Answer:
Step-by-step explanation:
△ RST ≅ △ TXY
We are given ΔRST and ΔTXY are congruent to each other.
If two triangles are congruent to each other then their corresponding parts are equal.
Please see the attachment of two triangles.
∠R is corresponding to ∠T
∵ ∠R=∠T By CPCT
∠XYT is corresponding to ∠STR
∵ ∠XYT=∠STR By CPCT
∠XTY is corresponding to ∠SRT.
∵ ∠XTY=∠SRT By CPCT
∠TXY is corresponding to ∠RST
∵ ∠TXY=∠RST By CPCT
CPCT: Congruent part of congruence triangle.
Find the value of two numbers if their sum is 112 and their difference is 66.
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation:
How do you write 6.6 × 100 in standard form?
Answer:
660
Step-by-step explanation:
Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:
From 6.6 × 100
to 660. × 1.00
660
Alejandro has just gotten a new job. The relationship between the number of hours he works, xx, and his total earnings, yy, is represented by the graph below.
A point (4,904,90) is labeled below. Which statement about the graph is true?
0
Number of Hours
Total Earning (in dollars)
x
y
0
Number of Hours
Total Earning (in dollars)
(4 , 90)
The unit rate is 4 hours per dollar
The unit rate is 22.5 hours per dollar
The unit rate is $90.00 per hour
The unit rate is $22.50 per hour
The statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
How to find Unit RateUnit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.
Given that:
x = hours he worked
y = his total earnings
We are told that (4, 90) is a point on the graph.
Using the point, (4, 90), we can find the unit rate as shown below:
k = y/x = 90/4
k = 22.5
Therefore, the statement that is true about the graph as it relates the unit rate is:
d. The unit rate is $22.50 per hour
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PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
D
Step-by-step explanation:
what is the equation?
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
Shaq has opened a new bake shop in town. Shaq sells each chocolate
cake for $12 and spends $1,064 in rent per month. How many
chocolate cakes does Shaq need to sell to make $1,204 in profits this
month?
Answer:
she would need to sell 88.6
Step-by-step explanation:
HELP PLEASE!! ;-; !! TWO PART QUESTION!! 1) Consider the image. Are the two triangles congruent if a is congruent to d and b is congruent to e?
A) Yes, by the ASA postulate.
B) Yes, by the SAS postulate.
Yes, by the SSS postulate.
D) No, they are not congruent.
2) suppose that three corresponding angles are congruent for two triangles (AAA), why can’t congruence be proved between the two triangles?
A) the triangles could have the same shape but not the same size.
B) The triangles could have the same size but not the same shape.
C) with three equal angles, only the shortest side of the triangles can be congruent.
D)With three equal angles, only the longest side of the triangles can be congruent.
Answer:
A
Step-by-step explanation:
A
Please Help! I don't have much time to finish!
Answer:
............
Step-by-step explanation:
here........
Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.
please help me
Answer:
B and E are the only correct answers.
Step-by-step explanation:
The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14
Then multiply by the height 3.14 * 5 = 15.7 cubic inches
The middle can's diameter is 5 inches so the radius is 2.5.
3.14 * 2.5^2 = 3.14 x 6.25 = 19.625
Multiply by the height 19.625 * 3 = 58.875 cubic inches
The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26
Multiply by the height 28.26 * 2 = 56.52 cubic inches
15.7 + 58.875 + 56.52 = 131.095
B and E are the only correct answers.
if 21 and 35 are two members of a pythagorean triple, what is the third member?
Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
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There are 4 Year 11 pupils in a football club, out of a total of 29 pupils.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.
Answer:
14%
Step-by-step explanation:
So if we have 4 Year 11 pupils out of a total of 29 pupils at a football club, the fraction for that would be 4/29, if we convert 4/29 into a decimal number we get 0.13793103448, so we round this number up to the nearest 1 decimal place, and that would be 0.14 which equals 14%. Hope this helps.
7y-9=-3
What is the value of 9? HELP!!!
wait im wrong i didnt even read that correctly
Answer:
Sry but I don't understand what you wrote
Step-by-step explanation:
A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.
What is the solution to the system of equations?
A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)
Step-by-step explanation:
the answer I think D should be
Answer:
The answer is (2,0)
Step-by-step explanation:
We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).
For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.
As we can tell it crosses over points (2,0) making this equation having exactly one solution.
Making the correct awnser D; (2,0)
is it 3 pls help for brainly
Answer:
Step-by-step explanation:
First, let’s flip the first term.
2^-x = 8^2-x
we can take ^3 out of the 8 to simplify
2^-x = 2^3(2-x)
-x = 3(2-x)
Now we solve for x.
x = 6
Hope this helps!
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for $2.40 per pound, how much black tea worth $1.80
The cost of 35 pounds of oolong tea is $84.
An equation is used to show the relationship between two or more variables or numbers.
Given that oolong tea sells for $2.40 per pound.
There are 35 pounds of oolong tea available. Hence:
Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound
Cost = $84
Hence, the cost of 35 pounds of oolong tea is $84.
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Answer:
35 LB (THIS IS ACTUALLY CORRECT)
Step-by-step explanation:
First, you lay it down like this:
Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both
2.4*35
=84
However, since you don't know how many pounds of black tea, you use x
Multiply like above
1.8*x
=1.8x
The total mixture is selling for $2.10
Total pounds: 35 + x (given above, or black + oolong tea
equation:
84 + 1.8x = 2.1(35+x)
84 + 1.8x = 73.5 + 2.1x (distributive property)
- 1.8x - 1.8x
84 + 0 = 73.5 + 0.3x
-73.5 -73.5
10.5 = 0.3x
3.5 = 0.1x
35 = x
HELP ME GUYS PLEASE ! :)
in order:
y=6
y=16
y=26
y=31
Determine whether each equation represents a proportional relationship.
Y=2.5x
y= x - 4
Answer:
y=2.5x - Proportional
y= x - 4 - Not Proportional
Step-by-step explanation:
A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.
The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.
However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.
Hope this helps.
Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0
Answer: The Third option
Step-by-step explanation:
1/36a^4b^10
Hope this is right!
The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.
Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹
= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)
= (a⁶)/(3²2²a¹⁰b²b⁸)
= 1/36a⁴b¹⁰
Therefore, option C is the correct answer.
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WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.
Isosceles & Equilateral Triangles
solve for x & then solve for y *
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Solve for x
16x^2 + 9 = 5
Answer:
X=-4
Step-by-step explanation:
16x^2+9=5
- 9 -9
16x^2= -4
16/-4 =
-4
Multiply and combine like terms to determine the product of these polynomials:
(2x + 3)(5x − 6)
Answer:
10x^2+3x-18
Step-by-step explanation:
What is the slope?
x: -3, -5, -9
y: 1, 5, 13
Last month, there were `4` sunny days for every rainy day. If there were `30` days
Answer:
6 rainy days
Step-by-step explanation:
Which of the following equations could be the result of using the comparison method to solve the system shown?
x + 2y = 6
x - 4y = 8
2y - 6 = 4y + 8
6 - 2y = -4y + 8
6 - 2y = 4y + 8
Answer:
6 -2y =4y + 8
Answer: 6 -2y =4y + 8
Step-by-step explanation:
two expressions that are equivalent to 5.75 ÷ 1.15.
Answer:
i think the answe is A and B hope this helps
Step-by-step explanation:
Have a nice day!
Answer:
5.75 / 1.15 = 5
5 is an answer.
10/2 is also an answer.
25/5 is also also an answer.
100/20 is also also also an answer.
Please helppppp I neeed to pass this class
Answer:
(x+8, y+ -2)
Step-by-step explanation:
Actually, it would be (x+8,y-2) but the written part already has a + soo...
However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).
HELLPPPPPPP
please help
Answer:
i think that's A
I'm just guess
168- blank gives 48 aim confused
Answer:
168 subtracted by 120 is going to equal 48
Step-by-step explanation:
PLEASEEE HELPPPP ASAPPPP
[tex]\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}[/tex]