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3 years ago

What is the missing statement in step 6 ??????? Please just give the answer

Mathematics

2 answers:

Darina [25.2K]3 years ago

6 0

CSin(B) = bSin(C) is the missing statement

joja [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Given: In ΔABC, AD⊥BC.

To prove: $\frac{sinB}{b}=\frac{sinC}{c}$

Proof:

Statement Reason

1. In ΔABC, AD⊥BC. Given

2. In ΔADB, $sinB=\frac{h}{c}$ Definition of sine

3. $c(sinB)=h$ Multiplicative property of equality

4. In ΔACD, $sinC=\frac{h}{b}$ Definition of sine

5. $b(sinC)=h$ Multiplicative property of equality

6. $c(sin(B))=b(sin(C))$ Substitution

7. $\frac{sinB}{b}=\frac{sinC}{c}$ Division property of equality.

Hence proved.

Therefore, option C is correct.

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Deposits of $200 per month are put into an investment plan that pays an APR of 6.5%. How much money will be in the plan after

Cerrena [4.2K]

Answer:

The money will be $7455.97.

Step-by-step explanation:

Given : Deposits of $200 per month are put into an investment plan that pays an APR of 6.5%.

To find : How much money will be in the plan after 18 years ?

Solution :

There is a deposit of $200 per month.

For 1 year the principle value is $P=200\times 12=2400$

The rate of interest is r=6.5%=0.065

The time is t=18 years

Apply compound interest formula,

$A=P(1+r)^t$

$A=2400(1+0.065)^{18}$

$A=2400(1.065)^{18}$

$A=2400\times 3.1066$

$A=7455.97$

Therefore, The money will be $7455.97.

7 0

3 years ago

I NEED HELP ASAP!!

Levart [38]

Answer:

If i'm correct it would be 120 or 600.

Step-by-step explanation:

5 0

3 years ago

Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy

stira [4]

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

4 0

3 years ago

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

Reil [10]

Answer:

(1 , 1)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = x² – x + 1

Equation 2

y = x

Equate both equations

x² – x + 1 = x

0 = x² – x + 1 - x

x² – 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) -1(x - 1) = 0

(x - 1)(x - 1) = 0

(x-1)² = 0

x - 1 = 0

x = 1

Plug x = 1 in first equation

y = 1² – 1 + 1

y = 1

7 0

3 years ago

In abc the measure of side c is 3.9cm if def has a dilation of abc with a scale factor of 2.5

photoshop1234 [79]

Complete Question:

In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f

Answer:

f = 9.75

Step-by-step Explanation:

From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.

∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.

The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.

Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:

f = measure of c × scale factor

f = 3.9 cm × 2.5

f = 9.75

5 0

3 years ago