Answer:
The Side-Side-Side congruency criteria
Step-by-step explanation:
The Side-Side-Side (SSS) congruency criteria can always be used to prove two triangles are congruent in a coordinate plane
When two triangles are presented in the coordinate plane, the coordinates of the vertices of both triangle will be given by the coordinates of their points on the coordinate plane
The length of the sides of each triangle will be given by the distances, d₁, d₂, d₃, between the coordinates of their vertices as follows;
[tex]d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The two triangles are congruent when the length of the three sides d₁, d₂, and d₃ of one triangle ABC, are congruent to the three sides d'₁, d'₂, and d'₃ of the other triangle A'B'C'.
Fuseina has ¢40000 to invest.She decides to put part of the money in an account paying 4% interest and the reminder into stocks paying 6% interest . Her financial advisor tells her that the total annual income from these investments should be¢2040. How much should she invest at each rate?
Answer:
The amounts invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
Step-by-step explanation:
Given that the account paying 4% interest and the stocks paying 6% interest.
Assuming she put ¢ x in the account, so
Income (interest) from the account = 4% of x = ¢ 0.04x...(i)
She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).
As she put the remaining amount into stock, so
Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)
As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have
[tex]2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.[/tex]
So, the amount invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
Please help me by answering the following questions!!
Answer:
1. A number having 2, 3, 7 or 8 at unit's place is never a perfect square. In other words, no square number ends in 2, 3, 7 or 8. The number of zeros at the end of a perfect square is always even. In other words, a number ending in an odd number of zeros is never a perfect square.
2. Only those numbers, when squared will have 6 at their unit place are 4 and 6 Because 4×4 = 16 and 6×6 = 36(i dont know if this is what you were looking for)
3. the square root of 24336 consists of three digits and those digits are 156
Step-by-step explanation:
i am sorry my brain hurts lol, i will answer the 7 other questions later
Katlyn sent 34,008 text messages last
year. If she sent the same number of
texts each month, how many messages
did she send in one month?
Answer:
2,834 texts
Step-by-step explanation:
There are 12 months in a year so divided the total number of texts by 12 then that will give you the monthly number of texts sent
The sum of 5 consecutive integers is 505,
What is the third number in this sequence?
Answer:
101
Step-by-step explanation:
hope that helps
whats the place value of the decimal in the number 125.6
Answer:
in between the ones and the tenths place
Step-by-step explanation:
so it would be in the ones place
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
Answer:
the slope is 4/3
Step-by-step explanation:
Simplify the expression i⁸²
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
Jacqui needs 8 cups of sugar to make 12 batches of cookies. What is the proportional equation that represents the situation?
Answer:
4
Step-by-step explanation:
The proportional equation that represents the situation is k=2/3.
Given that, Jacqui needs 8 cups of sugar to make 12 batches of cookies.
We need to find what is the proportional equation that represents the situation.
What is the proportional equation?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.
Direct ProportionInverse ProportionThe number of cups of sugar used to make batches of cookies is a direct proportion.
8∝12
⇒8=12k
⇒k=8/12
⇒k=2/3
Therefore, the proportional equation that represents the situation is k=2/3.
To learn more about the proportional equation visit:
https://brainly.com/question/15179946.
#SPJ6
Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens! Each time Miranda goes to the store she plans to spend $7dollar sign, and each time Savannah goes to the store she plans to spend $9.A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
Answer:
Miranda made 9 visits to the store and Savannah made 7 visits to the store
Step-by-step explanation:
To find how many times Miranda and Savannah went to the store we would need to find the Greatest Common Multiple of the amount that each of them spends per visit. We do this by simply going through each of these numbers' times tables until we find a common one.
7 * 1 = 7 9 * 1 = 9
7 * 2 = 14 9 * 2 = 18
7 * 3 = 21 9 * 3 = 27
7 * 4 = 28 9 * 4 = 36
7 * 5 = 35 9 * 5 = 45
7 * 6 = 42 9 * 6 = 54
7 * 7 = 49 9 * 7 = 63
7 * 8 = 56
7 * 9 = 63
Finally, we can see that the first time that both Miranda and Savannah have spent the exact same amount would be when Miranda made 9 visits to the store and Savannah made 7 visits to the store. Each of which wasted $63
what is the y-intercept of the graph that is shown below? A. (-2, 0) B. (-1, 2) C. (0, 4) D. (4, 0)
Complete the table of values for this absolute value function. Then use the drawing tool(s) to graph the function. F(x)-2|x+1|-1
Answer:
Please check the explanation!
Step-by-step explanation:
Given the equation
[tex]f\left(x\right)=-2|x+1|-1[/tex]
As some of the absolute rules are:
[tex]\left|a\right|=a,\:a\ge 0[/tex][tex]\:|-a|=a,\:\quad \:a>0[/tex]NOW, let us solve!
Let us substitute all the table values
Putting x = -4
[tex]y=-2\left|-4+1\right|-1[/tex] ∵[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]y=-6-1[/tex]
[tex]y=-7[/tex]
So, when x = -4, then y = -7
Putting x = -3
[tex]y=-2|-3+1|-1\:[/tex]
[tex]y=-4-1[/tex]
[tex]y=-5[/tex]
when x = -3, then y = -5
Putting x = -2
[tex]y=-2\left|-2+1\right|-1[/tex]
[tex]y=-2-1[/tex]
[tex]y=-3[/tex]
when x = -2, then y = -3
Putting x = -1
[tex]y=-2\left|-1+1\right|-1[/tex]
[tex]y=-0-1[/tex]
[tex]y=-1[/tex]
when x = -1, then y = -1
Putting x = 0
[tex]y=-2\left|0+1\right|-1[/tex]
[tex]y=-2-1[/tex]
[tex]y=-3[/tex]
when x = 0, then y = -3
Putting x = 1
[tex]y=-2\left|1+1\right|-1[/tex]
[tex]y=-4-1[/tex]
[tex]y=-5[/tex]
when x = 1, then y = -5
The graph is also attached below.
What is an equation of the line that passes through the point (3,-1) and has a slope of 2?
y=2x-1
or
y=2x+(-1)
hope this helps:)
Determine the two numbers between which v~2
OA 1.2 and 13
B.
1.4 and 1.5
c. 1.5 and 1.6
OD 1.3 and 1.4
Answer:
A
Step-by-step explanation:
How many solutions does the equation 5x + 3x - 4 = 10 have?
A. Zero
B. One
C. Two
D. Infinitely many
Answer:
one solution
Step-by-step explanation:
(work is shows above)
Helpp-Find the measure of angle SRT!!!!!
What is the graph of 4x+3y=-24?
The answer to 2+2 isnt 4 ill show you why
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respatory system.
There ya go: 18.
wow you are so smart
When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step?
Ramon and justine are both watching brodcast both star at 7:00 a.M and ends at 9:00 a.M one one shows commercials every 17 minutes and 14 minutes. When will commercials show at the same time
Answer:
1:58 minutes after the showStep-by-step explanation:
Step one:;
given data
start time= 7:00 am
end time= 9:00 am
we are told that one broadcast shows commercial every 17minutes
and the other shows commercials every 14 minutes
now the time when they both sho commercial is given by the greates common multiple of the times 17 and 14
multiples of 17= 17,34,51,68,85,102,119,136,153,170,187,204,221,238
multiples of 14= 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238
for the number above 238 is common to both
238minutes to hours= 3.96667
=3:58 minutes
this shows that commercials will show at the same time 1:58 minutes after the show
tell me your life story
and perhaps some song recommendations as well
thanks :)
Answer:
I'm still in High School and planning on going to the military after going through and making money for the most part and for song recommendations I would say: Rob Zombie, Alice in Chains, and Guns N' Roses.
i have the picture as a link
Answer:
21 is your answer
2 1
3 2 | 6 7 2
6 4
3 2
3 2
PLEASE HELP FAST ILL GIVE BRAINLIEST AJGSAJSJDH 2) Maria Louisa looks at a sequence of shapes and records the number of
vertices in each of the shapes in the sequence. The first shape has 3
vertices, the second shape has 5 vertices, and the third shape has 7
vertices.
If Maria Louisa assumes that the number of vertices in the sequence of
shapes follows the same pattern, how many vertices would she expect the
twenty-first shape to have?
A.
39
B.
41
C.
43
D.
45
guys help me write this answer in its simplest form7-6/8
Answer:
0.1458 in decimal form.
Step-by-step explanation:
In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 7/6 ÷ 8 = 7/48 in fraction form.
7/6 ÷ 8 = 0.1458 in decimal form.
Hope this helpsMark me brainiest1,200 tv; 10%discount
Answer:
The TV would cost $1,080.
Step-by-step explanation:
The discount would be $120. So $1,200 - $120 = $1,080.
pls pls help asap pls
Answer:
The answer is option 2
Step-by-step explanation:
Working out above
Ms. Dantes baked some brownies. She sliced the brownies into four rows of four brownies. Then she cut half of the brownies in two. How many brownies does she have?
Answer:
24
Step-by-step explanation:
16 +8 = 24 I got this answer by 4 X 4 = 16 +8 So Ms.Dantes has 24 brownies now.
Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle.
1. Set up the proportion: StartFraction 9 over 6 EndFraction = StartFraction x over 16 EndFraction
2. Use cross product: 9(16) = 6x
3. Simplify:
144 =
4. Divide:
= x
Answer:
x = 24
Step-by-step explanation:
9/6 = x/169(16)= 6x144 = 6xx = 144/6x = 24Paul earns $7 per hour at the bagel
shop and $12 per hour mowing lawns.
Paul needs to earn at least $120 per
week, but he must work less than
30 hours per week. Write and graph
the system of linear inequalities that
describes this situation.
Answer:
he can work 10 hours mowing lawns and will get exactly $120!
Step-by-step explanation:
Sally baked 28 brownies with 4 scoops of flour. With 5 scoops of flour, how many cookies can she bake?
Answer:
28 brownies - 4 scoops
x brownies - 5 scoops
Cross multiply and we get:
140 = 4x
Divide both sides by 4:
140/4 = 4x/4
35 = x
Hence, 5 scoops of flour will bake 35 brownies
Step-by-step explanation:
Emma needs some steel bolts to finish a patio deck project. If five steel bolts cost
$3.50, how much would 35 steel bolts cost?
Answer:
Step-by-step explanation:
$24.5