Are the two triangles similar? If so, state the reason and the similarity statement.
Question 12 options:
A)
Yes; SAS; ΔIGF ∼ ΔMNL
B)
The triangles are not similar.
C)
Impossible to determine.
D)
Yes; AA; ΔIGF ∼ ΔMNL
Answer:
The triangles are not similar.
Step-by-step explanation:
Given
[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]
See attachment for triangles
Required
Determine if both triangles are similar or not
From the attached triangles, the corresponding sides are:
IG & MN and GF & NL
Where
[tex]IG = 12[/tex] [tex]MN = 14[/tex]
[tex]GF = 16[/tex] [tex]NL = 18[/tex]
For both triangles to be similar, the following equivalent ratios must be equal.
[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]
[tex]\frac{12}{14} = \frac{16}{18}[/tex]
[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar
If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?
Answer:
37 smallest number
Step-by-step explanation:
If your integer is x
The next 5 odd integers are:
x+2
x+4
x+6
x+8
x+10
x+x+2+x+4+x+6+x+8+x+10=252
6x+30=252
6x=252-30
6x=222
x=222/6
x=37
Can someone help me pls
Answer:
57°
Step-by-step explanation:
180-56=114
114÷2=57
Answer:
57°
Step-by-step explanation:
AO and BO are both the radius of the circle, so they are equal. Since it makes an iscosoles triangle, angles A and B are equal.
180-66=114
114/2=57
joption
[tex]x \sqrt{?} [/tex]
Answer:
???
Step-by-step explanation:
solve the system by substitution.....
Answer: y=-20,:x=-2
PLEASE MARK BRAINLIEST
Answer:
x=-2
y=-20
Step-by-step explanation:
y=10x
y=2x-16
10x=2x-16
-2x -2x
8x=-16
/8 /8
x=-2
y=10x
y=10(-2)
y=-20
If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do
you earn?
а
$600
b
C
$1,200
$120
$6,000
d
Answer:
$1200
Step-by-step explanation:
There are 2 ways I immediately think about to solving the problem.
1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)
This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).
2) You multiply 200 by .20 , then multiply the product by 30.
This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).
Answer:
$1200
Step-by-step explanation:
30*200 = 6000
6000 * 20% = 1200
A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?
Step-by-step explanation:
by choosing from the sophomores or by choosing from the freshmen
Answer:
303600Step-by-step explanation:
There are:
30 seniors, 38 juniors, 24 sophomores, and 18 freshmenThe president must be a senior.
Number of ways = 30The assistant must not be a freshman.
Number of ways = 30 + 38 + 24 = 92The accountant can be anyone.
Number of ways = sum of all = 110Number of ways to pick officers:
30*92*110 = 303600a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
help please asap today is the deadline
How much simple interest is earned on a principal of $700 after 5 years if the account pays 3% annually?
Answer:
21.15
Step-by-step explanation:
700 + 5 = 705
3% of 705 = 21.15
Glenisha checking account had a balance of $973.92. She wrote checks for $91.03 and $13.45. She deposits her paycheck in the amount of 210.90. What is Glenisha's new balance
a) 1,080.34
b) 867.51
c) 658.53
d) 597.23
Answer:
A
Step-by-step explanation:
(9/89)x490+324
Please help
Answer:
(9/89)×490+324=9/89×490=4410/89+324=?Answer:
decimal form is 373.55056
Step-by-step explanation:
multiply (9\89) x 490 in a calculator
you should get (4410\89) then add 324
you'll get another fraction (33246\89)
put that in a calculator and use the double arrow button (if you have it)
it looks like this in a way ( <||>)
I hope this help unless its too late.
If i'm too late i'm sorry I was in class when my computer died
Solve the system of equations by substitution.
5x + y =18
Y=4x
Answer:
x =2 y= 8
Step-by-step explanation:
Which statement is represented by this equation? 3(4-x)+8=24
Answer:
x=4
Step-by-step explanation:
First divide 3 from both sides.
Then minus 8 which makes it 0.
Finally, pull the x to the other side giving you x=4
Name the solid that is formed from the net.
a. Square Pyramid
b. Triangular Pyramid
c. Triangular Prism
d. Cylinder
e. Rectangular Prism
f. Cone
g. Cube
A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?
Answer:
It would be 28 brazilian and 4 Colombian
Step-by-step explanation:
I multiplied alot and please forgive me if this is wrong
The diagonal length of a TV is 32 inches, and the height is 17 inches. How wide is the TV?
Pls
Answer:
7√15
Step-by-step explanation:
32²-17²=735
√735
Zac gave 60 candies to 12 friends. Write an equation to solve how many pieces they each get.
HELPP PLSS
Answer:
each friend gets 5 candies.
Step-by-step explanation:
ok, let's list the basics.
Zac has 60 candiesZac has 12 friendsEach friend gets the same amount of candiesfor this question we need to use division.
60 ÷ 12 = 5
i really hope this helped, if you have any questions feel free to ask
good luck my friend!
-cheesetoasty
Which angle is an adjacent interior angle?
if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour
Answer:
37 km
Step-by-step explanation:
Answer:
37kph
Step-by-step explanation:
518/14=37
21. Sandra is 4 feet tall. Pablo is 10% taller than Sandra, and Michaela is 8% taller than Pablo. a. Explain how to find Michaela's height with the given information.
Answer:
Step-by-step explanation:
Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.
Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?
Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
The largest fraction will be 11/23.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Now,
Since, All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Here, The values are,
⇒ 9 /19 = 0.47
⇒ 5/11 = 0.45
⇒ 7/15 = 0.46
⇒ 11/23 = 0.48
Thus, The largest value of the fraction = 11/23
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ2
Help me it’s really important
Answer:
Step-by-step explanation:
Quadratic equation has been given as,
[tex]y=-x^{2} +6x+4[/tex]
Converting this equation into vertex form,
[tex]y=-(x^{2}-6x)+4[/tex]
[tex]y=-[x^{2}-2(3x)+9-9]+4[/tex]
[tex]y=-[x^{2}-2(3x)+3^2]+4+3^2[/tex]
[tex]y=-(x-3)^2+4+9[/tex]
[tex]y=-(x-3)^2+13[/tex]
By comparing this equation with the vertex form of a quadratic equation,
y = (x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the parabola → x = 3, y = 13
Axis of symmetry → x = 3
For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.
Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(x²–6x+6)
The water ski club plans to build a new ramp for their ski shows in the shape of a triangular prism shown below
Answer:
24.8!
Step-by-step explanation:
Which number makes this equation true?
5 x (3 x 2)= 5 x ?
Answer:
6
Step-by-step explanation:
A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?
Answer:
5 balls
Step-by-step explanation:
Sorry if it's wrong.
Find the 43rd term of the sequence
-3.0,-2.5,-2.0,-1.5
Answer:
19.5
Step-by-step explanation:
The 43rd term of the sequence is 19.5
Please help me find the answer fo this!!
Answer:
÷3==533740£; ok8iejeoeoeo
In order to take good notes while reading, you must ask yourself ________________. a. “What is the main idea?” c. “What have I learned?” b. “What are the supporting details?” d. all of the above Please select the best answer from the choices provided A B C D
Answer: D do all of the above and you will get good grades
Step-by-step explanation:
