Answer:
x = 53 degree
Step-by-step explanation:
53 degree angle = x angle( alternate exterior angle)
Therfore, x = 53 degree
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Answer:
I will do it but what is the GCF of part B
Step-by-step explanation:
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer:
1 inch = 82 miles
Step-by-step explanation:
You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:
14 in : 1148 mi
= (14 in)/14 : (1148 mi)/14
= 1 in : 82 mi
Answer:
Total area of the two rooms = (width1length1) + (width2length2)
Step-by-step explanation:
The area of the rectangular shape is given by = Length * breadth
Therefore the area of the two rooms can be calculated using the above formula when the variables lengths and widths are given.
Area 1= Area of the first room = length * breadth= (width1length1)
Area 2=Area of the second room = length * breadth= (width2length2)
Total area of the two rooms = Area1 + Area 2
= (width1length1) + (width2length2)
