Lines a and b are parallel lines cut by transversal f.

Parallel lines a and b are cut by transversal f. At the intersection of lines f and b, the uppercase left angle is angle 4. At the intersection of lines f and a, the uppercase right angle is angle 1.

If , what is ?

20°
70°
110°
130°

Answer:

[tex]c + d^2 = 96[/tex]

Step-by-step explanation:

Given

[tex]c = -4\\d = 10[/tex]

Required

Find [tex]c + d^2[/tex]

To find [tex]c + d^2[/tex], we simply substitute 10 for d and -4 for c in the given expression.

The step is as follows:

[tex]c + d^2[/tex]

Substitute [tex]c = -4\\d = 10[/tex]

[tex]c + d^2 = -4 + 10^2[/tex]

[tex]c + d^2 = -4 + 10*10[/tex]

[tex]c + d^2 = -4 + 100[/tex]

[tex]c + d^2 = 96[/tex]

The expression cannot be solved any further; so, we can conclude that when d = 10 and c = -4, [tex]c + d^2 = 96[/tex]

Answer:

∠MPQ ≅ ∠MPR: Reason; Corresponding parts of congruent triangles are congruent (CPCTC)

∠PQR ≅∠PRQ: Reason; CPCTC

Step-by-step explanation:

[tex]\overline{PQ}\cong \overline{PR}[/tex]: Reason; Given

Draw [tex]\overline{PM}[/tex] so that M is the midpoint of [tex]\overline{QR}[/tex]: Reason; Two points determine a line

[tex]\overline{QM}\cong \overline{RM}[/tex]: Reason; Definition of midpoint

[tex]\overline{PM}\cong \overline{PM}[/tex]: Reason; Reflexive property

ΔPQM ≅ ΔPRM: Reason; Side Side Side (SSS) rule for triangle congruency

∠MPQ ≅ ∠MPR: Corresponding parts of congruent triangles are congruent CPCTC

∠PQR ≅∠PRQ: CPCTC

Answer:

  B  5 cm

Step-by-step explanation:

The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.

The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.

If s is the slant height, then ...

  s^2 = 3^2 + 4^2 = 9 +16 = 25

  s = √25 = 5

The slant height is 5 cm.

Answer:

5x³+10x²-3x+3

Step-by-step explanation:

(4x²-3x) - (-5x³-6x²-3)

5x³+10x²-3x+3

If equations M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then M(x)-N(x)=[tex]5x^{3} +10x^{2} -3x+3[/tex].

An equation is a relationship between two or more variables expressed in equal to form. It is often equated to find the values of variables. The form of an equation is ax+by=c.

We have been given M(x)=[tex]4x^{2} -3x[/tex] and N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] and we have to find the difference between M(x) and N(x) and to solve them we have to open the brackets and add the coefficients of variable.

M(x)-N(x)=[tex]4x^{2} -3x-(-5x^{3}-6x^{2} -3)[/tex]

First we have to open the brackets.

=[tex]4x^{2} -3x+5x^{3}+6x^{2} +3[/tex]

Now we have to add the coefficients of same variable having same powers.

[tex]=5x^{3}+10x^{2} -3x+3[/tex]

Hence if M(x)=[tex]4x^{2} -3x[/tex] , N(x)=[tex]-5x^{3}-6x^{2} -3[/tex] then difference between {M(x)-N(x)} =[tex]5x^{3}+10x^{2} -3x+3[/tex].

Learn more about equations at https://brainly.com/question/2972832

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Answer:

Is this the inter question

Answer:

c  <  32/27

Step-by-step explanation:

−7−5(−4c+4)<−7c+8−3

Step 1: Simplify both sides of the inequality.

20c−27<−7c+5

Step 2: Add 7c to both sides.

20c−27+7c<−7c+5+7c

27c−27<5

Step 3: Add 27 to both sides.

27c−27+27<5+27

27c<32

Step 4: Divide both sides by 27.

27c/27  <  32/27

c <  32/27

Answer:

20

Step-by-step explanation:

To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.

We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.

(8,1) (1,1)

1 x 1 = 1

8 x 1 = 8

1 - 8 = -7

next coordinate:

(1,1) (2,5)

1 x 2 = 2

1 x 5 = 5

2 - 5 = -3

next:

(2,5) (5,5)

5 x 5 = 25

2 x 5 = 10

25 - 10 = 15

next:

(5,5) (8,1)

5 x 5 = 40

5 x 1 = 5

40 - 5 = 35

-7 - 3 + 15 + 35 = 40

40/2 = 20

Answer:

[tex]\boxed{\mathrm{view \: attachment}}[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Find the number in the middle

First list the number from smallest to greatest

6,8,10,10,12,14,14,16,16,18,18,20,20,22

Find which one is in the middle

16 and 16 are the two middle numbers. There is two middle numbers because there is an even amount of numbers

If there are two middle numbers find the average

Do (X+Y) / 2

16+16 = 32

32 / 2 = 16

16 is the median for your score

Do the same to your friend's score

2,8,8,10,10,10,12,12,12,12,14,14,14,16,16

12 is the middle because there is 7 numbers to the left and right so 12 is the median.

Your score is greater by 4 because 16 - 12 = 4.

Hope this helps

Step-by-step explanation:

Answer: [tex]\frac{c - 0}{b-a}[/tex]

Answer:

16 a^8 = 16aaaaaaaa

Step-by-step explanation:

(4a^4)^2

We know (xy)^z = x^z y^z

4^2 a^4^2

16 a^4^2

We know a^b^c = a^(b*c)

16 a^(4*2)

16 a^8

Answer:

A

Step-by-step explanation:

The Fibonacci sequence is the sum of the two terms before it. It looks like this:

1, 1, 2, 3, 5, 8, 13, 21, 34, ...

As you can see, 13 and 21 are indeed consecutive terms.

Answer:

78

Step-by-step explanation:

Since 13 is a prime, the least common multiple of it and 6 is their product. 6*13=78. Hope this helps!

Answer:

78

Step-by-step explanation:

Least Common Multiple of 6 and 13. Least common multiple (LCM) of 6 and 13 is 78.

6- 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

13- 13, 26, 39, 52, 65, 78

Answer:

18 gray puppies

Step-by-step explanation:

Think of this as finding equivalent fractions/ratios. 3/5 puppies are gray. what over 30 puppies would be gray? to find 3/5=?/30, you multiply the numerator and denominator by 6. 3 times 6 is 18.

Answer:

x=52

Step-by-step explanation:

r=90 s=34  q=180-(90+34)

180-(90+34)=56

to find angle sqr

180-56=124

124=x+72

52=x

Answer:

x = 52

Step-by-step explanation:

→We are given an exterior angle (outside of the triangle) as (x + 72). We are also given two interior angles as 34 and 90. The sum of the two farthest interior angles away from the exterior, is equal to the exterior. So this means that ∠R(90°) + ∠S(34°) = ∠PQS(x + 72), and we can set up the equation like that:

90 + 34 = x + 72

→Add like terms (90 and 34):

124 = x + 72

→Subtract 72 from both sides:

52 = x

Answer:

y=f(x)-2

Step-by-step explanation:

Answer:

5(2x-3)

Step-by-step explanation:

Let the amount of time Emily spends on homework.=x (in hours)

Abbey's Time = 5 hours less than triple the amount of time Emily spends

Therefore:

Nathan's Time = Twice as much time as Abbey.

Next, we calculate the total number of hours the three friends spend on their homework

=Time spent by Emily+Time spent by Abbey+Time spent by Nathan

=x+(3x-5)+2(3x-5)

=x+3x-5+6x-10

Collect like terms

=x+3x+6x-5-10

=10x-15

Next, we simplify by factorizing

Therefore, Total number of hours =5(2x-3)

Answer:

Answer is 7.8 and 7.9

Step-by-step explanation:

Answer:

the answer is B 7.8 to 7.9 have fun

Step-by-step explanation:

Answer:

if you add 1 u get 3

Step-by-step explanation

Answer:

[tex]0.67858[/tex]

Step-by-step explanation:

[tex]\frac{4}{7}+\frac{7}{4}\\\mathrm{For}\:\frac{4}{7}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:4\\\frac{4}{7}=\frac{4\cdot \:4}{7\cdot \:4}=\frac{16}{28}\\\mathrm{For}\:\frac{7}{4}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:7\\\frac{7}{4}=\frac{7\cdot \:7}{4\cdot \:7}=\frac{49}{28}\\=\frac{16}{28}+\frac{49}{28}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{16+49}{28}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:16+49=65\\=\frac{65}{28}\\\mathrm{Decimal:\quad }\:2.32142\\3-2.32142=0.67858[/tex]

Answer:

Set C

Step-by-step explanation:

Answer:

The answer is Set B

Step-by-step explanation:  

Positive linear association goes from left to right and in a straight line. If you put the information into a scatter plot, the line moves in the positive direction and is in a straight line. (In a scatter plot, x goes across the bottom and y is vertical.)

Answer:

Add to 90 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees or a right angle. For example,

52°+38°=90°

Therefore, 52 and 38 are complementary angles.

Answer:

5

Step-by-step explanation:

So you divide 24 by 5 and you get 4.8 so you round it up to 5

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

We want to write in the form

y = mx+b where m is the slope and b is the y intercept

-3x+2y = 8

Add 3x to each side

-3x+3x+2y = 3x+8

2y = 3x+8

Divide each side by 2

2y/2 = 3x/2 + 8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

Answer:

Option (1). 85°

Step-by-step explanation:

From the figure attached,

'l' and 'm' are the parallel lines and line 'n' is a transverse.

Since, m∠9 ≅ m∠13 [These angles are the corresponding angles]

Therefore, m∠13 = 95°

Since, m∠13 + m∠14 = 180° [Supplementary angles]

Therefore, 95° + m∠14 = 180°

m∠14 = 180° - 95°

m∠14 = 85°

Therefore, 85° will be the measure of angle 14.

Option (1) will be the answer.

Answer:

They won 21 games

Step-by-step explanation:

First take the 12 out of 16 games they have won and make it a fraction, 12/16. Then divide 12 by 16, 12 ÷ 16 and then you get, 0.75 then as always multiply it by 100 and get 75 (you can also just move the decimal over 2 places) Then after that you smack that percentage sign on 75 and get %75. So now we know that the Cougars baseball team won %75 of there games. Now take 28 and put it as a fraction, but! You need two numbers for it to be a proper fraction to we will replace the numerator with W to represent how many games they won, so now you should have something like this W/28, so now we find the value of W and by doing that just guess and check (it cant be over 28 so it must be under 28) and when your looking for your number do W ÷ 28 and try to get 0.75 and when you get that (that being 21 ÷ 28 = 0.75 ) you now know that 21 is your answer.

Hope this helps but im in 6th so..... dont quote me on this some of the explanation might not be clear to you but it is to me hope you can figure it out

Answer:

C) S: x = 1

Step-by-step explanation:

Answer:

C) S: x = 1

explination

non stat,does not varyStep-by-step explanation: