Answer:
y = 3x + 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 )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 15) into the partial equation
15 = 3 + c ⇒ c = 15 - 3 = 12
y = 3x + 12 ← equation of line AB
Answer:
20.3 cm. to the nearest tenth.
Step-by-step explanation:
Using the Pythagoras Theorem:
CR^2 = CS^2 + SR^2
= 6^2 + 13^2
= 205
CR = √205 cm.
UR = CR (because they are both radii of the circle).
So UR = √205
and SU =6 + √205
= 20.3 cm to the nearest tenth.
Simplify the numerator and denominator first:
5/8 + 3/4 = 11/8
-2/3 - 5/6 = -3/2
Now you have 11/8 / -3/2
When dividing two fractions change division to multiplication and flip the second fraction over:
11/8 x -2/3 = 11 x -2 / 8 x 3 = -22/24
-22/24 reduces to -11/12
The answer is -11/12
Answer: Wait Huh? Please Dm Me or Respond So i Can Help, I Promise (If i Can)
Step-by-step explanation:
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU