Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
A
C
D
You can find the answers by dividing
Answer:
50
Step-by-step explanation:
42+123=165
165+50=215
215+145=360
Length of the outer frame: 4+2x
width of the outer frame: 3+2x
area of the outframe: (4+2x)(3+2x)=15
expand the equation: 12+8x+6x+12x^2=15
combine like terms: 4x^2+14x-3=0
Answer:
The first and third options are valid.
Step-by-step explanation:
If two of the three sides of a right triangle are 5 inches and 4 inches, then we have to select the equation from options that can be used to find the unknown length b, in the triangle.
The first equation 4² + b² = 5² can be the possible equation.
The second equation 4² - b² = 5², ⇒ 4² = b² + 5² can not be the equation as 4 being the hypotenuse should be the largest side but 4 < 5.
The third equation 5² + 4² = b² can be the possible equation.
The fourth equation 5² + b² = 4² is similar to the second equation. So, it is not possible.
Therefore, the first and third options are valid. (Answer)
