Answer:
The two graphs are perpendicular
Step-by-step explanation:
The slope of the first one is the reciprocal of the second. Also I graphed it.
Answer:
∠EFG=(3× 11.2+17)º = 50.6°
∠LMN= (12×11.2−5)º = 129.4°
Step-by-step explanation:
We know that if two angles are supplementary two each other sum of these two angles is equal to 180°.
It is given that ∠EFG and ∠LMN are supplementary angles.
Therefore, ∠EFG +∠LMN = 180°
Given that: ∠EFG=(3x+17)º and ∠LMN=(12x−5)º
⇒ (3x+17)º + (12x−5)º =180°
⇒ (15x+12)° = 180°
⇒15x = 168°
⇒ x = 168°/15
x = 11.2°
Then, ∠EFG=(3× 11.2+17)º = 50.6°
Also, ∠LMN= (12×11.2−5)º = 129.4°
Answer:
0.42
Step-by-step explanation:
→ Use Pythagoras to find YZ
√2.5² - 0.7² = 2.4
→ Half the answer to find YW
2.4 ÷ 2 = 1.2
→ Substitute the values into the formula for the area of a triangle
0.5 × 0.7 × 1.2 = 0.42
I believe it is b, you have to use the distributive property to get an equivalent expression.
Finding x for
5x + 4x + 45 = 180
1st step is to combine alike terms
9x + 45 = 180
Now subtract 45 from both sides
9x = 135
Now divide by 9
x = 15