Answer:
true
Step-by-step explanation:
These triangles
are congruent by
the triangle
congruence
postulate [? ]
The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
These triangles are congruent.
Now, In both triangle shown in figure have;
⇒ One side is common. (Diagonal)
⇒ Two sides are equal. (Given)
⇒ One pair of angle in both triangle are equal.
Hence, We get;
⇒ By SAS congruent theorem both triangles shown in figure are congruent.
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Solve for the other variable. (2 points: 1 point for the answer, 1 for showing the work)
4. Combine the two equations to eliminate one of the variables, and then solve for the other. (3 points: 1 for eliminating one variable, 1 for the answer, and 1 for showing your work)
Answer:
Step-by-step explanation:
The solution of the system is:
(x, y) = ( 5, 10)
We have the following system of equations:
12x + 6y = 120
4x + y = 30
Now, We have to solve by the method of elimination, we multiply the second equation by -3, then:
12x + 6y = 120___(1)
-12x - 3y = -90___(2)
Now, We add both the equations:
12x -12x + 6y - 3y = 120 -90
3y = 30
y = 10
We have to find the value of 'x":
4x + y = 340x + 10 = 30
4x = 30 - 10
x = 5
Thus, the solution of the system is:
(x, y) = ( 5, 10)
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Complete question is:
3. To combine the equations and solve for one of the variables, you need to eliminate the other variable. How can you change one equation so that one variable is eliminated when the two equations are added? Explain and write the new equation (The equations are 12x+6y=120 and 4x+y=30)
4. combine the two equations to eliminate one of the variables, and then solve for the other.
5. Solve for the other variable.
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
Given: AB=BC,AM=MC
BM IAC , EF I BC
EC
FC
Prove:
AB
MA
B
F
с
A
EM
Answer:
AB=BC,AM=MC
BM IAC , EF I BC
Step-by-step explanation:
AB
MA
B
F
с
A
Write 10^3 without an exponent
Answer:
10*10*10
Step-by-step explanation:
10^3 equals 10*10*10
Answer:
3000
Step-by-step explanation:
The measure of c is
.
Answer:
10
Step-by-step explanation:
6^2=36
8^2=64
64+36=100
The square root of 100 is 10
Can someone told me is this correct please?
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D) 9000 m³
Step-by-step explanation:
volume = 30 x 30 x 10 = 9000 m³
help with geometry question
Answer:
Step-by-step explanation:
The area of this parallelogram is
A=hb (height times base)
h=A/b, we see A=14.4mi^2 and b=4.8mi so
h=(14.4mi^2)/(4.8mi)
h=3 mi
What is sin 45°?
45°
√2
1
90°
45°
Answer:
sin45°=1/√2 is your answer or √2/2
Describe the shape of the data summarized in the histograms.
Answers:
5) Roughly symmetrical6) Skewed to the right (aka "right skewed" or "positively skewed")=======================================================
Explanation:
5) We don't have perfectly symmetrical data, as that would require the left half to be a perfect mirror copy of the right half. However, we have some semblance of symmetry going on. In the middle is 5 which is where the highest bar is, where the mode is located. The mean and median are likely to be around here as well. Then on either side of this highest peak are bars of shorter heights. The heights decrease as we move away from the center in either direction. We can draw an estimated or approximated bell curve (aka normal distribution curve or gaussian curve) to get a fairly good sense of how the data is roughly symmetric. The right-hand portion of this graph is shorter compared to the left side, but I don't think that's enough info to say if we have skewed data or not; so I would stick with "roughly symmetric" here.6) Unlike problem 5, we don't have symmetric data. Instead, we have data that is skewed to the right. The main cluster is grouped or centered on the left side, while we have some outliers to the right side. Draw a curve over each peak of the bars and you'll see that the right tail is pulled longer than the left tail is. We consider this a positively skewed distribution because there are outliers in the positive x direction compared to the main cluster. In contrast, a negatively skewed distribution would have outliers smaller than the main cluster. The mean is larger than the median for a right-skewed distribution. This is due to the mean being pulled on by the outlier, while the median is robust and isn't affected by outliers no matter how distant they are.Select the correct answer.
How many degrees define a straight angle?
OA
180°
OB.
120°
OC.
45°
OD.
90°
Answer:
180°
Step-by-step explanation:
A whole circle is 360°, therefor an straight line is half of that, so 360/2=180.
There are less 32 students in Mr. B’s math class
Answer:
-32????
Step-by-step explanation:
I don't see an actual question here, so my three answers that I got from this post are:
-32
<32
>-32
Can someone help me with this please??
Answer:
<BED and <DEA, <AEC and <BEC
Step-by-step explanation:
Supplementary angles are two angles whose degree measures add up to 180 degrees. In other words, two angles that form a straight line.
In the given picture that is: <BED and <DEA, together they form line AB.
Another two supplementary angles in the given image are: <AEC and <BEC, they form line AB, from a different perspective.
MATH CHALLENGE 30 POINTS
Hey guys, here’s a math challenge for u. Fill in the missing slots. All the rows, columns, and diagonals have to have the same sum. First person to get the correct answer will get brainliest and a thanks. Go!
Answer:
21 24 9
6 18 30
27 12 15
Step-by-step explanation:
Evaluate 05= plz help me this is from khanacadmy and if you guys have time then can you help me on the rest cause I have parent teacher conference and let's be freinds
for a nice tank you ill give you 88 points
does 2 over 2 equal one?
by the way the 2 over 2 is a fraction.
Answer:
Yes
Step-by-step explanation:
Yes it does
could you help me? I will go over more than 10 points
Answer:
1. Cube
2. Triangular Prism
3. 73.5
Step-by-step explanation:
for the third question: 12.25 per square, 6 squares. 12.25 times 6 = 73.5
What is the eighth term in the pattern 2,10, 18,26,
I’m so confused can someone help me?
Answer:
Step-by-step explanation:
7. 15/10 = 24/18
900 ≠ 240
not similar
8. 4/6 = 9/15
54 ≠ 60
not similar
9. x/24 = 9/40
x= 5.4
10. 8.7/x = 6/16
6x = 139.2
x = 23.2
x = 18.7
11. 24/9 = x/45
9x = 1080
x = 120 feet
solve for x help pleaseeeee
Alex scored 70% of 100 in a test What percentage does this represents
Answer: alex scored a 70 on his test
Step-by-step explanation: Alex scored a 70 on his test because
70%x100= 70
Answer:
70%
Step-by-step explanation:
70/100 is the same as 70%.
Gavin rented a truck for 5 days. The truck
rental company charged him $55.00 per day,
plus $0.15 per mile. The total charge was
$285.20. How many miles did Gavin drive?
can you help me please
Answer:
108.83yd²Use SAS to solve for the area:
((A x B) x sin C) / 2
A: Side 1
B: side 2
C: angle in-between
5B. Using the balanced seesaw shown, find the ratio of lengths a/b in lowest terms.
Answer:
Lowest terms is 7:6
Step-by-step explanation:
A = 63
B = 54
Ratio is a:b = 63:54
63:54
Reduce 63 to lowest terms to get 7 by dividing 9.
63 ÷ 9 = 7
Reduce 54 to lowest terms to get 6 by dividing 9.
54 ÷ 9 = 6
So the reduced form 63:54 in ratio is 7:6.
7:6
I hope this helped!
Answer:
6:7
Step-by-step explanation:
weight * distance = weight * distance,
so 63 * d1 = 54 * d2
LCM(63,54) = 378
378÷63 = 6
378÷54 = 7
so the answer is 6:7
Heather is a software saleswoman. her base salary is 1900, and she makes an additional $40 for every copy of math is fun she sells.
let P represent her total pay (in dollars) and N represent the number of copies of math is fun she sells. write and equation relating P to N and use this equation to find her total pay if she sells 27 copies of math is fun.
Answer:
[tex]P = 1900 + 40N[/tex]
[tex]P = 2980[/tex] when N = 27
Step-by-step explanation:
Given
[tex]Base\ Salary = 1900[/tex]
[tex]Additional = 40[/tex] per copy
Solving (a): Her total pay (P)
This is represented by:
[tex]P = Base\ Salary + Additional * N[/tex]
[tex]P = 1900 + 40 * N[/tex]
[tex]P = 1900 + 40N[/tex]
Solving (b): Total pay when N = 27
Substitute 27 for N
[tex]P = 1900 + 40 * 27[/tex]
[tex]P = 1900 + 1080[/tex]
[tex]P = 2980[/tex]
Find the value of b.A. 14B. 15C. 64D. 289
9514 1404 393
Answer:
B. 15
Step-by-step explanation:
From the second equation, ...
b² = 17² -8²
b = √(289 -64) = √225
b = 15
Plzz help mee!
Diana bought a toy for $13.75. If she paid with a twenty-dollar bill, how much change did she receive?
OA) $7.25
OB) $6.35
OC) $6.25
Answer:
C) $6.25
Step-by-step explanation:
20-13.75=$6.25
A researcher wants to know how homeowners in her state feel about home warranties. She obtains a list of 879 homeowners in her state, selects 300 of them at random, and emails a questionnaire to them. 64 questionnaires are returned. Of these, 80% stated that they believe that the current home warranty coverage needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study.
a. all homeowners in the researcher's state
b. The 879 homeowners whose names were obtained
c. The 64 homeowners who returned the questionnaire
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled
Answer:
a. The population
b. The accessible population
c. The sample
d. The statistic
Step-by-step explanation:
a. All the homeowners in the researchers state = The target population
b. The 879 homeowners whose name were obtained = The sample frame (accessible population)
c. The 64 homeowners who returned the questionnaire = Research participants (the sample), the subjects
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled = The statistic (subset or part of the sample)
The function f(x) = -(x + 5)(x + 1) is shown.
What is the range of the function?
10
8
O all real numbers less than or equal to 4
O all real numbers less than or equal to -3
O all real numbers greater than or equal to 4
O all real numbers greater than or equal to -3
6
2
-10
-8
4
-2
2
4
8
8
10
X
4
-6
8
-10
Answer:
a
Step-by-step explanation:
f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)
=-(x+3)^2+4
Range: all numbers ≤4
