Answers
9514 1404 393
Answer:
use the transitive property and the congruence of vertical angles
Step-by-step explanation:
First of all, look at the figure and the given information, and see how that relates to the question being asked.
Here, you're given several angles between the lines of interest, all of which are congruent, and you're asked to show the lines are parallel. Two of the given angles (1 and 4) are "alternate interior angles", so the theorem relating those to parallel lines is useful.
Statement . . . . Reason
1. ∠1 ≅ ∠2, ∠3 ≅ ∠4 . . . . 1. Given
2. ∠2 ≅ ∠3 . . . . 2. Vertical angles are congruent
3. ∠1 ≅ ∠3 . . . . 3. transitive property of congruence*
4. ∠1 ≅ ∠4 . . . . 4. transitive property of congruence
5. k ║ l . . . . 5. Converse of alternate interior angles theorem**
_____
* The transitive property tells you if a ≅ b and b ≅ c, then a ≅ c.
** The alternate interior angles theorem says the alternate interior angles at a transversal crossing parallel lines are congruent. The converse says if those angles are congruent, then the lines are parallel.
Related Questions
Use the following coordinate plane to write the ordered pair for each point .
A (,)
B(,)
C(,)
Answers
Answer:
A(-4.5,-3), B(0,2), C(4,1)
Step-by-step explanation:
u just look at their positoions and u go to left side or right side first, then up or down.
left and down are negative.
right and up are positive.
solve for x pls help
Answers
Answer:
3
Step-by-step explanation:
simple
Mr.Smith saved $15 by buying a tool at a 10% discount. What was the original price for the tool?
Pls i'll mark brainliest i beg you ppl i need the answer in a couple min.
Answers
Answer:
$150
Step-by-step explanation:
Well we know that 10% is going to equal 1/10 of 100%.
So now just multipy 15% times 10 to get the original price.
-12n + 3(n +
36)
Please helppp
Answers
Answer:
-9n+108
Step-by-step explanation:
-12n+3(n+36)
-12n+3n+108
-9n+108
Answer:
-9n+108
Step-by-step explanation:
distribute then combine like terms
Also this one!
And without you guys I would fail lol so thank you <33
Answers
Answer:
Charlotte is right; m=1/3
Step-by-step explanation:
On the graph, you can pick 2 points to find slope with slope formula:
(y2-y1)/x2-x1)
Two points we can choose from the graph are (0,0) and (1,3).
Now we plug these into our formula:
(1-0)/(3-0)
1/3
HTH :)
Distributive Property Practice
Remember: Multiply BOTH pieces inside the parentheses by the number outside of the parentheses.
4(3x+ 2)
3(7y-1)
5(3p + 4r)
3(2w - 5y)
10(10e + 7g)
8(2b + 5)
7(c + 7)
9(6a +x)
Answers
Answer:
1: 12x + 8
2: 21y - 3
3: 15p + 20r
Step-by-step explanation:
HURRY GETTING TIMED Which values are two of the possible solutions to the equation?
Which values are two of the possible solutions to the equation?
Sine (5 x minus pi) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, 0 less-than-or-equal-to x less-than 2 pi
Left-brace StartFraction pi Over 20 EndFraction, StartFraction 3 pi Over 20 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 20 EndFraction right-brace
Left-brace StartFraction 5 pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace
Answers
The possible values of the solutions to the equations are; (π/4, 7π/4)
How to solve trigonometric equations?
We are given the equation;
sin(5x - π) = (√2)/2
Now, (√2)/2 is also expressed as 1/√2.
Thus;
sin(5x - π) = 1/√2
5x - π = sin⁻¹(1/√2)
5x - π = π/4
5x = π + π/4
5x = ⁵/₄π
Thus;
x = π/4
Now, since x < 2π, then it means it is in the fourth quadrant. Thus;
x = 7π/4
Read more about Trigonometric Equations; https://brainly.com/question/1687218
#SPJ6
Civil engineers are designing a section of road that is going to dip below sea level. The road's curve can be modeled by the equation y = 0.00005x2 - 0.06x, where x is the horizontal distance in feet between the points where the road is at sea level and y is the elevation. The engineers want to put stop signs at the locations where the elevation the road is equal to sea level. At which horizontal distances will they place the stop signs?
Answers
Answer:
1200feet
Step-by-step explanation:
Given the the road's curve elevation modeled by the equation
y = 0.00005x^2 - 0.06x,
x is the horizontal distance in feet between the points where the road is at sea level and;
y is the elevation
The elevation the road is equal to sea level when y = 0
Substitute y = 0 into the equation and calculate x;
0 = 0.00005x^2 - 0.06x
0.06x = 0.00005x^2
0.06 = 0.00005x
x = 0.06/0.00005
x = 1200 ft
Hence they will place the stop sign at a horizontal distance of 1200feet
HELP PLEASE!!!!
Ray created the list of factors for 48 below
43 1,2,3,4,6,7,8, 12, 16, 24,48
Which number should be removed from his list to make the list accurate?
10
Answers
Answer:
7
Step-by-step explanation:
7 is not a factor of 48, since 7 can not be multiplied by another whole number to get 48. (48 divided by 7 is 6.8)
Answer:
7
Step-by-step explanation:
Can you please check if this is correct
Answers
Answer:
here it is
Step-by-step explanation:
hope you understand
Which expressions are equivalent to
K/2
?
Answers
Answer:
Your answer would be k+k because you're adding a number by itself which is the same as multiplying by 2
Two numbers multiply to -24 and add up to -5
Answers
Answer:
-8 and 3
Step-by-step explanation:
The asked numbers are -8 and 3.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, two numbers multiply to -24 and add up to -5
Let the two numbers be x and y
x+y = -5...(i)
xy = -24
x = -24/y...(ii)
Put eq (ii) in eq (i)
-24/y + y = -5
-24 + y² = -5y
y²+5y-24 = 0
Factorizing,
y = 8 and 3
Taking y = 3, put it in eq(ii)
x = -24/3
x = -8
Hence, the asked numbers are -8 and 3.
Learn more about equations, click;
https://brainly.com/question/29657988
#SPJ5
Please help me I need the answer ASAP
Answers
X= 8
AB= 9
BC=18
AC=27
How did I get this?
To find X;
2(2x-7)=3x-6
4x-14=3x-6
X=8
To find AB;
2(8)-7
16-7
9
To find BC;
3(8)-6
24-6
18
To find AC;
[2(8)-7]+[3(8)-6]
(16-7)+(24-6)
(9)+(18)
27
A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
plz help
Answers
Answer:
121cm −25πcm ≈42.46cm
Step-by-step explanation:
First, calculate the area of the whole figure, including the unshaded area.
(The area of a rectangle is the length times the width.)
Next, calculate the area of the inner figure.
π×5cm×5cm=25πcm
Finally, subtract the area of the inner circle from the area of the outer rectangle.
please help with the 2 questions ive attached, i dont understand it at all
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
Consider the denominator
To obtain 5xy from x , multiply by 5y
Thus numerator is multiplied by 5y, that is
[tex]\frac{1}{x}[/tex] = [tex]\frac{5y}{5xy}[/tex]
(b)
Consider the numerator
To obtain 5ab² from ab, multiply by 5b
Thus denominator is multiplied by 5b, that is
[tex]\frac{ab}{2c}[/tex] = [tex]\frac{5ab^2}{10bc}[/tex]
help!! please if can i need answer
Answers
I think it is
Graph the inequality below on a number line
[tex]x < - 2[/tex]
Answers
PLZ HELP! DUE TODAY! I WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS CORRECTLY!
Which of the following statements is not true?
|-2.2| > |2.1|
0.6 > -4.1
-7.4 < -5.2
|-1.5| < 0
Answers
Answer: D.
Step-by-step explanation:
The last statement is false.
Answer:
1 is false.
Step-by-step explanation:
1. Look at the signs.
2. Look at the number itself. If you are dealing with a positive, you count up to get higher numbers. If you are dealing with a negative(a number with - at the beginning) you count up to get lower numbers.
3. Compare the decimal in the number to the decimal in the other number.
4. Look at the greater-than and less-than signs.
5. Use what you know about positive and negative numbers and decimals and apply that to the statement. If the statement makes sense, it is true. If the statement does not make sense, it is false.
Ethel is heading to the store to buy some fresh fruit. She wants to buy a pineapple for $4 and then wants to buy as many pounds of raspberries that she can. Raspberries are $3 per pound. She can spend at most $19. Write and solve an inequality to determine how many pounds of raspberries she can buy. Let x represent pounds of Raspberries.
Answers
Answer:
she can by 5 pounds of raspberries
Step-by-step explanation:
4 - 19 = 15
15 ÷ 3 = 5
PLEASE HURRY! WILL GIVE BRAINLEST TO THE BEST ANSWER!
How do i get the equation: 2x+3y=1,470 to slope intercept form. please provide steps :))
Answers
Answer:
y= -2 +490
3
Step-by-step explanation:
y=mx+b is the slope intercept form of a like where m is the slope and b is the y intercept
Answer:
y=-2/3x+490
Step-by-step explanation:
As we know the formula for slope intercept form would be y=mx+b
therefore we arrange our numbers in the following manner:
First subtract 2x from 2x so it'll be like 2x-2x and they cancel each other out so keep that in mind, now what you do on one side you have to do it on the other side as well therefore you'll putt -2x on the other side now we are left our equation as 3y=1,470-2x
Second, as we want our form to be slope intercept form I believe that y should be by it self and to do that you need to divide 3 from y, now remember that what you do on one side you have to do it on the other. So you'll divide 3 from all the numbers on the other side. Now on the other side we have 1,470-2x so we will divide 1,470/3=490 and -2x/3 now we are left with y= 490-2/3x ( i left -2/3x as that because dividing makes it a decimal and a decimal and the fraction has the same value so I just left it as a fraction)
Thirdly, sense we want our equation as a slope intercept form we will need to rearange our equation which we need to keep in mind the form which is y=mx+b so that makes it to our answer y=-2/3x+490
Hope this helps :)
what is a commission
Answers
Answer:
Commission-An instruction/command given to a person or group of people.
Answer:
It’s basically an instruction, command, or role given to a person or group.
Step-by-step explanation:
I NEED HELP! with these 5, & 7?
Answers
Answer:
5 is -20
7 is -5
Answer:
[tex]5. \: -8/ -2 × -5 = -20[/tex]
[tex]7. \: \\ -25/5 × -40/8 = - 25[/tex]
[tex]have \: a \: safe \: life[/tex]
use (x+a)(x+b)=x2+(a+b)x+ab find 101*102
Answers
Answer:
[tex]101 * 102 = 10302[/tex]
Step-by-step explanation:
Given
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Required
Find 101 * 102
[tex]101 * 102 =[/tex]
Express as a sum of 100
[tex](100 + 1) * (100 + 2)[/tex]
Compare this to [tex](x + a)(x + b)[/tex]
We have that:
[tex]x = 100[/tex]
[tex]a = 1[/tex]
[tex]b = 2[/tex]
Recall that:
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Substitute 100 for x, 1 for a and 2 for b
[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]
[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10302[/tex]
Hence:
[tex]101 * 102 = 10302[/tex]
how do i figure this out?
Answers
the answer is 34
in order to find answer:
enter tan^-1( 2/3 into calculator
2 is on oppisite side and 3 is on adjacent so we use tan = o/a
whats 9+10? correct answer gets brainliest
Answers
Answer:
21
Step-by-step explanation:
solve for x
and give reasons for your answer
Answers
Answer:
80°
Step-by-step explanation:
alternate angles are equal
angles in a straight line add upto 180°
therefore angle ABC =80°
But it is alternate to the one at x.
Answer:
x = 80°
Step-by-step explanation:
∠CBD = ∠ABF
= 100°
(Vertically opposite angles are equal and AD and EH are parallel with CG cutting across both lines)
∠x = 180°-100°
= 80°
(∠ABF and ∠x are consecutive interior angles as they are within two parallel lines so they add up to 180°)
En mi familia tres primos cumplimos años el mismo día y la abuela quiere regalarnos dinero a los tres para que nos compremos lo que deseamos.Sin embargo,a cada uno nos gustan cosas de diferentes precios,yo deseo gastar el dinero en un día de salida al cine y comer en algún restaurante,para lo cual mi abuela me dio 2 veces mas que el dinero que le dio a reiner;mientras que julio quiere un reloj y recibió cuatro veces lo que recibió reiner.El más pequeño de todos es reiner,el quiere dos juegos de xbox ¿que cantidad de dinero nos dio la abuela a cada uno por los cumpleaños, si en total por los tres sumaron $6000?
Answers
Answer:
Tu recibiste = $1714,3
Reiner recibió = $857,1
Julio recibió = $3428,6
Step-by-step explanation:
Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:
[tex] A + R + C = 6000 [/tex]
Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:
[tex] 2R + R + 4R = 6000 [/tex]
[tex] R = \frac{6000}{7} = 857,1 [/tex]
Ahora, podemos encontar cuanto recbieron los otros dos primos:
[tex] A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 [/tex]
[tex] C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 [/tex]
Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.
Espero que te sea de utilidad!
Determine the domain of the following graph:
y
11
9
8
7
4
3
2
1
-12-11-10-9-8
-6-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-4
-5
-6
-7
-8
-10
- 12
Answer:
Submit Answer
Or
<
8
G D
G]
6)
All Real Numbers
attempt 1 out of 2
Answers
Answer:
i need a pic of the graph to tell you the answer
Step-by-step explanation:
a tree is sold based on the circumference of the tree. if a tree has the radius of 4+inches, then what is the circumference of the tree
Answers
Answer:
The circumference of the tree will be: 25.12 inches
Step-by-step explanation:
The radius of the tree = r = 4 inches
As the tree is sold based on the circumference of the tree.
The formula of the circumference = C = 2πr
= 2(3.14)(4) ∵ r = 4 inches
= 25.12 inches
Therefore, the circumference of the tree will be: 25.12 inches
2) Find m2FGH if m_FGB = 105°
and mZBGH = 54º.
Answers
Answer:
159°Step-by-step explanation:
Angle addition postulate:
∠FGB + ∠BGH = ∠FGHm∠FGH = 105° + 54° = 159°angle FGB = 105°
angle BGH = 54°
To Find:The measure of angle FGH.
Explanation:angle FGB + angle BGH = angle FGH
By putting the respected values, we get
105° + 54° = angle FGH
or, 159° = angle FGH
Answer:The measure of angle FGH is 159° .