Answer:
Any negative number would be a counterexample.
Step-by-step explanation:
Since negative numbers get smaller as you multiply them by a larger number, this would prove this conjecture false.
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Answer:
c
Step-by-step explanation:
Answer:
times it by 3 on both sides should get 180
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u>
<u>Answer</u><u> </u><u>:</u>
- x + y = 4 ....[Equation (i)]
- x + y = 1......[Equation (ii)]
<u>Adding</u><u> </u><u>eqⁿ (ii) </u><u>and</u><u> eqⁿ (i) we get :</u>
→ x + y + x - y = 4 + 1
→ 2x = 5
→ x = 5/2
→ x = 2.5
<u>Now</u><u>,</u><u> </u><u>put</u><u> </u><u>the</u><u> </u><u>value </u><u>of</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>/</u><u>2</u><u> </u><u>in</u><u> </u><u>eqⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>
→ x + y = 4
→ 5/2 + y = 4
→ y = 4 - 5/2
→ y = 1.5
