
Step-by-step explanation:
The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.
A_dresser = LW = 4(3) = 12 units^2
The area of the bed is a little more complicated, but you can get by using just areas of rectangles.
See the picture below.
Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.
The area of the square is 81 units^2.
We need to subtract the areas of the 4 triangles at the corners.
There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.
There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.
Now subtract 25 and 16 from 81 to get the area of the bed.
81 - 25 - 16 = 40
A_bed = 40 units^2
Combined area of bed and dresser:
A = 40 units^2 + 12 units^2 = 52 units^2
Answer: 52 units^2
Here's another way of finding the area of the bed:
Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:
31 + 1/2 * 18 = 31 + 9 = 40
You get 40 units^2
Anyone pls answer this question.
Plz, can anyone answer this question
Solve the simultaneous equation
2x-5y=9
3x+4y=2
Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]
Cancel the common factor of 2.
Divide x by 1.
[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]
[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]
----------------------------------------------------------------------------------------------------------------
3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]
Cancel the common factor of 3.
Divide x by 1.
[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]
[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]
350 x 593 = _____
50 points.. very rare.. hurry up to answer :)
Answer:
the answer is 207550
.............................
In QRS, Q = S, SQ = 5 and RS = 11. Find the length of QR.
Angle Q = 31°
Angle R = 118°
Angle S = 31°
I need help with a and b!
Answer: first a it’s left side is shorter while on the other polygoes there left sides longer for the first two
in the third one it goes size wise
Step-by-step explanation:
A. Annie is correct. Keegan did not regroup properly. B. Keegan is correct. Annie did not regroup properly. C. Keegan is correct. Annie did not line up the decimals correctly. D. Annie is correct. Keegan did not line up the decimals correctly.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is C
Keegan is correct, Annie didn't line up the decimals correctly.
geometry pls help! im
beggingggg!
Answer: D; B
Step-by-step explanation: 1 and 4 are alternate exterior angles if you use process of elimination, all the other pairs are, alternate exterior, corresponding or same side interior angles. angles 1 and 4 are in between lines a and b when lines a and b have the transversal of c. with process of elimination, c is the only logical answer, as 1 and 4 both lie on that line. which leaves you with two answers. if you draw out lines a and b with a transversal of c and the lines b and e with the transversal of c, then B is the only logical answer. goodluck :) i just finished this unit :D
If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))
Answer:
B
Step-by-step explanation:
x = -5
Put in -5 for x, and expand:
-40(k-x) = -40(k+5)
B. -40(k+5)
in need of desperate help, lol not super desperate, just confused, thanks so much!
Answer:
Step-by-step explanation:
The km/minute is different for segment, so "The train does not always go . . ."
Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.
===
Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.
EQUILATERAL
ISOSELES
SCALENE
Answer:
isoseles triangle
explanation: none of the sides are the same
hope this helps
Answer: SCALENE
Step-by-step explanation:
All sides are unequal, ISOSELES has 2 equal sides and EQUILATERAL all sides are equal.
–5(–2)=
i will mark branliest for whoever finds the integers! this is brain-hurting, please help :(
Answer:
-5(-2)=10
Step-by-step explanation:
Let be x
[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]
May u give all the answers to these? please and thank you! <3
---------------------------------------------------------------------
Write an equation for the statement
(this applies for all of them <3)
1. The product of nineteen and a number x is seven
2. The sum of a number x and negative thirty is two
3. A number x divided by negative twenty-seven is eight
4. Twelve less than a number x is five
5. One-third of a number x is three
Answer:
1. 19 (x) = 7
2. -32 + x = 2
3. x ÷ -27 = 8
4. x - 12 = 5
5. 1/3 (x) = 3
Step-by-step explanation:
:)
The oldest elephant at a zoo eats 162 pounds of hay per day. This elephant eats 3 times as much hay as the youngest elephant. How much hay does the youngest elephant eat per day?
A 54 pounds
B 59 pounds
C 53 pounds
D 64 pounds
Answer:
A.54
Step-by-step explanation:
because 162 divided by 3 equal 54.3
20x+17=35x+30 help
Is due tomorrow
Answer:
x=[tex]-\frac{13}{15}[/tex]
or 15x=-13
Step-by-step explanation:
20x+17=35x+30
20x-35x=30-17
-15x=13
x=[tex]-\frac{13}{15}[/tex]
An airline estimates that 97% of people booked on their flights actually show up. If the airline books 70 people on a flight for which the maximum number is 68, what is the probability that the number of people who show up will exceed the capacity of the plane? O 0.119 O 0.649 O 0.375 O 0.257
Answer:
0.649
Step-by-step explanation:
The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.
What is Binomial Probability distribution?Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.
Binomial distribution formula can be written as,
P(x) = ⁿCₓ pˣ qⁿ⁻ˣ
where, n is number of experiments and x = 0, 1, 2, ...
Here, it is given that capacity of plane is 68
Number of people actually booked for flight is 70 ⇒ n = 70
Probability that people booked on their flight actually show up = 0.97
So, p = 0.97
⇒ q = 1 - p = 1 - 0.97 = 0.03
Let P be the probability that the number of people showing up exceed the capacity of the plane.
P = P (x = 69) + P (x = 70)
P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]
P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]
P = 0.2562 + 0.00357
P = 0.2598 ≈ 0.257
Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.
To learn more on binomial probability distribution, click:
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6. What type of slope does the equation
7x + 3y = 15 have? (Hint: convert to slope
intercept form.)
A) positive
B) Negative
C) Zero
D) Undefined
We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.
Since 7x + 3y = 15
3y = -7x + 15
y = - ⁷/₃x + 5
∴ the slope is NEGATIVE.
Check your answer:
A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.
answer po plss plss plsss plss
Answer:
Step-by-step explanation:
16.) (3/5)+(-13/5) = (3-13)/5
(3-13)/5 = -10/5, or -2
17.) -1 3/20 - (-3/4)
-(20/20+3/20) + (3/4)
-23/20 + 3/4
-23/20 + 15/20
-8/20
-2/5
18.) (-8/15)/(-1+1/3)
(-8/15)/(-3/3+1/3)
(-8/15)/(-2/3)
(-8/15)*(-3/2)
24/30
4/5
Can someone please help im very bad at these
Answer:
of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.
Step-by-step explanation:
For the first one, the equation would be 1/3(30)
for the second, the equation would be 3/2(30)
and the last on would be the same as the first. 1/3(30)
Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.
Answer:
y-4=1x-4
Step-by-step explanation:
put in format : y2-y1=m(x2-x1)
y-4 = 1(x-4)
distribute
y-4=1x-4
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
(0.2a - 0.5b) ( 0.2a + 0.3b) multiply the following
plz sent with the equation right now plz plz
Answer:
The answer is 0.04a² - 0.04ab - 0.15b²
Step-by-step explanation:
(0.2a - 0.5b) ( 0.2a + 0.3b)
0.04a² + 0.06ab - 0.1ba - 0.15b²
0.04a² + 0.06ab - 0.1ab - 0.15b²
0.04a² - 0.04ab - 0.15b²
Thus, The answer is
0.04a² - 0.04ab - 0.15b²
-TheUnknownScientist 72
Abboy has 800, he spend 160. What fraction of his original money does he have left
Answer:
80%
Step-by-step explanation:
800-160=640
640/800=.8
.8=80%
QUICK HURRY I NEED THE ANSWER TOO 10(-11) HURRY!!!!!
Answer:
-110
Step-by-step explanation:
Answer:
-110
Step-by-step explanation:
2.) A group of kids ate 3/4 of a pizza. If each kid ate a 1/8 piece of the whole pizza, how many kids shared the pizza? *youre answer?