Bernard is helping his mom carry groceries. The bag he is carrying has everything they need to make spaghetti for dinner tonight
1 answer:
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Answer:
The X and Y intercepts to the equation -3x - 7y = 84 is
x-intercept (s): (−28,0)
y-intercept (s): (0,−12)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
−3x−7⋅0=84
Solve the equation.
x=−28
x-intercept(s) in point form.
x-intercept (s): (−28,0)
To find the y-intercept(s), substitute in 0 for x and solve for y .
−3⋅0−7y=84
Solve the equation.
y=−12
y-intercept(s) in point form.
y-intercept (s): (0,−12)
Hope this helps.
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠1 and ∠2 are supplementary Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. m∠2 = m∠3 Subtraction Property of Equality
5. ∠2 ≅ ∠3 Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.