Answer:
Similar: First two shapes only
Step-by-step explanation:
Triangle Similarity Theorems
There are three triangle similarity theorems that specify under which conditions triangles are similar:
If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).
If the three sides are in the same proportion, the triangles are similar (SSS theorem).
If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).
The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.
The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.
The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar
Principal: $35000
Rate: 2%
Time: 6 Years
What is the simple interest made?
Answer:
$4200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
I = 35000 × 0.02 × 6 = 4200
I = $ 4,200.00
The simple interest accumulated
on a principal of $ 35,000.00
at a rate of 2% per year
for 6 years is $ 4,200.00.
Answer:
I’m thinking $4200
Step-by-step explanation:
Because 35k at 2% for 6 years will get you that
rationalize i)✓2 by✓3
ii)5✓2 by2✓3
iii)15 by ✓5
iv)✓5 by 5✓6
plz solve in notebook
Step-by-step explanation:
[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]
[tex] \frac{ \sqrt{6} }{3} [/tex]
[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]
[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
[tex] \frac{5 \sqrt{6} }{6} [/tex]
[tex] iii)\frac{15}{ \sqrt{5} } [/tex]
[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]
[tex] \frac{15 \sqrt{5} }{5} [/tex]
[tex]3 \sqrt{5} [/tex]
[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \frac{ \sqrt{30} }{ 30} [/tex]
Which are equations? Check all that apply.
Answer:
numbers 1,4,6,7 are all equations
Step-by-step explanation:
just look for the equal sign if there's no equal sign then its an expression not an equation
Answer:
All of the equations are the ones with the equal signs (=)
I hope this helps!
The volume of a sphere is two-thirds the volume of a cylinder.
What is the volume of a cylinder that has the same diameter as a sphere with a volume of 14 u3, in u3?
Answer:
21u3
Step-by-step explanation:
Given that the volume of a sphere is two-thirds the volume of a cylinder.
Let the volume of the sphere be A and that of the cylinder be B then
A = 2/3 B
Given that the volume of the sphere of same diameter as a cylinder is 14u3 then
14u3 = 2/3 B
Multiply both sides by 3
42u3 =2B
Divided both sides by 2
21u3 = B
The volume of the cylinder in terms of u3 is 21u3
PLEASE HELP !
I AM RUNNING OUT OF TIME
Answer:
149
Step-by-step explanation:
If you order the numbers from smallest to biggest and then find the middle number it is 149
Answer:
Median is 149
Step-by-step explanation:
just sum extra info lol<3
min is 144
mean is 150
max is 160
so in order: 144,145,147,148,149,150,152,155,160
hope i could help:)
Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Martha have in her account before the deposit?
Answer:
447.23
Step-by-step explanation:
832.48 - 385.25
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
I need Help I don't understand
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Which expression represents the phrase " the difference of 18 and 12"?
Given:
The statement is "the difference of 18 and 12".
To find:
The expression for the given statement.
Solution:
We have,
Given statement = The difference of 18 and 12.
We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.
The difference of 18 and 12 = 18 - 12
Therefore, the required expression for the given statement is 18-12.
whats it the anwser for this 27 + y < 10
Answer:
Simplifying
27 + y = 10
Solving
27 + y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + y = 10 + -27
Combine like terms: 27 + -27 = 0
0 + y = 10 + -27
y = 10 + -27
Combine like terms: 10 + -27 = -17
y = -17
Simplifying
y = -17
Step-by-step explanation:
A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be_____ inches.
Answer:
5 inches
Step-by-step explanation:
its simple
1in-100m
500m= 100m x 5
so multiply five to the other side
1in x 5=5 in
5in-500m
Answer:
5 inches
Step-by-step explanation:
100 miles = 1 inch
500 miles = 500/100 * 1 = 5 inches
you're welcome....
Can someone please help me ?????
Answer: 52
Step-by-step explanation:
is that all there is to it? just simply adding up 12 + 32 + 8, adding up the number of women who took the survey? if so, the answer is 52.
What are the quotient and remainder of (x^5- 1) /(x-1)?
Answer:
A
Step-by-step explanation:
x^4+x^3... remainder: 0
is -5 greater than -8
Answer:
yes
Step-by-step explanation:
negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)
Answer:
Yes
Step-by-step explanation:
-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.
Subtracting Two Vectors not at the Origin
Vector på has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Rs has an initial point at (4, -6) and its terminal point is at (1.-5).
What is the component form of vector PO - R$?
Answer:
5, 3
Step-by-step explanation:
−46x−23=46x+23 how many solutions
graph y-1=-2(x-2) help me
If you get this right I'll make you the brainiest
39+19*989/2*3+55
Answer:28280.5?
Step-by-step explanation: was this right
Answer:
using order of operations you will want to simplify your equation using PEMDAS
39 + 19 * 989/2 * 3 + 55
39 + 9395.5 * 3 + 55
39 + 28186.5 + 55
28225.5 + 55 = 28280.5
Step-by-step explanation:
Hope this is right! Have a nice day
edit: you said its wrong so is this right ? if so u did not use order of operations correctly 57968.5
Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13
Answer:
It's 13
Step-by-step explanation:
the fifth term is n. do 3*5=15 and then subtract 2 to get 13!
5.28 + 2.4 + what equals to 7.32
Answer:
5.28+2.4=7.68
is right answer
How many different committees can be formed from 7 teachers and 30 students if the committee consists of three teachers and four students
Answer:
959175
Step-by-step explanation:
a) Teachers' committee:
[tex]C^3_7=\frac{7!}{3!4!}=35;[/tex]
b) Students' committee:
[tex]C^4_{30}=\frac{30!}{4!(30-4)!}=\frac{27*28*29*30}{2*3*4}=35*27*29=27405;[/tex]
c) Teachers & Students:
[tex]C^3_7*C^4_{30}=35*27405=959175.[/tex]
George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a right triangle with side lengths of 12 m and
15 m?
O 20 m
18 m
O 9 m
7 m
can someone help me??
Strategies for finding a 30 % increase....
Answer:
Identify the original value and the new value.
Input the values into the formula.
Subtract the original value from the new value, then divide the result by the original value.
Multiply the result by 100. ...
Check your answer using the percentage increase calculator.
Step-by-step explanation:
I really dont get this question
PLZ HELP
I WILLMARKE YOU BRILL
Answer:
1. Mode = 7
2. Range = 8
Step-by-step explanation:
The following set of data were obtained from the question:
4, 6, 5, 9, 3, 2, 7, 7, 1, 8
Mode =?
Range =?
1. Determination of the mode of the data.
Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:
Scores >>>>>>> Frequency
4 >>>>>>>>>>>> 1
6 >>>>>>>>>>>> 1
5 >>>>>>>>>>>> 1
9 >>>>>>>>>>>> 1
3 >>>>>>>>>>>> 1
2 >>>>>>>>>>>> 1
7 >>>>>>>>>>>> 2
1 >>>>>>>>>>>> 1
8 >>>>>>>>>>>> 1
From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .
2. Determination of the range of the data.
Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:
Highest score = 9
Lowest score = 1
Range = Highest – Lowest
Range = 9 – 1
Range = 8
In which part of the graph is the distance from home constant?
Distance from home
4
5
Time
A. 4
B. 3
C. 2
D. 1
Answer:
I chose B. 3
Step-by-step explanation:
I chose B because the person is either staying still, not moving, or something of the sort.
find the value=
sin 30° + cos 60° + tan 0
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
An atom of which element is represented by this model Answer(ps if you dont have ther awnser dont say anything at all got it)
Answer:
Im back XD
Step-by-step explanation:
the product of 9 and the diffrence of 6 and 4 into a numerical expression
Answer:
9(6 - 4)
Step-by-step explanation:
9(6 - 4)
9 x 2 = 18
18 is your answer to the expression
hope this helps
hope this is right