9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
<h3>(a) </h3>
The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
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<h3>(b) </h3>
∠CBA = (3x -20)° = (3·22 -20)° = 46°
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<h3>(c)</h3>
∠CAB = 2x° = 2(22)° = 44°
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<h3>(d)</h3>
The sum of a triangle's interior angles is 180°.
Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3 + 4x = 2y - 9 into this form
add 9 to both sides
12 + 4x = 2y ( divide all terms by 2 )
6 + 2x = y ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (4, - 4) into the partial equation
- 4 =8 + c ⇒ c = - 4 - 8 = - 12
y = 2x - 12 ← equation of parallel line
Slope is negative for each...Remember Y-int and rise/run for slope.
Y=mx+b
Y= -2/3X - 2
Y= -5/2x + 2
Answer:
What is the objective to answer the question? Is it how much they will get?
