Given:
∠
A
E
D
≅
∠
A
C
B
.
∠AED≅∠ACB.
Prove:
∠
A
B
C
≅
∠
A
D
E
∠ABC≅∠ADE.
The triangles have a common vertex angle, and a given pair of
corresponding and congruent angles, they are therefore similar triangles.
∠ABC ≅ ∠ADE (CASTC)Reasons:
The given parameters are;
∠AED ≅ ∠ACB
By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =
∠BAC in common.
Therefore, ∠DAE ≅ ∠BAC, by reflexive property.
Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in
ΔACB.
(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA
Angle-Angle similarity postulate, and by Corresponding Angles of Similar
Triangles are Congruent CASTC we have;
∠AED ≅ ∠ACB
∠DAE ≅ ∠BAC
∠ABC ≅ ∠ADELearn more here:
https://brainly.com/question/4638844
Brent went for a bicycle ride. The clocks show his start time and his
end time. How long did Brent ride his bicycle?
Answer:
He rode his bicycle for 40minutes
Hope it helps:)
help a friend out?
Solve and graph the absolute value inequality: 12x +41 > 8.
Answer:
Answer is C
The inequality is x
<−6 or x>2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
| 2x + 4 | > 8
Case I Case II
2x + 4 > 8 -(2x +4) > 8
-4 -4 -2x - 4 > 8
2x > 4 +4 +4
x > 4/2 -2x > 12
x > 2 -x > 12/2
-x > 6
x < - 6 Multiply by -1 will change the inequality sign.
x > 2 and x< - 6
x > 2 open circle at 2 and shade to the right.
x < -6 open circle at -6 and shade to the left
Find the slope of the line through each pair of point
Answer:
what are the pair of points?
Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.
Answer:
Step-by-step explanation:
i guess we will never know.
Please help out. I'm lost. I don't understand this :/
Step-by-step explanation:
15 . triangle on number 15 is an isoseles because it has two sides that are equal
and also it has two angles that are equal
16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different
Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.
A) 0.067
B) 4
C) 15
D) 75
Answer: 15
Step-by-step explanation: I took the test.
Answer:
C.) 15
Step-by-step explanation:
[tex]\sf 15=2m-9[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of m is equal to :
[tex]12[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
➢ 15 = 2m - 9
➢ 15 + 9 = 2m
➢ 2m = 24
➢ m = 24 ÷ 2
➢ m = 12
[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
3.5 hours
Step-by-step explanation:
You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5
Divide both sides by 60 to isolate x
x=3.5 hours
Hope this helps you! :)
[tex]GraceRosalia[/tex]
does anyone know how to do this?
WILL GIVE BRAINLIEST ANSWER!!!
(a) Find the image of (6,2) under T (1,4)
(b) Find the image of (3,1) under r y=0
(c) Find the image of (−1,−3) under R (0,0),180
(d) Find the preimage of (2,1) under T ( −3,−4)
Answer:
a is (7,6)
b is (3,-1)
c is (1,3)
d is (5,5)
Step-by-step explanation:
f(x) = -3/5x - 17 if f(x) = -2, find x
f(x) = -11 - 1/6x if f(x) - -25, find x
Answer:
x = - 25 , x = 84
Step-by-step explanation:
Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides
- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )
- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )
- 3x = 75 ( divide both sides by - 3 )
x = - 25
---------------------------------------------------------
Similarly equate right sides
- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )
- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )
- x = - 84 ( multiply both sides by - 1 )
x = 84
A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?
Answer:
$2.25
Step-by-step explanation:
5 lbs = $11.25
The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:
$11.25 ÷ 5 = $2.25
Hope this helps!
Answer:
2.25 ($) per pound
Step-by-step explanation: 11.25 / 5 = 2.25 per pound Alternative workings we simply divide by 10 to find 11.25 / 10 = 1.125 then multiply by 2 1.125 * 2 = 2.25 ($) per pound
Given g(x)=-x+3g(x)=−x+3, find g(1)
Answer:
g(1) = 2
Step-by-step explanation:
g(x)=−x+3
g(1)=
Let x = 1
g(1) = -1+3 = 2
Can some one pls help me
Answer:
look at the picture i have sent
A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?
Answer:
$175.07 will be taken off
Step-by-step explanation:
287x61/100
17507/100
175.07
i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?
Answer:
Q(-1 , 6)
Step-by-step explanation:
Midpoint M(5 , -2)
[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]
11 + x₂ = 10 ; -10 + y₂ = -4
x₂ = 10 - 11 ; y₂ = - 4 + 10
x₂ = -1 ; y₂ = 6
Q(-1 , 6)
the coordinates of point Q is (-1,6)
Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.
Answer:
no.
Step-by-step explanation:
half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 12 N acts on a certain object, the acceleration
of the object is 6 m/s?. If the acceleration of the object becomes 4 m/s, what is the force?
Answer:
8N
Explanation:
Since Force is proportional to acceleration,
F1/a1=F2/a2
Therefore;
12/6=F2/4
F2=(12*4)/6
=8
Shylan's vegetable garden is florishing. She has
20 plants in her garden which are broken into
equal rows. 1/5 of the rows are cucumbers and
40% of the rows are squash. 1/2 of the
remaining rows are tomatoes. How many
pepper plants does she have?
Answer: 90millionhajk
Step-by-step explanation:
Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left
Answer:
He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.
Step-by-step explanation:
welcome
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
Please help me solve this ASAP please!
(x + 9)/2 = 3x
Multiply both sides by 2 since the left is divided by 2.
x + 9 = 6x
9 = 5x
x = 9/5 or 1 4/5
guys pls help me!!!!!!
Answer: 100
Step-by-step explanation:
A line equals 180 so subtract 180-80 to get your answer.
10+10= hhihihhhiihihihih
Answer:
10+10=1010
Step-by-step explanation:
brainliest?
Answer:
20 lol
And hi!
In the diagram, a || band b || c. Find the values of a
12x + 610
106°
The values of u are and
A television that costs $500 is marked up by 250%. What is the new price of the television?
Answer:
Its $1,750
Explanation: I got it right
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x -1
............
What is the reciprocal of -3 2/7 in fraction form?
Answer:
7/23
Step-by-step explanation:
3 2/7 - so 7 times 3 is 21, plus the extra 2 is 23, so it then becomes the improper fraction 23/7, which switched becomes 7/23
Answer: is in picture below
Someone help me with this I will make you brain
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
H
13. Stretch Your Thinking Jenny and George combined their
allowances to buy the same present for each of their four
teachers. Jenny had $13.75. George had $2.26 less than
Jenny. How much did one present cost?
Answer: One present cost 6 dollars and 31 cents.
Step-by-step explanation:
Ok so first you subtract 2.26 from 13.75 to find out the total that George has.
That would be 11.49.
Next you add them together because they combine allowances.
So thats 25.24.
Next you divide this by 4 because they are buying the same present for their four teachers, therefore all will be the same price.
This would be 6.31
You leave the decimals because your talking about money.
Hopefully this helps. Have a wonderful day. :)
Marking me brainly really helps if you found my answer helpful!