1) <span>D. (TRANSITIVE PROPERTY OF CONGRUENCY
2) </span><span>C. (LINEAR PAIR THEOREM)
3) </span><span>(D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.
4) </span><span>C. (CONGRUENT SUPPLEMENTS THEOREM</span>
1. You have the following equations:
<span>
y=−2x+5 (i)
3x−4y=2 (ii)
2. You must substitute the equation (i) into the equation (ii), as below:
</span>3x−4y=2
3x-4(−2x+5)=2
3x+8x-20=2
11x-20=2
3. Now, you must clear the variable "x":
11x=2+20
x=22/11
x=2
4. You have the value of "x", so you can find the value of "y". When you substitute x=2 into the equation (i), you obtain:
y=−2x+5
y=-2(2)+5
y=-4+5
y=1
5. Therefore, the answer is:
x=2
y=1
Answer:
If ABC and DEF are similar triangles such that ∠A = 47° and ∠E = 63°, then the measures of ∠C = 70°. Is it true? Give reason. ∴ Given statement is true. Question 3. Let ∆ABC ~ ∆DEF and their areas be respectively 64 cm 2 and 121 cm 2. If EF = 15.4 cm, find BC. Question 4. ABC is an isosceles triangle right-angled at C. Prove that AB 2 = 2AC 2.
Step-by-step explanation:
The sum of angle AOB and angle BOC is equal tot he angle of AOC so
6x+5 +4x-2 = 8x+21
10x+3=8x+21
Subtract three and 8x from both sides
2x=18
Divide by two
x=9
Hope this helped!
