Answers
Given:
[tex]\Delta ABE\cong \Delta MNP[/tex]
To find:
The congruent angles and sides, then find the another valid congruency statement.
Solution:
We have,
[tex]\Delta ABE\cong \Delta MNP[/tex]
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
Using CPCTC, we get
Angles:
[tex]\angle A\cong \angle M[/tex]
[tex]\angle B\cong \angle N[/tex]
[tex]\angle E\cong \angle P[/tex]
Sides:
[tex]AB\cong MN[/tex]
[tex]BE\cong NP[/tex]
[tex]AE\cong MP[/tex]
The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].
Therefore, the required table is
Angles Sides
[tex]\angle A\cong \angle M[/tex] [tex]AB\cong MN[/tex]
[tex]\angle B\cong \angle N[/tex] [tex]BE\cong NP[/tex]
[tex]\angle E\cong \angle P[/tex] [tex]AE\cong MP[/tex]
The another congruent statement is [tex]\Delta BEA\cong \Delta NPM[/tex].
Related Questions
help please i am struggling.
Answers
Answer:
what Netflix show were you watching?
Find the area of the shape. Need an answer immediately.
Answers
Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
help help help ( I WILL MARK YOU AS BRAINLIEST )
Answers
pleaseeee help its due today :(
thank you in advance <3
Answers
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.
Simplify: 3(2a + b) - 5(a – 3b)
Answers
I’m not sure but hope it’s right
Can someone please help me?
Answers
Answer:
yes
Step-by-step explanation:
2. Solve for the x.
8
16
7
Answers
Answer:
Theres no equation here?
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
y= -x-2
Step-by-step explanation:
Express this answer as a unit rate: $50 for 4 days of work. Lable the unite rate.
Answers
Ans
$12.5/1 day
Step-by-step explanation:
Just cause
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answers
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5
Joe wants to buy the new Air Jordans for $170. He has saved up $180 by plowing driveways. He knows that he will have to pay 7.5% tax. Will Joe have enough money to buy the sneakers?
Answers
Answer:
No
Step-by-step explanation:
This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answers
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
The age and hourly pay of five employees at a store are shown in the table.
Age
Hourly Pay
($)
16
10
18
10.25
18
12.50
20
14
22
15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year
Answers
Answer: I think its $18.00
Step-by-step explanation:
0.9*25-4.5= 18
The sum of 3 times a number and 5 is equal to 9.
Answers
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)
Answers
Answer: (5,3)
Step-by-step explanation:
2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answers
Answer:I picked 4
Step-by-step explanation:
.
A circular park is 1/3 mile long. Mr. M walks on this track, completing each lap in
1/12 of an hour. What is Mr. M's walking speed? Include the unit of measure.
Answers
Answer:
1.7 m/s
Step-by-step explanation:
1/3 mile = 536 m
1/12 hour = 5 minutes = 300 second
volecity = s/t = 536 / 300 = 1.7 m/s
9514 1404 393
Answer:
4 miles per hour
Step-by-step explanation:
Speed is the ratio of distance to time:
speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4
Mr. M's walking speed is 4 miles per hour.
What is the first step in solving x^2 +14x-43=3 completing the square?
Answers
Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95
In a two-digit number, the unit's digit is 2 more than that of the ten's digit. The sum of the digits is 27 less than the number. Find the product of the digits of the number
Answers
Answer:
15 is the product of the digits of the number
Step-by-step explanation:
Let the two digit number be xy
Unit digit is 2 more than ten’s digit
y - x = 2 ••••••(i)
Secondly;
x + y = (10x + y) - 27 •••••(ii)
From i, y = x + 2
Put this into ii
x + x + 2 = 10x + x + 2 - 27
2x + 2 = 11x - 25
11x - 2x = 25 + 2
9x = 27
x = 27/9
x = 3
From above;
y = x + 2
y = 3 + 2 = 5
The product of the numbers xy will be 5 * 3 = 15
Could someone pls help me if you know it thank you!:)
Answers
Answer:
24 Square Feet.
Step-by-step explanation:
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answers
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of
a.) Selecting a prime number of a multiple of four
b.) selecting a multiple of two or a multiple of three
Answers
Answer:
One: P = 1/2 = 0.5
Two: P = 8/14 = 4/7 = 0.714
Step-by-step explanation:
One
I take it that the question is a prime number or 4.
P(four) = 1/14
The primes are 2,3,5,7,11,13. There are 6 of them
P(prime) = 6/14
P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2
Two
Multiple of 2 := 2 4 6 8 10 12 14
Multiple of 3 := 9 in addition to 6 and 12 which cannot be counted twice.
P(2 or 3) = 8/14 = 4/7 = 0.714
A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent the number of cups of punch that are added to the bowl. Write and solve an equation to find the number of cups of punch that are added to the bowl.
Answers
Answer:
4 1/3 cups
Step-by-step explanation:
All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answers
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
Over what interval is the function nonlinear?
Answers
Answer:
Step-by-step explanation:
3rd one
What is the y-intercept of y
- 2x + 6?
Choose 1 answers
(6,0)
B
(0,6
(-2,0)
(0, -2)
Answers
Answer:
(0,6)
Step-by-step explanation:
ANSWER ASAP WILL MARK BRAINLIEST
Answers
Answer:
8.5
Step-by-step explanation:
(19x19)-(17x17)=72
square root of 72
Find the value of x. please show step by step process.
Answers
Answer:
x=44
Step-by-step explanation:
alright to make this easy we have to find out all of the angles values. If you see those little lines, then they are indicating that the opposite angles are similar. so angles b and d are equal to 34. in order for a triangle to be true all of the angles added up have to equal 180 so to find the last angle we do 180 -34 -34 which equals 112. That is the angle of c on the bottom triangle. The angle next to is is suplementary meaning that those two angles added together will equal 180. If one angle is 112 we just subtract 112 from 180 to get the other angle which is 68. Once again we have the two little lines indicating that the two angles are the same. Again we do 180 - 68 - 68 which is 44. Therefore x =44
20 points!
Just need help on these questions
I will try to mark brainliest!
Answers
Answer:
the first one is 45% I don't no the second one
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answers
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.