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Lana71 [14]
3 years ago
11

What is the missing reason in steps 7 and 8 of the proof? Given: ∆ABC with AB = c, BC = a, AC = b Prove: = = Statement Reason 1.

Draw a line through B that is perpendicular to and label the point of intersection with as D. construction 2. In ∆ABD, BD = c sin A definition of sine in right triangle 3. In ∆CBD, BD = a sin C definition of sine in right triangle 4. c sin A = a sin C Substitution Property of Equality 5. = dividing throughout by sin A sin C 6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction 7. In ∆BAE, AE = c sin B 8. In ∆CAE, AE = b sin C 9. c sin B = b sin C Substitution Property of Equality 10. = dividing throughout by sin B sin C 11. = = Transitive Property of Equality A. definition of cosine in right triangle B. definition of sine in right triangle C. definition of tangent in right triangle D. Corresponding sides of congruent triangles are equal. E. definition of equilateral triangle
Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

its d b/sinB=c/sinC

Step-by-step explanation: trust me

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Devin has $30 on his bus card. Every time he rides a bus, $1.20 is deducted from the value on his card. The amount if money he h
vaieri [72.5K]

Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

                                                  3.60 = -1.2x + 30

subtract 30 from both sides:  -26.4 = -1.2x

divide both sides by -1.2:             22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

6 0
2 years ago
3. For questions 3 and 4, write an equation and solve.
kiruha [24]
Y decreased by 23 is 52.9....
y - 23 = 52.9 <== ur equation
y = 52.9 + 23
y = 75.9
================
c - 12 = 6 <== ur equation
c = 6 + 12
c = 18
================
h - 234 = 1192
h = 1192 + 234
h = 1426
no, he is not correct because he did not add 234 and 1192 to find the value of h, which is 1426

8 0
3 years ago
Is -7 greater than -4​
antiseptic1488 [7]
No you’re welcome :)
5 0
3 years ago
Read 2 more answers
Sam paid $8.28 for 18 stamps.at this rate,how much would it cost Sam to buy 12 stamps
allsm [11]

Answer: It costs $5.52 to Sam to buy 12 stamps.


Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=\frac{8.28}{18}

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=0.46\times12

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

3 0
3 years ago
Read 2 more answers
HELP ME W MY MATH IM BEGGINGM
wel

Answer:

Year 1: 164.87

Year 2: 169.88

Year 5: 185.86

Step-by-step explanation:

She is earning 3% interest per year that compounds once yearly.

3 0
3 years ago
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