Answer:
ACD
Step-by-step explanation:
All statements are correct for two congruent trianglesStep-by-step explanation:If two triangles are congruent than the rules states thatTriangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.As the fig shows two triangleΔ PQRΔ LMNAll three corresponding sides of triangle are congruentall three corresponding angles are congruentBoth triangle are of same sizeBoth are of same shapehence all the statements are CORRECT Keywords:Geometry
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 3 to x and -4
Answer:
The width of rectangle is cm and length is cm.
Step-by-step explanation:
Let,
Width of rectangle = w
Length of rectangle =
Perimeter of rectangle = cm
Perimeter = 2(Length + Width)
Dividing both sides by 4
Width of rectangle =
The width of rectangle is cm and length is cm.
Keywords: rectangle, perimeter
Answer:
200
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
-5(10)(-4)
<u>Step 2: Evaluate</u>
- Multiply: -5(10)(-4) = -50(-4)
- Multiply: -5(10)(-4) = 200
<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)
tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)
Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)
(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>