Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,
So, the height of Mrs. Marigold's roof is 10 feet.
Problem 1
<h3>Answer: choice B) They are supplementary angles</h3>
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Explanation:
The two angles combine to form a straight angle (which is 180 degrees). Another term for these angles is "linear pair" since they form a straight line.
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Problem 2
<h3>Answer: choice B) x = 7</h3>
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Explanation:
The diagonal is never used in this problem. For any rhombus, the four exterior sides are always the same length.
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Problem 3
<h3>Answer: Choice D) 62 degrees</h3>
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Explanation:
We use the angle addition postulate. This allows us to combine angles BAC and CAD to form angle BAD.
(angle BAC)+(angle CAD) = angle BAD
30 + x = 92
x = 92-30
x = 62
angle CAD = 62
One way to solve the system is to <u>substitute</u> a variable.
<u>Explanation:</u>
One approach to solve an equation is by substitution of one variable. Right now, a condition for one factor, at that point substitute that arrangement in the other condition, and explain. All value(s) of the variable(s) that fulfills a condition, disparity, arrangement of conditions, or arrangement of imbalances.
The technique for tackling "by substitution" works by settling one of the conditions (you pick which one) for one of the factors (you pick which one), and afterward stopping this go into the other condition, "subbing" for the picked variable and fathoming for the other. At that point you back-explain for the principal variable.
Answer:
B
Step-by-step explanation:
Because the number of degrees in a triangle is 180 degrees so x = 180 - (45 + 60) = 75. Now w + 75 = 180 , therfore w = 105 degrees.
