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3 years ago

. If Triangle ABC is equilateral, solve for X... * 7 (8x - 44)

Mathematics

2 answers:

Tasya [4]3 years ago

5 0

If triangle ABC is equilateral,solve for X56x-308

ki77a [65]3 years ago

5 0

Answer:

x=13

Step-by-step explanation: (8x-44)+(8x-44)+(8x-44)=180

24x-132=180

24x=312

312/24

x=13

Showing Proof

8(13)-44=60

60+60+60=180

Therefore the answer is x=13

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What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1

zaharov [31]

$\log_4(\log_42x)=1$

Take both sides as powers of 4:

$4^{\log_4(\log_42x)}=4^1\implies\log_42x=4$

Do it again:

$4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128$

3 0

2 years ago

Build a fence around his rectangular garden. The length is 30 feet. The width is 6 yards. How many feet of fencing is needed

nadya68 [22]

The field that is being fenced in has two 30 foot sides and 2 18 foot sides. The reason they are 18 is because there are 3 feet in a yard. You would then add all 4 sides together, equaling your perimeter.

The final answer is 96 sq feet.

4 0

2 years ago

Solve the equation 18y – 17 = 7 for y. A. 1/2 B. 3/4 C. 4/3 D. 4/5

Ivan

the answer is C. 4/3

3 0

2 years ago

Read 2 more answers

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

2 years ago

A bicycle manufacturing plant is producing the first few frames for their new electric bicycle design. The first batch of 60 fra

Dmitry_Shevchenko [17]

Answer:

a) 131/450

b) 1233/1276

Step-by-step explanation:

P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)

p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)

= 43/180

And that of P(good )

= 1 - 43/180

= 137/180

P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)

= (43/180)*(9/10) + (137/180)*(1/10)

= 131/450

P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)

= (137/180)*(1 - 1/10) / (1 - 131/450)

= 1233/1276

5 0

2 years ago