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
to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.
Answer:
1. 2x
2. 3x
3. 2x+5
4. (3x)^2
5. 3\4(x)
I hope it makes sense
have a great day
if any questions pls ask
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)
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
............
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
[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]
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:
guys pls help me!!!!!!
Answer:
x=79
Step-by-step explanation:
180-101=79
Jesus loves you!
Answer:
It is 79
Step-by-step explanation:
Since the lines are parrelel that means that the angle that is next to the 101 is corresponding to x. So then we do 180-101 which is 79
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:)
Find the slope of the line through each pair of point
Answer:
what are the pair of points?
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
Please help fast
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
Answer:
Y > 2x - 3
Y > -1/2x + 2
Step-by-step explanation:
The dotted line is a function of y=2x - 3,
And the solid line has a function of y= -1/2x + 2
Because the line is dotted for the first line I picked, it is > and because the other is solid it is >.
bill heads north driving at 55 mph and jane heads south driving at 60 mph. How long before they are 862.5 miles apart?
Answer:
bill heads;15.68
jane heads;14.38
Step-by-step explanation:
862.5÷55=15.68
862.5÷60=14.38
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
Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets
marked down, During the sale, rashguards sell for $5 less than full price. Miguel purchases 3
rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
The full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the full price of each rashguard be x,
Rashguards sell for $5 less than full price.
x - 5
Miguel purchases 3 rashguards and pays a total of $60.
3 (x - 5) = 60
Simplifying,
x - 5 = 60 / 3
x - 5 = 20
x = 20 + 5
x = 25
Thus, the full price of a rashguard is $25 and the expression for the full price is 3 (x - 5) = 60.
Learn more about arithmetic here:
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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
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
Type the missing numbers in this sequence:
-101, -105,
-109,
-117
Answer:
The answer is - 113 that is the correct answer skipping in three's and the first one is - 97
Answer:
-97, -101, -105, -109, -113, -117
Step-by-step explanation:
the order was add -4 each time
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.
Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?
Answer:
$9,800.07
Step-by-step explanation:
Just took a quiz.
There will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
PMD = $200
r/n = 0.0105/12
n = 12
t = 4 years
After plugging the all values in the formula, we will get:
A = $9,800.07
Thus, there will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
Learn more about the compound interest here:
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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:
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
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.
Answer:
We need the options
Step-by-step explanation:
...
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:
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.
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]
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
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
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
Can some one pls help me
Answer:
look at the picture i have sent