Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3​

Answer:

38) Angle 2 = 32°; angle 1 = 32°; angle 3 = 110°

39) Angle 3 = 81°; Angle 2 = 28°; angle 1 = 71°

Step-by-step explanation:

38) angle 2 = 180 - (110 + 38)

This is because sum of angles in a triangle is equal to 180°. Thus;

Angle 2 = 32°

Angle 1 = 38° due to the postulate that alternate interior angles are equal

Angle 3 = 110° due to corresponding angles postulate

39) Angle 3 = 81° due to the postulate that alternate interior angles are equal

Angle 2 = 28° due to the postulate that alternate interior angles are equal

Angle 1 = 180 - (81 + 28) = 71° due to the fact that angles in a triangle sum up to 180°

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Answer:

kite

Step-by-step explanation:

it be kite

Answer:

365

Step-by-step explanation:

200-123+289-2/2

77+289−2/2

366−2/2

366−1

= 365

Answer: $200

Step-by-step explanation:

Since there is a deductible here, you deduct it from the total bill first:

= 2,000 - 1,000

= $1,000

With an 80/20% coinsurance plan, you will pay for 20% of this bill and your insurance company will pay 80%.

You will therefore pay:

= 1,000 * 20%

= $200

Answer:

What snacks can they buy? if Susan and James don't know that they must be slow, might as well not even buy snacks if they can't figure that out.

Step-by-step explanation:

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

Here, we want to set up equations

There are 29 problems, so adding up the number of individual problem types will give 29

x + y = 29 ••••••(i)

Let us work with points now;

x is worth 5 points, y is worth 2 points

Thus, mathematically;

5x + 2y = 100 ••••••••••(ii)

Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points

Answer:

I'm doing this project rn I'll help you as soon as I'm done! Did you do the other sections already?

Step-by-step explanation:

Answer:

i think it is the one you c

Step-by-step explanation:

Answer: 3y=12−2x 3 y = 12 - 2 x

Step-by-step explanation:

Answer:

Let

2x+y=-4——(1)

-3y=2x+12

2x+3y=-12—-(2)

Deduct eqt 1 from 2

(2x+3y=-12)

-(2x+y=-4)

2y=-8

y=-4

Put y=-4 into eqt 1

2x-4=-8

2x=-8+4

2x=-4

Divide both sides by 2

x=-2

:. x,y= -2,-4

Step-by-step explanation:

Answer:

Ac=14 is you answer i think

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Here you go mate

Step 1

X+4²=2  Equation

Step 2

X+4²=2  4x4

x+4^2=2

Step 3

x+4^2=2  subtract 4^2

answer

x=-14

hope this helps

Answer:

x=4

Step-by-step explanation:

Answer: I'm pretty sure it would be no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

y_<_2x

4_<_2(3)

4_<_6

true

y > x + 4

4 > 3 + 4

4 > 7

false

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

Equation: 869x + 17,575

2x + 5 = 13

2x = 13 - 5

2x = 8

*divide both sides by 2*

x = 4

Answer:

118

Step-by-step explanation:

15(8)-2

120-2

118

Brainly plss?

Answer:

118

Step-by-step explanation:

you do 15 x 8 then subtract 2 from the product

Answer:

C or D...

im guessing

Answer:

√32=√(16*2)=4√2  

4√2 + √2=5√2

That is why is irrational

Step-by-step explanation:

Answer:

I think 11 dollars but I don't know how many cents close to another dollar though so it would be somewhere around 11-12$

Answer:

n<50

Step-by-step explanation:

7/2*5n + 14<49

7n/2*5+14<49

(7n)+(2*5)14/2*5 <49

7n+10*14/2*5 <49

7n+140/2*5 <49

7n+140/10 <49

7n+140 < 10*49

7n+140 < 490

(7n+140)+(-140)<490+(-140)

7n+140-140<490-140

7n<350

7n/7 < 350/7

n<2*5^2*7/7

n<2*5^2

n<2*25

n<50

Answer:

f = 132 degrees

Step-by-step explanation:

The total angle measure of this is 360 degrees. We know 2 of the angles, so subtract them from 360 to get 198. The sum of f and g must equal 198 degrees. Since we know that f = 2g, we can divide 198 by 3 to get 66. So, we know g = 66. To find f, multiply 66 by two to get 132. So, g = 66 and f = 132

Answer:

12/45 = 0.26666666

0.26666666 X 100 = 26.6666666

27%

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

Answer:

it moves 2 to the right

Answer:

They are the same line.

Step-by-step explanation:

y = -1/3x - 2

-x - 3y = 6

First, we need both lines to follow the equation of y = mx + b so that we can graph them. We already have one equation in that form (the one from the graph given), so we can ignore that for now.

Next, we need to solve -x - 3y = 6. Let's first move the x to the other side of the equal sign.

-3y = x + 6

Now, since we have a similar equation to what we need, we just need to divide the y by the given number in front (or -3). But that also means that we must divide the other side by the same amount (or each variable).

-3y = x + 6. -> y = -1/3x - 2

So, your final equation for -x - 3y = 6 should be;

y = -1/3x -2

Bringing down the other equation, we get:

y = -1/3x - 2 and y = -1/3x - 2

Making both equal to each other (they cancel each other out).

Hope this helps!

(And sorry that this is a long explanation)