[tex] \underline{ \underline{ \text{question}}} : [/tex]
In the given figure , AP = BP = PC. Prove that [tex] \angle[/tex]ABC = 1 rt.angle.
~Thanks in advance ! ♡
Answer:
See Below.
Step-by-step explanation:
In the given figure, AP = BP = PC.
And we want to prove that ∠ABC is a right angle.
Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.
By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be x°.
Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.
And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to x°.
And since the sum of the interior angles of a triangle total 180°, we acquire:
[tex]\angle PAB+\angle PBA+\angle PCB+\angle PBC=180[/tex]
Since they are all equivalent:
[tex]4x=180[/tex]
Hence:
[tex]x=45^\circ[/tex]
∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:
[tex]\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ[/tex]
Answer:
this is your answer look it once.
Find the distance between (1,2) and (-3,5)
Answer:
5
Step-by-step explanation:
√((5-2)^2 + (-3-1)^2) = √(9+16) = 5
Answer:
5 units
Step-by-step explanation:
To Find :-
DistanceSolution :-
Using Distance Formula ,
> d = √[ ( 1 +3)²+ ( 2-5)² ]
> d = √[ 4² + 3² ]
> d = √ [ 16 + 9 ]
> d = √25
> d = 5
PLS I NEED HELP ANSWERING THIS
Answer:the second one Bit equuls -3
Step-by-step explanation:
negitive x negitive = positive -5x-3=15
Which linear inequality is represented by the graph?
a.) y < 3x + 2
b.) y > 3x + 2
c.) y < 1/3x + 2
d.) y > 1/3x + 2
Answer:
A
Step-by-step explanation:
The Y intercept is positive 2 and your slope would be 3. y2-y1/x2-x1
Solve for x.
x2 – 13x + 12 = 0
A. x = -12 and x = -1
B. X = -12 and x = 1
C. X= 12 and x = -1
D. X = 12 and x = 1
last one is the answer:D. X=12 and X=1
step by step:
d=b2-4ac=169-48=121
x1=(-b+√d)2a=(13+11)2=12
x2=(-b-√d)2a=(13-11)/2=1
X1=12 and X2=1
please give me brainlest❤️
I need help with this question
Answer:
4x+10=90.
Step-by-step explanation:
The angle EVD forms a right angle. right angles are equal to 90. if the angle is 90 and is shown by the equation 4x+10 then 4x+10=90
30 points for whoever helps George Washington...please
Answer:
A
Step-by-step explanation:
A is equal to 5d-5
I just went through all eh choices
It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out
D is impossible becuase you can’t jsut flip a subtraction problem
And A is possible because adding a negative basically means subtracting so if flipped The signs have to change
Moesha needs $79 for a class trip. She already has $22 and she can earn the rest by babysitting for 8 hours. If h represents her hourly earnings,
which of the following equations can be solved to find Moesha's hourly
earnings? Select all that apply.
Answer:
79-22=8h
Step-by-step explanation:
She can earn the rest by babysitting for only 8 hours,
so take 22 from 79, divide the total by 8 and that is how much she gets per hour (8h)
Answer:
79.5 = 22.35 + 8
I got it correct with with answer.
Literal Equations: Solve for p:
5(4x + p)=w
Answer:
Step-by-step explanation:
Simplifying
5(4x + p) = w
Reorder the terms:
5(p + 4x) = w
(p * 5 + 4x * 5) = w
(5p + 20x) = w
Solving
5p + 20x = w
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-20x' to each side of the equation.
5p + 20x + -20x = w + -20x
Combine like terms: 20x + -20x = 0
5p + 0 = w + -20x
5p = w + -20x
Divide each side by '5'.
p = 0.2w + -4x
Simplifying
p = 0.2w + -4x
Hello, can someone simplify 7^15/7^22? Thanks.
Answer: 1.21426567 • 10^-6
or 1/823543
Step-by-step explanation:
which property does this represent: (5+7)+6=5+(7+6)
Answer:
kjnksafnkjd
Step-by-step explanation:
fkja jknfknla
HELP ITS DUE AT 8:00 I WILL MARK YOU HAS BRAINLIEST PLSSSSS
Answer:
-5 4/5
Step by Step:
-15.6 - 3.2 = -5.8
-5.8 > -5 4/5
Please help me ASAP...
=========================================================
Explanation:
Point Q is located at (0,w). We see that x = 0 and y = w.
So we'll replace x with 0 and y with w. Then we solve for w.
2x+3y = -12
2(0)+3(w) = -12
0+3w = -12
3w = -12
3w/3 = -12/3
w = -4
In the second to last step, I divided both sides by 3 to undo the multiplication of 3. Saying 3w means "3 times w".
Side note: The point Q is the y intercept as this is the location where the diagonal line 2x+3y=-12 crosses the vertical y axis.
Anyone know how to do this?
Answer:
no
Step-by-step explanation:
Answer:
Nope sorry.
Step-by-step explanation:
Find the difference.
(13x + 4) - (8x + 2)
Answer:
5x+2
Step-by-step explanation:
Answer:
5x + 6
Step-by-step explanation:
Please help brainiest will be award
Answer:
the answer is c
Step-by-step explanation:
9. Which is true about the given line?
A. Its slope is 3/2 and goes through (-1, -1).
B. Its slope is 2/3 and goes through (1,4).
C. Its slope is 3/2 and goes through (-3,-2).
D. Its slope is 2/3 and goes through (2,-4).
Answer:
C
Step-by-step explanation:
The line goes right 2 up 3 so the slope must be 3/2. You can track the point (-3,-2) on the line in the graph.
Plz help me quickly!!!!!!!
The girls basketball team lost 15% of their games. If they lost 3 games, how many total games did they play?
Answer:
The girls played 20 games.
Step-by-step explanation:
To fins how many games played. Divide the percentage lost by the number of games lost. Then divide the quotient from 100% to find how many games were played.
15% ÷ 3 = 5
100% ÷ 5 = 20 games
Select all the statements that are true.
2.3 + ( - 2.3 ) is equal to zero.
( -3.7 ) + ( -4.1 ) is positive.
-2.6 - ( -12/4 ) is positive.
5/2 + ( -2.5 ) is negative.
72 - ( -100 ) is negative.
Answer:
The 1st and the 3rd one
Step-by-step explanation:
2.3+(-2.3) ➡ 2.3 -2.3 = 0 ,so this option is correct
-3.7+(-4.1) ➡ -3.7 - 4.1 = -7.8 so this option isn't correct
-2.6-(-12/4) ➡-2.6 + 3 = 0.4 this option is also correct
(5/2)+(-2.5) ➡ 5/2 -5/2 = 0 this would be undefined because we can't divide 0 by 2 or any other rational numbers
E.72-(-100) ➡72+100= 172 this option is incorrect because 172 is positive
140 people who watch a movie, 40% brought popcorn, 30% brought pretzels and 10% brought ber pizza.
-------------------------------------------------------------------------------------------------------------------------------
number of people who brought popcorn :
number of people who brought pretzels:
number of people who brought pizza :
please answer this quick its of a quiz im doing please and thank u !! :)
I WILL MARK BRAINLIST !!!! Samira has soup cans in her pantry. • 3 cans of chicken soup • 2 cans of vegetable soup 3 cans of potato soup 1 can of pea soup • 6 cans of tomato soup Samira will randomly choose a can of soup, put it back and choose another can. What is the probability that she will choose tomato soup and then potato soup?
Answer:
2/25
Step-by-step explanation:
You're welcome :)
Who can help me with this ?
Answer:
I believe the measure of the sum of interior angles of square is 360 degrees, and we know that all the angles are equal to 3x. You'd set up the equation to look like 3x+3x+3x+3x=360
simplify that, and you get 12x=360
this means x= 30
3m-2n=12
M=
Please help me
Answer: m = 14
Step-by-step explanation:
3m-2n=12
3 + 11 = 14m.
14m - 2n = 12.
m=11.
Answer: 2/3n +4
Step-by-step explanation:
Explanation in the photo :)
Please help me answer this !!!!
Answer:
d = 101
Step-by-step explanation:
t = 11
11 x 11 = 121
-20 + 121 = 101
check: 101- 121 = -20 (correct)
|(1)
Mary gave some money to four of her nieces.
It was shared in proportion to their ages.
Jane
4
Heather
11
Laura
9
Kate
6
Kate's share is £1950.
Calculate the total amount Mary gifted her nieces.
lications of Mathematics
Answer:
Step-by-step explanation:
Mary gave some money to four of her nieces.
It was shared in proportion to their ages.
Jane
4
Heather
11
Laura
9
Kate
6
Kate's share is £1950.
Calculate the total amount Mary gifted her nieces.
lications of Mathematics
What is the answer and better be quick, with an explanation.
Answer:
The first blank is ‘the same’ the second blank is ‘proportional’
Step-by-step explanation:
how can i explain when the answer is already an explanation
9 A small triangle and a larger triangle are shown.
7 inches
7 inches
6 inches
18 inches
The two triangles are similar.
What is the perimeter of the larger triangle?
A
B
с
D
38 inches
46 inches
54 inches
60 inches
Answer:
it will be b
Step-by-step explanation:
An equation is shown below.
3(x - 2) + 7x = {(6x - 2)
How many solutions, if any, does the equation have?
Show your work. No
Answer:
One solution. x=1
Step-by-step explanation:
Answer:
The equation has 1 solution, x = 1
CASLANABCD is a curve, made up by line segments. AB=2cm, BC=4cm, CD=3cm.
Can AD be:
1) 1cm
2) 4cm
3) 10cm
Answer:
ABCD is a curve, made up by line segments. AB=2cm, BC=4cm, CD=3cm.
Can AD be:
1) 1cm
2) 4cm
3) 10cm
Step-by-step explanation:
3