3.82e+7 in standard form shown in calculator display

Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

Statements                                                                 Reasons

 1. AD ≅ BC; AD ∥ BC                                                1. provided

 2. ∠CAD and ∠ACB are alternate interior angles        2. definition of alternate interior angles

3. ∠CAD ≅ ∠ACB                                                    3. congruence of alternate interior angles

4. AC ≅ AC                                                              4. reflexive property

 5. △CAD ≅ △ACB                                                  5. SAS congruency theorem

6. AB ≅ CD                                                            6. Congruent triangles have congruent corresponding parts (CPCTC)

7. ABCD is a parallelogram                                  7. theorem for sides of parallelograms

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Answer:

Kindly present the graph.

Step-by-step explanation:

Answer:

The top surface area of the washer equals 160.14 square millimeters.

Step-by-step Explanation:

The washer's top surface forms an annulus, characterized by an outer radius of 10 mm and an inner radius of 7 mm (obtained since the hole's diameter is 14 mm and the radius is half the diameter).

Recall the formula for the area of an annulus:

where R is the outer radius and r the inner radius.

Substituting the given values:

Thus, the calculation yields:

Answer:

The measurement of angle HBC is m∠HBC=61°

Step-by-step explanation:

The given problem states that

The line BH divides angle EBC into two equal parts,

consult the attached diagram for clarity

thus

m∠EBC=m∠EBH+m∠HBC

where m∠EBH=m∠HBC

therefore

m∠EBC=2(m∠EBH)

Insert the provided values to solve for a

Determine the value of angle EBH

m∠EBH=(4(4)+45)=61°

Keep in mind that

m∠EBH=m∠HBC

therefore

The measurement of angle HBC is m∠HBC=61°

To solve simple equations like this, it's essential to apply the order of operations defined by PEMDAS. This acronym represents the sequential operations needed for solving equations.
PEMDAS indicates Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
According to PEMDAS, multiplication takes precedence over addition, leading us to:
5 + [1*10] = 5 + 10 = 15.