Given: ADE = 60° and CDF = (3x + 15)º Prove: x = 15
What is the missing statement and the missing reason
in step 5?
F
Statements
1. ADE = 60°
CDF - (3x+15)
2. ZADE and ZCDF are vert. Zs
3 ZADE 2CDF
4. MZADE = m2CDF
5. ?
6.45-3x
7. 15 -
Reasons
1 given
2. def. of vert. Zs
3 vert. Zsa
4. def. of
5. ?
6 subtr. prop
7. div. prop
E
(3x + 15)°
С
60° D
B
KA
Statement: 60 = 3x + 15, Reason: substitution
Statement: x = 15; Reason: subtraction property of
equality
O Statement 60 = 3x + 15, Reason: transitive property
Statement: x = 15; Reason: subtraction and division
properties of equality

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places