Answer:
2p² + 14p + 2
Step-by-step explanation:
Given that;
C= 1+p²+3p
B=2p+6p
The expression that equals to : 2C - -B will be;
2{1+p²+3p} - {-2p-6p}
2+2p²+6p + 2p + 6p
2p² + 6p +2p +6p +2
2p² + 14p + 2
Answer: See explanation
Step-by-step explanation:
Total marks = 60
Kate = 40 marks = 40/60 × 100 = 66.7%
Kate gets a bronze medal.
Priya = 46 marks = 46/60 × 100 = 76.7%
Priya gets a silver medal
Nora = 49 marks = 49/60 × 100 = 81.7%
Nora gets a good medal.
Answer:
Sarah spent 45.76
Jack spent 38.16
Jack spent more on tax
Step-by-step explanation:
Sarahs game costs:
tax = 44 *.04 = 1.76
Total cost = game + tax
= 44 + 1.76
=45.76
Jacks game costs:
tax = 36 *.06 = 2.16
Total cost = game + tax
= 36 + 2.16
=38.16
Jack spent more on tax
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Answer: 15°.
171 ÷ 3 = 57
So, that means it's 57 mph
