Answer:
x ≈ 49.7°
Step-by-step explanation:
Since, the given triangle is an isosceles triangle,
Two sides having measure 17 units are equal.
Opposite angles of these equal sides will be equal.
Measure of the third angle = 180° - (x + x)°
By sine rule,
[Since, sin(180 - θ) = sinθ]
cos(x) =
x = 49.68°
x ≈ 49.7°
9514 1404 393
Answer:
PJ ⊥ KP
Step-by-step explanation:
The little square corner at point P is the mark that indicates lines are perpendicular.
That is the only on mark indicating perpendicular in this diagram. It shows line KI to be perpendicular to line MJ. Then all of the segments on one of those lines are perpendicular to any of the segments on the other of those two lines.
Just to make sure we don't get in trouble with interpretation, we should probably include point P in any segments we list.
MJ ⊥ KI
OJ ⊥ KI
MP ⊥ KI
OP ⊥ KI
PJ ⊥ KI
In any of the above, KI can be replaced by KP or PI and the statement will remain true.
_____
<em>Additional comment</em>
Segment NI, being parallel to OP, is also perpendicular to KI. However, it is not marked as such.
MO is perpendicular to PI, but isn't really marked as such.
Answer:
$50
Step-by-step explanation:
When finding sales price you multiply. But here we are finding the original price. So now you do the opposite, divison.
20/.4 = 50
The value of x is 3. The correct option is the third option- 3
The width of the backyard is 9 yards. The correct option is the first option- 9 yards
<h3>Perimeter of a Rectangle </h3>
From the question, we are to determine the value of x
13.
Perimeter of a rectangle = 2 (l + w)
Where l is the length
and w is the width
From the given information,
Perimeter = 24 cm
In the given diagram,
l = 3x cm
w = 3 cm
Thus,
24 = 2(3x + 3)
24 = 6x + 6
6x = 24 - 6
6x = 18
x = 18/6
x = 3
Hence, the value of x is 3. The correct option is the third option- 3
14.
From the given information,
The width of the yard is 3 less than 4 times the length
That is,
w = 4l - 3 --------- (1)
Also,
Perimeter = 24 yards
∴ 24 = 2(l + w) ---------- (2)
Put equation (1) into (2)
24 = 2(l + w)
24 = 2(l + 4l - 3)
24 = 2(5l - 3)
24 = 10l - 6
10l = 24 + 6
10l = 30
l = 30/10
l = 3 yards
Substitute the value of l into equation (1) to get w
w = 4l - 3
w = 4(3) - 3
w = 12 - 3
w = 9 yards
Hence, the width of the backyard is 9 yards. The correct option is the first option- 9 yards
Learn more on Perimeter of a rectangle here: brainly.com/question/24571594
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