This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya, tutasuluhisha maswali uliyotuma. Swali la 1: Tafuta thamani ya pembe W Step 1: Tambua pembe mbadala za ndani (alternate interior angles). Kwa kuwa mistari miwili ni sambamba, pembe ya 35^ ni pembe mbadala ya ndani na pembe iliyo ndani ya pembetatu upande wa kushoto. Hivyo, pembe hiyo ni 35^. Vile vile, pembe ya 80^ ni pembe mbadala ya ndani na pembe iliyo ndani ya pembetatu upande wa kulia. Hivyo, pembe hiyo ni 80^. Step 2: Tumia jumla ya pembe za ndani za pembetatu. Jumla ya pembe za ndani za pembetatu ni 180^. Kwa hiyo, tunaweza kuandika mlinganyo: W + 35^ + 80^ = 180^ Step 3: Tatua kwa W. W + 115^ = 180^ W = 180^ - 115^ W = 65^ Thamani ya pembe W ni 65^ Swali la 2: Tatua mlinganyo 5t - 2(t+1) = 1 Step 1: Panua mabano. Gawanya -2 kwa kila neno ndani ya mabano. 5t - 2(t) - 2(1) = 1 5t - 2t - 2 = 1 Step 2: Unganisha vigezo vinavyofanana. 3t - 2 = 1 Step 3: Tenga t. Ongeza 2 pande zote mbili za mlinganyo. 3t = 1 + 2 3t = 3 Step 4: Gawanya kwa 3. (3t)/(3) = (3)/(3) t = 1 Thamani ya t ni 1 Swali la 3: Tatua mlinganyo (m+2)/(2) = (4m-4)/(11) Step 1: Fanya "cross-multiplication". Zidisha namba ya juu ya upande mmoja na namba ya chini ya upande mwingine. 11(m+2) = 2(4m-4) Step 2: Panua mabano. 11m + 11(2) = 2(4m) - 2(4) 11m + 22 = 8m - 8 Step 3: Kusanya vigezo vya m upande mmoja na namba upande mwingine. Toa 8m kutoka pande zote mbili. 11m - 8m + 22 = -8 3m + 22 = -8 Toa 22 kutoka pande zote mbili. 3m = -8 - 22 3m = -30 Step 4: Gawanya kwa 3. (3m)/(3) = (-30)/(3) m = -10 Thamani ya m ni -10 Tuma swali linalofuata 📸