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olganol [36]
3 years ago
8

Triangle LMN is congruent to triangle HIJ. Angle L measures 35° angle M measures 65° and angle H measures x degrees. Find the va

lue of x.
Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0
We know that triangle LMN is congruent to triangle HJL so that ==> angle H measures = angle L measures
so that H=L=35 degree
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Solve algebraically and graphically 6/x+8/x+5=3
Readme [11.4K]

Answer:

\Large \boxed{x=-7}

Step-by-step explanation:

6/x+8/x+5=3

Subtracting 5 from both sides.

6/x+8/x=-2

Adding fractions since denominators are equal.

14/x=-2

Multiplying x on both sides.

14=-2x

Dividing both sides by -2.

-7=x

5 0
3 years ago
Read 2 more answers
Triangle ABC has vertices A(0,0) B(6,8) and C(8,4). Which equation represents the perpendicular bisected of BC?
AveGali [126]

Answer:

y = \frac{1}{2}x+\frac{5}{2}

Step-by-step explanation:

The perpendicular bisector of a line passes through the mid-point of the line and the product of slopes of the line and perpendicular bisector will be -1.

So,

Mid-point\ of\ BC = (\frac{6+8}{2},  \frac{8+4}{2})\\= (\frac{14}{2},  \frac{12}{2})\\= (7,6)

The line will pass through (7,6)

Now,

Slope\ of\ BC = m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{4-8}{8-6}\\= \frac{-4}{2}\\= -2

Let

m_2 be the slope of perpendicular bisector

So,

m_1*m_2 = -1

-2 * m_2 = -1

m_2 = -1/-2 = 1/2

The standard equation of line is:

y=mx+b

Where m is slope

So putting the value of slope and point to find the value of b

6 = \frac{1}{2}*7 +b\\ 6 = \frac{7}{2} + b\\b = 6 - \frac{7}{2}\\ b = \frac{12-7}{2}\\b = \frac{5}{2}\\So,\ the\ equation\ of\ perpendcular\ bisector\ of\ BC\ is:\\y = \frac{1}{2}x+\frac{5}{2}

..

7 0
3 years ago
What is the meaning of the point with an x-coordinate of 3.
Amiraneli [1.4K]

Answer:

it takes the commuter train 60 seconds to go 3 feet

3 0
3 years ago
Solve 3/8=x/20<br><br> whats x??
azamat
3/8=x/20
Multiply both sides by 20.
20(3/8) = 60/8 = 15/2 = 7.5
7.5 = x
4 0
3 years ago
Round 533,736 to the nearest thousand
tresset_1 [31]
The thousand if this number is 533,736.
So we need to round by that place. 
The answer is 534,000 because since the 7 is greater than 5, we need to round up. 

3 0
4 years ago
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