Answer:
3.2 units
Step-by-step explanation:
Use the law of sines
z/sin 76 = 2.6/sin 51
z = 2.6 sin 76/sin 51 = 3.2
9514 1404 393
Answer:
(a) (-2, 4)
Step-by-step explanation:
The orthocenter is the point of concurrence of the altitudes of the triangle.
A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.
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Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:
a (-2, 4)
Answer:
Part 1) The perimeter is 
Part 2) The diagonal is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to


so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A

Find the value of b

step 2
Find the perimeter of rectangle
The perimeter is given by

substitute

step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem

substitute



Answer:
x = -5.25 or 21/4
Step-by-step explanation:
When break the bracket out, if there is a minus sign in front of the bracket, when we break it out, the sign inside the bracket would become positive:
67 = 18 - (8x - 7)
67 = 18 - 8x - (-7)
67 = 18 - 8x + 7
67 = 18 + 7 - 8x
67 = 25 - 8x or rewrite for easier look: 25 - 8x = 67
25 - 8x = 67
8x = 25 - 67
8x = -42
Divide both side by 8, we got:
x = -42 / 8
x = -5.25 or 21/4
Hope this helped :3