I hope it helps you ❤️❤️
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
Creating a password with two letters followed by two one-digit numbers. (Find the total number of outcomes that are possible)
Answer:
67,600 possible outcomes
Step-by-step explanation:
In total, it's a four digit password.
For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).
! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.
Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9
so 26 x 26 x 10 x 10 = 67,600
hope this helps!
what is the answer please help me
Which event has a probability of 1/2? Select all that apply.
A.rolling a number greater than 6 on a six-sided number cube.
B.Picking a black marble out of a bag of black marbles
C.A flipped coin landing on tails
D.A flipped coin landing on heads or tails
E.Picking a blue marble from a bag of 6 red marbles and 6 blue marbles
F.Rolling an odd number on a six-sided number cube
Given Angle 1 = Angle 2, find X.
X =
Answer:x=6
Step-by-step explanation:
look yall i got 10 math questions if you get all ten right brainlliest so if yall could help a man out here it would be great
here they are
1.)Which of the following best describes the squaring property of equality?
A.
if a=b,then [tex]a^{2} =b^{2}[/tex]
B
if [tex]a\leq b then a^{2} \leq b^{2}[/tex]
C
[tex]if a\geq b then a^{2} \geq b^{2}[/tex]
D
[tex]if a \neq b then a^{2} \neq b^{2}[/tex]
2.)Solve for x.
[tex]\sqrt{x-2} =9[/tex]
A.
11
B.
20
C.
83
D
no solution
3.)The length of a side of a square is [tex]\sqrt{x^{2}-4 }[/tex] If the area of the square is 12, find x.
A.
16
B.
4
C.
12
D.
[tex]\sqrt{148}[/tex]
4).Solve for x.
[tex]5x^{2} +3=-122[/tex]
A.
no solution
B.
–5
C.
±5
D.
±25
5.)solve for x[tex]x^{2} +5=30[/tex]
A.
±25
B.
[tex]\sqrt{35}[/tex]
C.
±5
D.
no real solutions
6.)The acceleration of an object can be described by the equation[tex]a=\frac{2d}{t²} where a is acceleration, d is the distance, and t is time. Suppose an object accelerates for a distance of 15 meters. Which of the following equations relates the time to the acceleration?
A.
[tex]t=\sqrt{\frac{a}{30} }[/tex]
B.
[tex]t=\sqrt{\frac{a}{15} }[/tex]
C.
[tex]t=\sqrt{\frac{30}{a} }[/tex]
D.
[tex]t=2\sqrt{\frac{30}{a} }[/tex]
7.)The acceleration of an object can be described by the equation [tex]a=\sqrt{\frac{2d}{t²} }[/tex] , where a is acceleration, d is the distance, and t is time. Suppose an object accelerates at a rate of 5 meters per second squared. Which of the following equations relates the time of the acceleration to the distance?
A.
[tex]t=\sqrt{10d}[/tex]
B.
[tex]t=\sqrt{2d}[/tex]
C.
[tex]t=\sqrt{\frac{5d}{2} }[/tex]
D.
[tex]t=\sqrt{\frac{2d}{5} }[/tex]
8.)Solve for x [tex]\sqrt{2x+8}=2[/tex]
A.
2
B.
–3
C.
–2
D.
no solution
9.)Solve for x:[tex]\sqrt{3x-2}=2[/tex]
A.
2
B.
[tex]-\frac{2}{3}[/tex]
C.
–2
D.
no solution
10.)What is the first step to solve the equation [tex]x^{2} -3=15[/tex]
A.
Take the square root of [tex]x^{2}[/tex], 3, and 15.
B.
Square 15.
C.
Add 3 to both sides of the equation.
D.
Add 1 to both sides of the equation.
can yall help a brother out im in deep sh|t if i dont pass so if your gunna do it do it right thank yall for helpen me out oh and i already tried to look em up so that dont work
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
Step-by-step explanation:
2.explanation: 11-2=9
sorry but that's all i know i'm only in middle school
Answer:
number 2. is A I think number 8. is -2 or 2 it might be between those two
2.explanation: 11-2=9
Step-by-step explanation:
What is the area of the composite shape?
The triangle has an area of 7 7/8 cm2 and a base of 5 1/4 cm. What is the height?
Answer:
3
Step-by-step explanation:
7 7/8÷51/4
3/2÷1/2
3
A=bh1/2
A=5 1/4×3×1/2
A=15 3/4×1/2
A= 7 7/8
(Mark as brainliest please)
Multiply.
(−3x+4)(2x−1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
-6x^2+11x-4
Step-by-step explanation:
Answer:
6[tex]x^{2}[/tex]+11x-4
Step-by-step explanation:
(-3x+4)(2x-1)
Use the distributive property. The picture below will show it is supposed to be done.
i will first be using the distributive property on -3x
4(-3x(2x)-3x(-1))Complete the equation
4(2x-1)(-6x^2+3x)Now distribute the 4 into the equation.
8x-4-6[tex]x^{2}[/tex]+3xNow combine like terms
11x-4-6[tex]x^{2}[/tex]Write in standard form
-6[tex]x^{2}[/tex]+11x-4You invested $600 in a shark tank invention and received $180 in interest after four years. What had been the interest rate? Do NOT round your answer!
4n+1=25
Please help with an explanation
Answer:
n = 6
Step-by-step explanation:
To isolate n, subtract 1 from both sides:
4n + 1 = 25
4n = 24
Then divide by 4 on both sides:
4n = 24
n = 6
Hope this helped :)
Answer:
6
Step-by-step explanation:
4n+1= 25
or,4n= 25- 1
or,4n=24
or,n=24/4
so n= 6
The shapes below are mathematically similar.
14 cm
7 cm
8 cm
X
Calculate the length of side x.
Answer:
4
Step-by-step explanation:
we can see that the big square is twice as large as the small one
which makes x=4
The scale factor is 2. Then the value of the variable 'x' is 1 cm.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The scale factor is given as,
SF = 14 / 7
SF = 2
Then the value of the variable 'x' is calculated as,
x = 8 / SF
x = 8 / 2
x = 4 cm
The scale factor is 2. Then the value of the variable 'x' is 1 cm.
More about the dilation link is given below.
https://brainly.com/question/2856466
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HELP PLEASE FOR BOTH QUESTIONS
Answer:
6) x^2+6x+8
7) x^2+3x-10
Step-by-step explanation:
write 3^n/9^(n-1) as a power of 3
Answer:
[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]
Step-by-step explanation:
3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3ⁿ/9ⁿ⁻¹
three power n divided by nine power n minus one.
To express to the power of 2, we have few properties of exponentials.
aˣ/aⁿ=aˣ⁻ⁿ
aˣ.aⁿ=aˣ⁺ⁿ
The given expression is
3ⁿ/9ⁿ⁻¹
3ⁿ/(3²)ⁿ⁻¹
3ⁿ/3²ⁿ⁻²
3ⁿ.3⁻²ⁿ⁺²
When bases are same then we will add the powers
3ⁿ⁻²ⁿ⁺²
3²⁻ⁿ
Hence 3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
To learn more on Expressions click:
https://brainly.com/question/14083225
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I WILL GIVE BRAINLIST
Find the area of the shaded region.Required to answer. Single choice.
(20 Points)
121 square yards
153.2 square yards
214.5 square yards
256.2 square yards
to make pink paint, sylvia mixes 7 cups of white paint to every 3 cups of red paint. which table shows possible values of w, the number of cups of white paint sylvia uses, and r, the number of cups of red paint?
Answer: A
Step-by-step explanation:
For every 3 cups she need 7 cups of white paint.
answer a displays that with 3*2=6 and 7*2=14
Answer:
A
Step-by-step explanation:
I did the math
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. A pair of shoes costs $29.99 and a shirt costs $15.99. Rounded to the nearest cent, how much more is the tax on the shoes than the shirt?
Answer:
$1.19Step-by-step explanation:
The tax is 8 1/2% = 8.5%A pair of shoes = $29.99 A shirt = $15.99The difference in the cost:
$29.99 - $15.99 = $14Tax on the difference:
$14*0.085 = $1.195. 3/4 divided by 1/5
Step-by-step explanation:
3/4÷1/5
15/20÷4/20
we flip the second fraction and change the ÷ into ×
15/20×20/4=300/80
and now you can simplify this fraction.
Step-by-step explanation:
3/4 / 1/5
3/4 x 5/1
=15/4
Write the equation of the line that goes through the point (-2,3) and has a slope of -4
Answer:
y=-4x-5
Step-by-step explanation:
Use the equation of the line formula, y=mx+b
since we know that the slope is -4, we just have to find b
plug the points into the equation, y=-4x+b
(3)=-4(-2)+b
simplify
3=8+b
subtract 8 from both sides
b=-5
plug b into the equation
y=-4x-5
P+Q+R=180 then to prove (cosp/sinq.sinr) + (cosq/sinr.sinp) + (cosr/sinp.sinq)=2
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given:
[tex]\to P+Q+R=180[/tex]
prove that [tex](\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})=2[/tex]
Solving the L.H.S part:
[tex]\to (\frac{\cos p}{\sin q \cdot \sin r}) +(\frac{\cos q}{\sin r \cdot \sin p})+ (\frac{\cos r}{\sin p \cdot \sin q})\\\\[/tex]
Solve the above value by taking L.C.M:
[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \\\\[/tex]
multiply the above value by [tex]\frac{2}{2}[/tex]:
[tex]\to (\frac{\cos p \sin p+\cos q \sin q +\cos r \sin r}{ \sin p \cdot \sin q \cdot \sin r}) \times \frac{2}{2} \\\\\to \frac{2 \cos p \sin p+ 2 \cos q \sin q + 2 \cos r \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \sin 2A = 2 \sin A \cdot \cos A\\\\\because\\\\\to \frac{ \sin 2p+ \sin 2q + \sin 2r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\therefore \ \\ \bold{\sin 2p+ \sin 2q + \sin 2r= 4 \sin p \cdot \sin q \cdot \sin r}\\[/tex]
[tex]\to \frac{4 \sin p \cdot \sin q \cdot \sin r}{2 \sin p \cdot \sin q \cdot \sin r} \\\\\to \frac{2 \sin p \cdot \sin q \cdot \sin r}{ \sin p \cdot \sin q \cdot \sin r} \\\\\to 2[/tex]
So, L.H.S=R.H.S
use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,2)
Equation Form:x=0, y=2
Answer:
(0,2)
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite.
3*2x-y=3*-2
Simplify
6x-3y=-6
Add the two equations
10x = 0
Divide both by 10 and simplify
x=0
Substitute x into the equations.
4*0+3y=6
3y=6
2
y=2
Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain
Answer: She has enough.
Step-by-step explanation:
You need to add up the quantities of water needed first. That will then tell if she has enough water.
Convert the fractions to decimals then add them up:
3/8 = 0.375
1/4 = 0.25
= 0.25 + 0.375
= 0.625 cups of water is required.
This is less than the 1 cup she has so she has enough water to make the snack.
On her first three geometry test, Sarah scored 89, 93, and 84. If there are four tests total and Sarah needs at least a 90 average for the first four test, what is the lowest score she can receive on the final test?
86
94
92
90
95
Answer:
94
Step-by-step explanation:
If you add them all together, you get 266. You subtract that from 90*4= 360
you get 94
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image?
Answer:
The area is 120
The perimeter is 78
Step-by-step explanation:
To find area you have to multiply length x width.
(8x5)
To find perimeter you have to find the length of all the sides and add them
together. To find perimeter of a shape you do length x2 + width x2
(8x2 + 5x2)
Then you need to find the scale factor.
A scale factor of 3 is 3x the size of the original shape
Remember to press Thanks
Please help me!! I will give you brainleist!! Thank you!! ❤✨
Answer:
The second option is correct.
Step-by-step explanation:
First you need to find a common denominator in which is 6
You can find it like this:
1 x 3 = 3
2 x 3 = 6
3/6 is the amount of cake that was left
Now do the same thing for the amount of cake that Elisa ate.
1 x 2 = 3
3 x 2 = 6
So in conclusion the second option represents the amount of cake Elisa eats the best.
I hope this is as helpful as possible.
Answer:
Model:
2/3 (original amount of cake) - 1/3 (what was left) = 1/3 (what Elisa ate)
Math:
2/3 - 1/3 = 1/3
Calculation:
2/3 - 1/3 = (2 - 1) / 3
= 1 / 3
Explanation:
To calculate the fraction of the cake Elisa ate, we need to subtract 1/3 from 2/3. First, we need to find a common denominator for both fractions. In this case, the common denominator is 3. Then, we need to subtract the numerator of the second fraction, which is 1, from the numerator of the first fraction, which is 2. The difference is 1, which is the numerator of the fraction that represents the amount of cake Elisa ate. The denominator is 3, so the fraction that represents the amount of cake Elisa ate is 1/3.
Can somebody help me please
Answer:
It’s in between 95 and 100
Step-by-step explanation:
Not sure where though
7n +2 –(2n +7) pls help I will give you 15 points
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
Quien me puede ayudar es U R G E N T E The GCF of 54, 76 and 114 is: 2 6 4 9 1 The GCF of 35, 50 and 120 is: 2 4 5 25 2 Find the GCF of 12, 16 and 20 1 If the GCF of 56 and 120 is c, find the result of 24\div c24÷c
Responder:
a) 2
b) 5
c) 4
d) 3
Explicación paso a paso:
Debemos encontrar el MCD de los siguientes números
a) 54, 76, 114
encontrar los factores primos de cada
54 = 2 * 3 * 3 * 3
76 = 2 * 2 * 19
114 = 2 * 2 * 2 * 2 * 3 * 3
De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2
b) Para 35, 50 y 120
35 = 5 * 7
50 = 2 * 5 * 5
120 = 2 * 2 * 2 * 3 * 5
De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5
c) Para 12, 16 y 20
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
20 = 2 * 2 * 5
De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4
d) Para 56 y 120
56 = 2 * 2 * 2 * 7 = 8 * 7
120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5
De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.
Por tanto, c = 8
Necesario
24 / c
= 24/8
= 3
Por tanto, el resultado de 24 / c es 3
me podrian decir como hacer esto
(x + 3) 3 =
me podrian decir como resolverlo plis
Answer:
x=0
Step-by-step explanation:
Reste 3 por cada lado de la ecuación y luego simplifique :)
a = pt + q
p = −1, t = 4 and q = 6
Work out the value of a.
Answer:
2
Step-by-step explanation:
a = (-1 x 4) + 6
a = -4 + 6
a = 2