Answer:
6
Step-by-step explanation:
You didn't ask a question. That's just a statement.
Whenever <u>two</u> or <u>more</u> lines <em>intersect </em>at a point, an <em>angle</em> is usually produced. And some of these angles formed may have <u>common </u>properties, and thus be <em>congruent</em>.
The appropriate reasons for the given <u>statements</u> in the question are given below:
STATEMENT REASON
1. <1 ≅ <2 <u>Vertical</u> <em>Angle</em> theorem
2. <1 and <2 are complementary
<2 and <3 are complementary <em>Congruent Complements</em> Theorem
3. <1 and <2 are supplementary
<2 and <3 are supplementary <u>Congruent</u> Supplements
4. <1 and <2 are right angles All<em> Right Angles</em> are Congruent
5. <1 ≅ <2,
<1 and <2 are supplementary If two angles are <u>congruent</u> and
<u>supplementary</u>, then each angle is
a <em>right angle</em>.
For more clarifications on the properties of complementary and supplementary angles, visit: brainly.com/question/14941189
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Answer:
w = 2
Step-by-step explanation:
Step 1: Write equation
1.3(w + 4) = 2.1w + 3.6
Step 2: Solve for <em>w</em>
- Distribute 1.3: 1.3w + 5.2 = 2.1w + 3.6
- Subtract 1.3w on both sides: 5.2 = 0.8w + 3.6
- Subtract 3.6 on both sides: 1.6 = 0.8w
- Divide both sides by 0.8: 2 = w
- Rewrite: w = 2
Step 3: Check
<em>Plug in w to verify it's a solution.</em>
1.3(2 + 4) = 2.1(2) + 3.6
1.3(6) = 4.2 + 3.6
7.8 = 7.8