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Mkey [24]
2 years ago
7

What is the missing proof ?

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

Answer:

Alternate interior angles theorem

Hope this helps

- Que

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Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
lions [1.4K]

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}

(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill

\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}

6 0
1 year ago
There are 340 freshman at BHSS. This is one hundred less than two times the number of sophomores. Find the number of sophomores
natta225 [31]
To put it into an equation, it would be:

340 = 2x - 100

with x being the amount of sophomores at BHSS.

Solve it:

340 + 100 = 2x

2x = 440

x = 220

The number of sophomores at BHSS is 220.




5 0
3 years ago
A stadium has 47000 seats seats sell for $35 in section a $30 in section B and 25 in section c the number of seats in section A
Rainbow [258]

Answer: a section holds 11,750 seats

$1,483,500 from one sold out event

47,000 seats in total, 3 sections (A = B + C)

A = B*2, C*2

47,000 / 4 = 11,750

4 0
3 years ago
Someone plz help!!!!!! ​
aliina [53]

Answer: X = 7√2

Step-by-step explanation:

Let first Consider triangle BDC,

Cos C = adjacent/ hypothenus

Cos C = 7 / x ...... (1)

Also, let consider triangle ABC

Cos C = adjacent / hypothenus

Cos C = x / 14 ....... (2)

Since angle C is the same, equate equation 1 to 2

7/ x = x / 14

Cross multiply

X^2 = 98

Make x the subject of formula

X = sqrt (98)

X = sqrt ( 49 × 2 )

X = sqrt (49) × sqrt (2)

X = 7 sqrt(2)

X = 7√2

8 0
2 years ago
3a2+4b for a=2 and b=3
Kobotan [32]
First you’ll multiply to get 3x2x2 + 4x3. Then add them together. 12+12=24
4 0
3 years ago
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