Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
<u>1st blank</u>
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
<u>2nd blank</u>
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
<u>3rd blank</u>
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
Answer:
∠ R = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ R + ∠ S + ∠ T = 180° , substitute values
∠ R + 29° + 61° = 180°
∠ R + 90° = 180° ( subtract 90° from both sides )
∠ R = 90°
The answer is A. 8/243
There are in total 18 objects:
6 nuts + 8 bolts + 4 screws = 18 objects
The probability of choosing a nut is: 6/18 (since there are 6 nuts of total 18 objects).
The probability of choosing a bolt is: 8/18 (since there are 6 bolts of total 18 objects).
The probability of choosing a screw is: 4/18 (since there are 4 screws of total 18 objects).
Because replacement occurs each time, there are always 18 objects. Also, since selecting a nut, a bolt, and a screw occurs together, we will use the multiplication rule and multiply the probabilities of events occurring together:
Answer:
C) y > (x +6)(x -18)
Step-by-step explanation:
The curve crosses the x-axis at x=-6 and x=+18. The factor corresponding to x-intercept x=p is (x -p). This means the factors of the quadratic are ...
(x -(-6))(x -18)
= (x +6)(x -18) . . . . . matches choices A, C
The boundary line is dashed, and shading is above it, so the relation with y is ...
y > ... . . . . . . . matches choices B, C
The only answer choice that meets all of the requirements is ...
C) y > (x +6)(x -18)
The answer for this question is:{(2, 35), (3, 36), (4, 29), (5, 51), (6, 41), (7, 26)} Domain: {'02, '03, '04, '05, '06, '07}Range: {26, 29, 35, 36, 41, 51}which is the last one.The domain is the years Andrew Jones played (02 – 07) and the range is the number of home run hits (26 – 51)