Answer:
1) (c)∠ G = 34°
2) (a) x = 33°
3) (d) The perpendicular segments are JM, KL, PQ AND NR.
Step-by-step explanation:
Here in the given questions:
1) p II r
⇒ ∠ G = 34° (ALTERNATE EXTERIOR ANGLES)
Hence, the measure of ∠ G = 34°
2) In the given triangle:
The measure of exterior angle is always the sum of interior opposite angles.
⇒ Here, x + 72° = 105°
or, x = 105° - 72° = 33° , or x = 33°
3) The given plane in the cube is JKPN
The segments which have J , K , P and N as their one vertex are perpendicular to the given plane.
Hence, the segments are JM, KL, PQ AND NR.
To solve your question, you add all of the measurements together, set them equal to 180, solve for x, and plug x back in for whichever angle they are asking for; in this case, they want angle R
7x + 12x + 20 + 20x - 35 = 180
39x - 15 = 180
39x = 180 + 15
39x = 195
x = 5
Angle R = 12x + 20
12(5) + 20
60 + 20
80
Option C is your answer.
A linear inequality to represent the algebraic expression is given as 492.46 - x ≥ 500
<h3>Linear Inequality</h3>
Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.
In this problem, her minimum balance must not decrease beyond $500 or she will pay a fee.
where
The inequality to represent this can be written as
524.96 - 32.50 - x ≥ 500
Simplifying this;
492.46 - x ≥ 500
The linear inequality is 492.46 - x ≥ 500
Learn more on linear inequality here;
brainly.com/question/23093488
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Dave arrived to his grandmother's hours in7.75 hours.
Answer:
You need to say how many cans go by a minute to be able to answer this question.
Step-by-step explanation: