Answer:
-8 and 1
Step-by-step explanation:
A point that bisects a segment would be its midpoint. This is a case where the vocabulary (bisect as opposed to midpoint) makes it harder.
To find the midpoint, we use the midpoint formula. The midpoint formula is:
midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.
x: (-2 + 6)/2 = 4/2 = 2
y: (5 +1)/2 = 6/2 = 3
Thus the point B bisecting AC is at (2, 3).
Answer:
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Class 9
>>Maths
>>Quadrilaterals
>>Quadrilaterals and Their Various Types
>>In Fig. 6.43, if PQ PS, PQ∥ SR, SQR = 2
Question
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In Fig. 6.43, if PQ⊥PS,PQ∥SR,∠SQR=28
0
and ∠QRT=65
0
, then find the values of x and y.
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Solution
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Given, PQ⊥PS,PQ∥SR,∠SQR=28
∘
,∠QRT=65
∘
According to the question,
x+∠SQR=∠QRT (Alternate angles as QR is transversal.)
⇒x+28
∘
=65
∘
⇒x=37
∘
Also ∠QSR=x
⇒∠QSR=37
∘
Also ∠QRS+∠QRT=180
∘
(Linear pair)
⇒∠QRS+65
∘
=180
∘
⇒∠QRS=115
∘
Now, ∠P+∠Q+∠R+∠S=360
∘
(Sum of the angles in a quadrilateral.)
⇒90
∘
+65
∘
+115
∘
+∠S=360
∘
⇒270
∘
+y+∠QSR=360
∘
⇒270
∘
+y+37
∘
=360
∘
⇒307
∘
+y=360
∘
⇒y=53
∘
Step-by-step explanation:
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Answer:
I believe (D)
Step-by-step explanation:
-5x + 7 = -13
-7 -7
-5x = -20
-5/-5 -20÷-5
x=4
Hello! I would love to help!
Alright! We know that perimeter is basically adding all the sides of a shape together. We also know that a square has 4 sides, so 38 is the result of 4 sides being added. Now, we also know that all sides of a square are even. So, to find one side of a square, we just need to do 38/4
38/4=9.5
Alright. So now we know one side of a square is 9.5 in. We know that in order to find area, we have to multiply length and width. We know that since all sides of a square are even, 9.5 is both our length and width. So, in order to find the area, we just have to multiply 9.5 by 9.5
9.5*9.5=90.25
Alright! So we have determined your answer!!!
90.25 or in fraction form 90 1/4 inches squared!
Hope this helped! Comment if you have questions!!
