ZA and ZB are complementary angles. If m_A = (6x – 4)º and m ZB = (x + 17)°, then find the measure of ZA.

2 answers
Question:

ZA and ZB are complementary angles. If m_A = (6x – 4)º and m
ZB = (x + 17)°, then find the measure of ZA.

Answers

[tex]\\ \sf\longmapsto 6x-4+x+17=90[/tex][tex]\\ \sf\longmapsto 7x+13=90[/tex][tex]\\ \sf\longmapsto 7x=90-13=77[/tex][tex]\\ \sf\longmapsto x=11[/tex]

Answer:[tex]62 \degree[/tex]Step-by-step explanation:Complementary Angles are added up to 90°Therefore,[tex]6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11[/tex]So,[tex]ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree[/tex]Hope this helps you.Let me know if you have any other questions :-)

Similar Solved Questions

1 answer

The sudy of economics would be irrelevant if:(i) resources were unlimited(ii) wants were limited (iii) wants were unlimited(a) (i) only (b) (ii) only(c) (i), (ii), (iii) (d) (i) and (ii)​​

the sudy of economics would be irrelevant if:(i) resources were unlimited(ii) wants were limited (iii) wants were unlimited(a) (i) only (b) (ii) only(c) (i), (ii), (iii) (d) (i) and (ii)​​...
1 answer

Can someone help me!!!!!

can someone help me!!!!!...
2 answers

Lorri had a gross income of $3256.15 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted for FICA in 2010?

Lorri had a gross income of $3256.15 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted for FICA in 2010?...
2 answers

Please help me with this question

please help me with this question...
1 answer

Examine how substance abuse is responsible for accidents?

examine how substance abuse is responsible for accidents?...
1 answer

How did Catholic leaders encourage change during the Catholic Reformation? through a return to simony through a return to community service with a break from the sacraments with a break from church expansion

How did Catholic leaders encourage change during the Catholic Reformation? through a return to simony through a return to community service with a break from the sacraments with a break from church expansion...
1 answer

The bicameral nature of the us federal legislature is responsible for:

The bicameral nature of the us federal legislature is responsible for:...
2 answers

What is the definition of word?

what is the definition of word?...
1 answer

Which three brothers are the three main rulers of Greek mythology

Which three brothers are the three main rulers of Greek mythology...
1 answer

What phrase from the text best supports the answer to part A?

What phrase from the text best supports the answer to part A?...
2 answers

How can I get a glow up faster?

How can I get a glow up faster?...
1 answer

Ron made a mistake casting a spell, and 25 frogs start to appear each second in the classroom. After 10 seconds, Hermione cast another spell, and 35 frogs start to disappear as 25 frogs appear each second. For how many seconds was there at least one frog in the classroom?

Ron made a mistake casting a spell, and 25 frogs start to appear each second in the classroom. After 10 seconds, Hermione cast another spell, and 35 frogs start to disappear as 25 frogs appear each second. For how many seconds was there at least one frog in the classroom?...
2 answers

Who is considered the 'Father of Liberalism'? A: John Locke B: Ibn Taymiyyah C: James Denham Steuart D: None of the above

Who is considered the 'Father of Liberalism'? A: John Locke B: Ibn Taymiyyah C: James Denham Steuart D: None of the above...
1 answer

A value is decreased by 85% for a new value of 17.1. Find the original value.

A value is decreased by 85% for a new value of 17.1. Find the original value....
1 answer

A person places $73700 in an investment account earning an annual rate of 5.5%, compounded continuously . Using the formula V = P * e ^ (rt) , where V is the value of the account in t years, P is the principal initially invested , e is the base of a natural logarithm, and r is the rate of interest, determine amount of money, to the nearest cent , in the account after 11 years .

A person places $73700 in an investment account earning an annual rate of 5.5%, compounded continuously . Using the formula V = P * e ^ (rt) , where V is the value of the account in t years, P is the principal initially invested , e is the base of a natural logarithm, and r is the rate of interest, ...
1 answer

Is the decimal form of 13/3 a rational number

Is the decimal form of 13/3 a rational number...
2 answers

I Now Give Up On Life :) Don't Try And Stop Me

I Now Give Up On Life :) Don't Try And Stop Me...
1 answer

Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10 per mile, and she gave the driver a tip of \$5$5. Ann paid a total of \$49.10$49.10.

Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10 per mile, and she gave the driver a tip of \$5$5. Ann paid a total of \$49.10$49.10....
1 answer

Are the following endo- or exothermic? (use Table 1) CH4(8) +202(g) → CO2(g) + 2H200) H2(g) + 12(g) → 2HI(g) 2HI(g) → H2(g) + 12(8)

Are the following endo- or exothermic? (use Table 1) CH4(8) +202(g) → CO2(g) + 2H200) H2(g) + 12(g) → 2HI(g) 2HI(g) → H2(g) + 12(8)...
1 answer

Theo needs 4 boards that are each 3 feet long to make bookshelves how many feet of boards does he need altogether

Theo needs 4 boards that are each 3 feet long to make bookshelves how many feet of boards does he need altogether...

-- 0.014115--