If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.​

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

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Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Answer:

5) y=13x+10

6)

A. The subtraction property of equality says if we subtract one side of the equation, we do the same for the other side.

B. The addition inverse property is what you add to a number to create the sum of 0.

C. Like the subtraction property of equality, the division property says when you divide one side, you must divide the other side.

Step-by-step explanation:

Explained in answer :D hope it made sense

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

Answer:

the frist one

Step-by-step explanation:

hope it helps

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

Learn more about LCM here :

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Answer:lol

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

sorry if im wrong

Proportion of corresponding side is FH/JH  = HG/HK  = FG/JK.

Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

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[tex]\huge{\underline{\underline{\boxed{\sf{\purple{ǫᴜᴇsᴛɪᴏɴ}}}}}}[/tex]

[tex]\huge{\underline{\underline{\boxed{\sf{\ref{Answer}}}}}}[/tex]

[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]

∴Hence, at standard it is 13.00-4 =99.00 STD talk

off reached at Manila +8 Zone at 20.00

∴Hence at standard & 2000 -8

reached.⇒ 12.00 STD

(i) Time at Manila, whicle Plane de parts

12-3+8 ⇒9+8 → 17.00

(ii) duration = 3 hours.

(iii) in dubai 13.00 + 3 = 16,00

_____________________

Ans

i)17.0.0 (ii) 3 hours (iii) 16.00

________________________

♕ hence we done:) xD

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

Answer:

A

Step-by-step explanation:

81 - 1 1/5x [tex]\leq[/tex] 55

Subtract 81 from  both sides

- 1 1/5x [tex]\leq[/tex] -26

Turn - 1 1/5 into the improper fraction -6/5

-6/5x [tex]\leq[/tex] -26

Divide by sides by -6/5 by multiplying by the reciprocal. This also changes the direction of the sign.

x [tex]\geq[/tex] 65/3

x [tex]\geq[/tex] 21 2/3

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Answer:

57 Students........................

The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)

If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].

Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/555469

Answer:

First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal

Step-by-step explanation:

Also sorry if it's wrong but I tried also hope u have a great day!

Answer: A $1,332.73

Step-by-step explanation:

The monthly payment if you put 3. 5% down is a. $1,332. 73.

Down payment=218,500 - (218.500×3.5%)

Down payment=218.500-7,647.5

Down payment=210,852.50

Time = 12×30=360 months

rate=6.5/1,200 = 0.005416667

Using the loan payment formula

Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal

Let plug in the formula

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal

Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50

Monthly payment = 0.0063206805× 210,852.50

Monthly payment = 1,332.73

Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.

Learn more about monthly payment here:https://brainly.com/question/25658911

Answer a+ 4 - a-7 a-7 _5 = 37_6

Step-by-step explanation:

Answer:

a=-7

Step-by-step explanation:

Find least common multiplier

LCM=105

Multiply to function

a+4/3 *105- a/7= 105* a+7/5

Simplify

35(a+4)-15x=21(a+7)

Expand

20a+140=21a+147

Subtract 140 from both sides

20a=21a+7

Subtract 21a from both sides

-a=7

Divide both sides by -1

-a/-1=7/-1

a=-7

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

Answer:

A: 97/30x + 23

Answer:

Give the person above me brainliest

Step-by-step explanation:

Answer:

suma is 229,997

Step-by-step explanation:

229,997

Answer:

1. Ounces

2. 62 miles per hour

Step-by-step explanation:

1. 12 OUNCES and 36 OUNCES

2. 496/8 = 62 (check 62x8 = 496)