7TH GRADE MATH. PLS HELP

Mathematics

1 answer:

Elza [17]2 years ago

6 0

Answer:

192 squared centimeters

Step-by-step explanation:

area equal to 1/2 * base * perpendicular height

1/2*24*16

=192 squared centimeters

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What is 481,026.03 in expanded form using powers of ten.

Ivan

When putting 481,026.03 into expanded form, the answer is 4.8102603 × 10^5, or using a calculator, 4.8102603e5.

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Nate

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2 years ago

Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some informat

Ede4ka [16]

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.

Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .