<span>29+10j= -11
</span><span>29+10j - 29 = -11 - 29 (subtract 29 to both sides)
10j = -40
10j/10 = -40/10 (divide both sides by 10)
j = -4
</span>
Answer:
The answer is no solution.
Step-by-step explanation: First, you would add + 12 to both sides of the equation so that you would have 5c + 21 = 5c. Then, you would subtract 5c from both sides of the equation. This would leave you with 21 = 0. Since this is not true, the equation would have no solution.
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer:
94 press ups
Step-by-step explanation:
62 x 1.52 = 94.24
≈94
31/100 represents the yellow marbles because 3/10 = 30/100, 2/10 = 20/100, and 19/100.It all adds up to 69/100 marbles.