Hello!
Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:
x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees
I hope this helps :))
Answer:
i would say C
Step-by-step explanation:
Answer:
JK=7
Step-by-step explanation:
From the line segment, since J is on it ,it means the line segment is
represented as I J K
from this illustration, we can say that the longest part of the line segment is from I to K
this means that, IJ +JK =IK
making JK the subject,
JK= IK - IJ
but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5
substituting them in the expression,
2x-1 =3x+2 -(3x-5)
solving for x
2x-1 =3x+2-3x+5
2x-1 =0+7
2x-1 =7
2x=1+7
2x=8
dividing through by 2
2x/2 =8/2
x=4
but the question says we should find the numerical value for JK
but from the line segment,
JK=2x-1
but now we know the value of x to be 2
so substituting it in the formula
JK= 2(4)-1
JK=8-1
JK=7
therefore, the numerical value for JK is 7
Answer:
Step-by-step explanation:
Values less than 5 on a die are 1, 2, 3, 4 ← 4 values out of a possible 6
P( < 5) = 
= in simplest form
Answer:The GCF of 14 and 35 is 7. To identify the GCF of 14 and 35, we first need to list all of their factors: 14: 1, 2, 7, 14. 35: 1, 5, 7, 35.
