Answer: Choice E) Insufficient information to prove congruence.
============================================================
Explanation:
We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.
While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.
Therefore, we don't have enough information to prove the triangles congruent.
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Side notes:
We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.A boy wants to purchase 1,400 green marbles. If there are 70 green marbles in each bag, how many bags of marbles should the boy buy?
Answer:
20 bags
Step-by-step explanation:
1400/70
Answer:
20 bags
Step-by-step explanation:
1400 ÷ 70 = 20
Can somebody plz answer questions 13-18 correctly thank you!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!!! :DDD
Answer:
13. 20%
14.7%
15. 3.5%
16.45%
17. 84%
18. 68.5%
of her book on Tuesday, and of her book on Wednesday,
3
if Joyce reads - of her book on Monday,
6
what part of her book does she read?
point)
9
10
о
VINIATE
10
4
Answer: 9/10 of the book.
Step-by-step explanation:
1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.
1/6 = 5/30
2/5 = 12/30
1/3 = 10/30
2. Add the fractions together to find the whole amount of the book Joyce has read.
5/30 + 12/30 + 10/30 = 27/30
3. Simplify
27/30 -> 9/10
Step-by-step explanation:
1/6 + 2/5 +1/3=
nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =
1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30
17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90
now let's try to simplify it.
81/90 by 9=9/10
Solve d - (-2) = 19 for d.
d =
Answer:
d=17
Step-by-step explanation:
Negative and Negative adds up to a Positive so...
d + 2 = 19
19-2=17
d=17
please help!!!!
algebra 2
Answer:
domain: x<2 or x>2
x-intercepts: (3/2, 0), (-3/2, 0)
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
how do you work out the percentage increase
Number the answer like, in the blank type in the answer. Pls help ignore my answers unless correct
1. ____
2____
3______
Answer:
1. 32 2. You got that one correct 3. 1 5/34
Step-by-step explanation:
1. 24 / 3/4
3/4 = .75
24/ .75 = 32
3. Turn into improper fraction
13/4 / 17/6
= 1 5/34
Hope this helps dude
factor with distributive property (no variables) 55 + 35
55 + 35 Factorized ↓
5(11 + 7)
I hope this helps u
God bless
Answer
5(11+7)
1. Find the greatest common factor of 55 and 35.
The greatest common factor of 55 and 35 is 5.
2. Divide each number (in the expression) by the common factor
55/5=11
35/5=7
3. Write the factorized expression
So you multiply 5 times 11 and 5 times 7.
So when distributing, you would multiply the number outside of the parentheses by each of the numbers in the parentheses.
The number outside is 5 and the numbers inside are 11 and 7.
So the expression is 5(11+7)
5*11=55
5*7=35
4. Check to see if you get the same answer (optional)
55+35=90
5(11+7)=5(18)=90
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
√39
Step-by-step explanation:
use the Pythagorean Th because the triangle is right
8² = 5² + x²
8²-5² = x²
√64-25 = x
√39 =x
PLEASE ANSWER ASAP WITHEXPLANATION!! YOU WILL BE REPORTED AND BANNEDIF YOU ANDWER FOR POINTS!!
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
63.33333333333
Step-by-step explanation:
6x + 3y = 33
4x + y = 15
What is the percent of change of 25 when decreased to 18?
Answer:
your answer is that it decreases to 7%
Answer:
28% decrease
Step-by-step explanation:
(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
On Monday and Tuesday the lake received 18.45 inches of water. If it received 7.85 inches on Monday, how much did it receive on Tuesday?
Answer:
10.60 inches
Step-by-step explanation:
18.45
-7.85
_____
10.60 inches
Keith and his 6 friends are taking a trip. The total cost of the trip is $1,145.55. The total cost of the tickets for the amusement park was $341.25. The total cost of three hotel rooms was $454.65. The total cost for the show they were going to see was $153.65. The rest of the money they paid was used to purchase gas for their trip. Use this information to answer the questions below.
Answer and explanation:
Question is incomplete
Question will likely ask how much is the rest of the money paid for gas.
We use algebra to find how much is the rest of the money paid for gas
So given
total cost of the trip = $1,145.55
total cost of tickets for amusement park = $341.25
The total cost of three hotel rooms = $454.65
total cost for the show they were going to see = $153.65
Let's call rest of money spent on gas x
Hence the equation for total cost with all expenditures,
$341.25+$454.65+$153.65+x=$1,145.55
Solve for x
$949.55+x=$1145.55
x=$1145.55-$949.55
x= $196
Therefore amount spent on gas for the trip =$196
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
Choose the congruence theorem that you would use to prove the triangles congruent.
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
The surface area of a sphere is 196 π . Its radius is
Answer:
The radius of the sphere is 7 units
Step-by-step explanation:
Surface Area
Given a sphere of a radius (r), the surface area is given by the formula:
[tex]\displaystyle A=4\pi r^2[/tex]
If the surface area is given, we can solve for r:
[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]
The surface area of a sphere is given A=196π.
Calculating the radius:
[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]
[tex]\displaystyle r=\sqrt{49}[/tex]
r = 7 units
The radius of the sphere is 7 units
Split 36 into the ratio 1:2
Answer:
12 : 24
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 = 3 parts
Divide 36 by 3 to find the value of one part of the ratio.
36 ÷ 3 = 12 ← value of 1 part of the ratio , thus
2 parts = 2 × 12 = 24
Thus
36 in the ratio 1 : 2 is 12 : 24
Melissa will choose between two restaurants to purchase pizzas for a party. The first restaurant charges a delivery fee of $6 for the entire purchase and $12 per pizza. The second restaurant has no delivery fee and charges $14 perr pizza. Let x be the number of pizzas purchased.
Answer:
I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...
Step-by-step explanation:
GIVING BRAINLIEST ONCE AGAIN
Answer:
45
Step-by-step explanation:
divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.
Answer:
5:9 = 25:45
Step-by-step explanation:
Which of the following statements uses the multiplicative identity?
(-8)(1) = -8
-8 + 0 = -8
(-8)(-1) = (-1)(-8)
-8 + 1 = 1 + (-8)
answer quick plz plz plz
9514 1404 393
Answer:
(-8)(1) = -8
Step-by-step explanation:
The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...
(-8)(1) = -8
Solve: -1/2x +2=-x+7
Answer:
x = 10
Step-by-step explanation:
-1/2x + 2 = -x + 7
multiply by 2 so that -1/2x becomes -x
(-1/2x + 2 = -x + 7)2
-x + 4 = -2x + 14
subtract 4 from both sides
-x = -2x + 10
add -2x to both sides
x = 10
please help!! on a time limit!
Answer:14
Step-by-step explanation:
Answer:14
Step-by-step explanation:
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
What is the area of a rectangle with vertices
(-1,-4), (-1,6), (3, 6), and (3,-4)?
16 square units
24 square units
36 square units
40 square units
Answer:
40squared units!
I hope it will be useful.
Answer: 40 square units
Step-by-step explanation:
I took the assignment
What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr
Help, please. My assignment is past due so pls hurry.
Answer:
X=8
Step-by-step explanation:
46+9x-8=14x-2
46-8+2=14x-9x
40=5x
8=x
Answer:
x=8
Step-by-step explanation:
Hope this helped have an amazing day!