Answer:
-35
Step-by-step explanation:
- 4ac = (1)(1) - 4(-3)(3) = 1 - 36 = -35
In the figure R is between Q and S and S is between R and T . If RT = 15 , RS = 7 , and QT = 18 , find QS
1 answer:
The measure of QS from the given line is 10
<h3>Addition postulate</h3>From the given diagram below, we will use the following addition postulate;
QR + RS + ST =QT
Given the following parameters
RT = 15
RS = 7 , and
QT = 18
Substitute
QR + RT =QT
QR + 15 = 18
QR = 18 - 15
QR =3
Determine QS
QS = QR + RS
QS = 3 + 7
QS = 10
Hence the measure of QS from the given line is 10
Learn more on addition postulate here: brainly.com/question/2134445
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Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°
Hope this helps!! :)
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