Answers
Step-by-step explanation:
a. given (alternate interior angles)
b. vertically opposite angles( are equal)
c. congruent angles
The Third Angle Theorem states that if two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.
d. given (congruent pairs of sides of triangles)
e. AAA or SSS congruence.
Related Questions
What are Equivalent Fractions?
What are Equivalent Ratios?
Answers
Answer:
equivalent fractions are fractions that are equal. example. 1/5 = 2/10
equivalent ratios are ratios that are equal. example. 2:4 = 4:8
In which model does the shaded portion represent 70%?
Answers
The tens digit of a two-digit number is one more than the units digit. The difference between this number and the reverse number is 1/5 of the reverse number. Find the number.
Answers
The two-digit number in which the tens digit of the number is one more than the units digit is 54.
What is the algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Let the unit digit be x. The tens digit of a two-digit number is one more than the units digit. Thus the unit digit is,
[tex]\rm \;tens\; digit=x+1[/tex]
Then the number is,
[tex]10(x+1)+x\\11x+10[/tex]
The reverse of this number is,
[tex]10x+x+1\\11x+1[/tex]
The difference between this number and the reverse number is 1/5 of the reverse number. Thus,
[tex]11x+10-(11x+1)=\dfrac{1}{5}(11x+1)\\9=\dfrac{1}{5}(11x+1)\\45=11x+1\\x=\dfrac{44}{11}\\x=4[/tex]
The unit digit is 4. Thus the tens digit is,
[tex](x+1)=4+1\\(x+1)=5[/tex]
Hence, the two-digit number in which the tens digit of the number is one more than the units digit is 54.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
54
Step-by-step explanation:
What is m∠B?
There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.
A. 51°
B. 129°
C. 134°
D. 141°
Answers
The sum of angles in a polygon adds up to 180(n - 2), where n is the number of sides of the polygon
The measure of angle B is 141 degrees
The angles are given as:
[tex]\mathbf{\angle BCD = 148}[/tex]
[tex]\mathbf{\angle D EF = 142}[/tex]
[tex]\mathbf{\angle EFG = 130}[/tex]
[tex]\mathbf{\angle FGA = 129}[/tex]
[tex]\mathbf{\angle GAB = 120}[/tex]
[tex]\mathbf{\angle CDE = 90}[/tex]
So, the measure of angle B is calculated using:
[tex]\mathbf{\angle B + 148 + 142 + 130 + 129 + 120 + 90 = 180(n -2)}[/tex]
[tex]\mathbf{\angle B + 759 = 180(n -2)}[/tex]
Substitute 7 for n
[tex]\mathbf{\angle B + 759 = 180(7 -2)}[/tex]
[tex]\mathbf{\angle B + 759 = 180 \times 5}[/tex]
[tex]\mathbf{\angle B + 759 = 900}[/tex]
Make B the subject
[tex]\mathbf{\angle B = 900 - 759}[/tex]
[tex]\mathbf{\angle B = 141}[/tex]
Hence, the measure of angle B is 141 degrees
Read more about polygons at:
https://brainly.com/question/19023938
2x + 15 = -21
Solve for X
Answers
Answer:
x = -18
Step-by-step explanation:
Answer:
X=-18
Step-by-step explanation:
Ok so subtract 15 from both sides
Step 1
2x+15=-21
-15 -15
Step 2
2x=-36
2x/2=36/2
You want to divide
And then you will get
X=-18
Which of the following are partial products for 43x17 choose all that apply
Answers
Answer:
10 multiply 40, 10 multiply 3, 7 multiply 40, and 7 multiply 3.
Step-by-step explanation:
hope it helps!
9. Your digital camera has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo. Write an equation to model the amount of each kind of photo you can take.
Answers
Answer:
well, you can take 64 high-res shots, and if you dont take any high-res shots, you can take 128 low-res shots
Step-by-step explanation:
9514 1404 393
Answer:
4L +8H = 512
Step-by-step explanation:
If we let L represent the number of low-res photos, and H the number of high-res photos, then the amount of memory (in MB) required will be ...
4L +8H
An equation for the total number of photos that can be taken will be ...
4L +8H = 512
Interest=? Principle=$580 2% 6 months *
$0.58
$5.80
$58.00
A billion dollars
Answers
Answer:
The interest is $5.80
Step-by-step explanation:
Here, we want to
calculate the interest on $580 for 6 months at a rate of 2%
Mathematically, we use the formula;
I = PRT/100
As T is not up to a year, we did use by 12 which is 6/12 = 0.5
P = 580
R = 2%
Substituting these values in the interest formula, we have;
I = (580 * 2 * 0.5)/100 = $5.80
Please help!!
I can’t seem to understand
Answers
Answer:
Obtuse and Isosceles (A and E)
Step-by-step explanation:
Here are definitions
Obtuse > 90 degrees
Scalene: All different sides
Equilateral: All same sides
Acute < 90 degrees
Isosceles: Two same side
Right = 90 degrees
Use the graph below to answer the following question: graph of parabola going through 1, negative 3, and 3, 1 What is the average rate of change from x = 1 to x = 3?
Answers
Answer:
i think your answer is 4
Step-by-step explanation:
please mark brainlyiest
shyam saves 30% of his salary. If his expense is 14000, find his total income and savings.
Answers
Therefore 70% = 14,000
Find 1% (Divide by 70)
1% = 200
Find 100% (Total Income) (Multiply by 100)
100% = 20,000
Total Income = 20,000
Savings = 30% of Total Income
Find 10% (Divide by Ten)
10% = 2000
Find 30% (Multiply by three)
30% = 6000
Therefore:
Total Income = 20,000
Savings = 6,000
solve these equations
and don't troll or I will report you
Answers
Answer:
1) x= 268
2) y= 282
3) x= 15
4) x= 133
5= -13
6= -4
Step-by-step explanation:
When simplifying the following problem what calculation should be done first:
-2(6) + 3(5 - 4 + 2)
O multiplication
O addition
O subtraction
Answers
−
2
)
(
6
)
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
1
+
2
)
=
−
12
+
(
3
)
(
3
)
=
−
12
+
9
=
−
3
Peil
5.
bo
The sum of three consecutive multiples of 7 is 777. Find these multiples.
(Hint: Three consecutive multiples of 7 are ‘x’, *x +7', *x+14)
Answers
Answer:
7*7*7
Step-by-step explanation:
A store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
Answers
Answer:
$62.50
Step-by-step explanation:
Answer:
$65.00
Step-by-step explanation:
HELP DUE AT 11!!!! -2v + v = 3
Answers
Answer:
Step-by-step explanation:
solve for v
-2v + v = 3
combine like terms
-v = 3
divide by -1
v = -3
Answer:
Hey, your answer is v=3
Step-by-step explanation:
Need help ASAP
Give the slope of y - 4 = 5(x-2) and a point on the line.
OA. The slope is 4 and (2, 5) is on the line.
O B. The slope is 2 and (5, 4) is on the line.
OC. The slope is 5 and (2, 4) is on the line.
OD. The slope is 5 and (-2, -4) is on the line
Answers
Answer:
The slope is 5 and (2, 4) is on the line
The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
Answers
Answer:
y=-7
Step-by-step explanation:
y-3=-2(x+5)
distribute the -2 into the ( )
y -3= -2x -10
cancel to -2x
y- 3 = -2(0) -10
y-3 = -10
+3 +3
y= -7
Hope this helps!!
The y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a straight line equation:
y - 3 = -2(x+5)
y - 3 = -2x - 10
Plug x = 0 to get the y-intercept
y - 3 = -2(0) - 10
y = -10 + 3
y = -7
Thus, the y-intercept is -7 if the equation of the straight line is y - 3 = -2(x+5).
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
6-9x=5x-9x+16 whats the value of x
Answers
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 - 9x = 5x - 9x + 16
Step 2: Solve for x
Combine like terms: 6 - 9x = -4x + 16Add 9x on both sides: 6 = 5x + 16Subtract 16 on both sides: -10 = 5xDivide 5 on both sides: -2 = xRewrite: x = -2Answer:
x= -2
Step-by-step explanation:
to find the value of x, we need to isolate it
first add 9x to both sides so that the equation looks like this
6 = 5x +16
then we need to subtract 16 from both sides to get
-10 = 5x
then if we divide everything by 5, you find that x = -2
hope this helps :)
What will the new dimensions of the rectangle be after a dilation with a scale factor of 7/8 ?
help asap please !
Answers
Step-by-step explanation:
Original dimensions is 32 feet by 8 feet
32 * (7/8) = 28.
8 * (7/8) = 7.
Hence the new dimensions is 28 feet by 7 feet.
Answer:
28 feet by 7 feet
Step-by-step explanation:
It just is haha
Need 9 asap pls it’s eary
Answers
Answer:
u=4
v=2√3
Step-by-step explanation:
Sin(30°)=2/u
1/2=2/u
u=4
tan(30°)=2/v
√3/3=2/v
v=2√3
If jimmy has 3 papers and bob gives jimmy 336 papers then richard steals 124 papers how many papers does jimmy have?
Answers
Since Jimmy has 3 papers and Bob gave him 336. Richard steals 124 papers leaving Jimmy with 215 papers.
The equation looks like this:
[tex](3+336) - 124 = 215[/tex]
btw richards mean for stealing jimmy's papers :D
1. Is 9/5=27/15 or 12:15 and 30:50 proportional
2. what value of x would make this proportional true
2.1/x=1.5/1.4
A.0.6
B.1.96
C2.25
D2.94
Answers
2. B. 1.96
combining like terms 5(-2n+4)+2(n+3)
Answers
Answer:
-8n + 26
Step-by-step explanation:
Distribute the 5 and 2:
5(-2n + 4) + 2(n + 3)
-10n + 20 + 2n + 6
Add together the variable terms and numbers:
-8n + 26 is the final expression
•distribute 5 and +2 by multiplying it with the numbers inside the bracket
= -10n + 20 + 2n + 6
Note: this step could be done with left side first then right side. I just thought this would be faster to do it together (if this (note) is confusing you can ignore it)
• combined the like terms, so all the n’s one the left and the rest on the right
= -10n + 2n + 20 + 6
• add the up according to their signs (+ or -)
= -8n + 26
You can also simplify it more by finding a common factor.
2 (-4n + 13) (this is also give you the same answer)
^ if this is too confusing or if you haven’t learned it yet you can leave it out.
Reminders:
• follow BEDMAS or PEDMAS
• remember to ALWAYS go from left to right
• if there is a negative number outside the bracket, it must be distributed with the number. For ex:
-2 (n+3)
= -2n - 6
Note when multiplying or dividing:
• negative and negative = positive
• positive and positive = positive
• negative and positive = negative
• positive and negative = negative
Susie drank 2 3 liter of water Monday before going jogging. She drank 3 4 liter of water after her jog. How much water did Susie drink altogether? Write your answer as a mixed number
Answers
Neal had 20 science questions to answer for homework. He finished 12 of the questions before leaving class. Which percent of homework does Neal have left to finish at home?
Answers
Answer:
40%
Step-by-step explanation:
12/20 *5 60/100 so he did 60% and there is only 40% he did not do.
Emily is entering a bicycle race for charity. Her mother pledges $0.80 for every 0.25 mile she bikes. If Emily
bikes 7 miles, how much will her mother donate?
Her mother will donate $
Ok
Answers
Answer:
multiply 15 by 4. because for .25 to be a mile multiply by 4. then multiply that with $0.40. $24
Step-by-step explanation: hope that helps
Which statement correctly names the congruent triangles and justifies the reason for congruence?
Answers
Answer:
C
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
Triangle ABC matches up to EFD.
We know both triangles have right angles and we know the distance of the hypotenuse (5 units) and one of the legs (4.5 given). So, the justification is HL, not AAS.
someone help I have been stuck on this for 7 months now and haven't seen the sun in years
Answers
The sum of angles of a triangle equals the straight angle (180°), therefore:
3x + 12x + 1 + 16x - 7 = 180
31x-6=180
31x = 180 + 6
31x = 186
x = 186/31
x = 6
Answer: It's 31x + -6
Step-by-step explanation:
Add all the numbers with x together because they all have the same variable
Then add the -7 to 1 to get -6 since they both don't have variables and are the same
Lastly just put the equation together and there you go!:)
Hope you see the sun now
Jenny had driven for 2 h at a constant speed when round repairs forced her to reduce her speed by 10 mi/h for the remaining 1 h of her 152 mi trip. Find her original speed.
Answers
Answer:
Her original speed is 54 mi/h
Step-by-step explanation:
Here, we want to calculate the original speed
Let this be x mi/h
Mathematically;
distance = speed * time
So she drove at a speed of x mi/h for 2 hours, then (x-10) mi/h for the remaining 1 hour for a total 152 mi journey
Mathematically, we can add up the journey parts as
x(2) + (x-10)1 = 152
2x + x - 10 = 152
3x = 152 + 10
3x = 162
x = 162/3
x = 54 mi/h
