1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
3 years ago
15

What is the value of z?

Mathematics
2 answers:
Alona [7]3 years ago
6 0
Z=56°
explanation: since the one angle is 90°, you need to take 68 away from 90, you get 22. then since the line between angle 78° and y, would add up to 120°, you must take 78° away from 120°, giving you 42 for angle y. now for 3-sided triangles, their 3 angles add up to 120°, so add 42 and 22, you get 64, and finally take 64 away from 120 and you get angle z, which is 56°
OLga [1]3 years ago
3 0
Answer:

z = 86

Explanation:

90 - 68 = 12
180 - 78 = 102
102 + 12 = 114
180 - 114 = 86


You might be interested in
670000000 in scientific notion
LenKa [72]
6.7 10 squared positive 8
4 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through the given point, (1, 2).
Fiesta28 [93]

Answer:

Step-by-step explanation:

eq. of any line through (1,2) with slope m is

y-2=m(x-1)

if the line is parallel to x-axis then y=2

if the line is parallel to y-axis then x=1

7 0
3 years ago
X+20≥-7 i need help pls lollllllllllllllllllllllllll
Zina [86]

Answer:

Step-by-step explanation:

x is greater or equal to 13

7 0
2 years ago
Urgenttttt please I need it fast​
dolphi86 [110]

Answer:

Below in bold.

Step-by-step explanation:

c) 3 x (9^2)^3/4 x ((81^3)^5/6

= 3 x 81^3/4 x 81^15/6

= 3 x 81^(3/4 + 15/6)

= 3 x 81^13/4

= 3 x 3^13

= 3^14

= 4,782,969.

f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2

=  5^-2 x^2y^-4 / 625 x^4y^-2

=  5^-2 x^-2 y^-2 / 5^4

= 5^-6 x^-2y^-2

= 0.000064x^-2y^-2.

5 0
3 years ago
The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
omeli [17]

Answer:

C. The 6th term is positive/negative 80

Step-by-step explanation:

Given

Geometric Progression

T_5 = 160

T_7 = 40

Required

T_6

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;

To solve the common ratio;

Divide the 7th term by the 5th term; This gives

\frac{T_7}{T_5} = \frac{40}{160}

Divide the numerator and the denominator of the fraction by 40

\frac{T_7}{T_5} = \frac{1}{4} ----- equation 1

Recall that the formula of a GP is

T_n = a r^{n-1}

Where n is the nth term

So,

T_7 = a r^{6}

T_5 = a r^{4}

Substitute the above expression in equation 1

\frac{T_7}{T_5} = \frac{1}{4}  becomes

\frac{ar^6}{ar^4} = \frac{1}{4}

r^2 = \frac{1}{4}

Square root both sides

r = \sqrt{\frac{1}{4}}

r = ±\frac{1}{2}

Next, is to solve for the first term;

Using T_5 = a r^{4}

By substituting 160 for T5 and ±\frac{1}{2} for r;

We get

160 = a \frac{1}{2}^{4}

160 = a \frac{1}{16}

Multiply through by 16

16 * 160 = a \frac{1}{16} * 16

16 * 160 = a

2560 = a

Now, we can easily solve for the 6th term

Recall that the formula of a GP is

T_n = a r^{n-1}

Here, n = 6;

T_6 = a r^{6-1}

T_6 = a r^5

T_6 = 2560 r^5

r = ±\frac{1}{2}

So,

T_6 = 2560( \frac{1}{2}^5) or T_6 = 2560( \frac{-1}{2}^5)

T_6 = 2560( \frac{1}{32}) or T_6 = 2560( \frac{-1}{32})

T_6 = 80 or T_6 = -80

T_6 =±80

Hence, the 6th term is positive/negative 80

8 0
3 years ago
Other questions:
  • julia spends 2.25 on gas for her lawn mower.she earns 15.00 mowing her neighbors yard.what is julias profit?
    6·2 answers
  • A 15 foot pole extends & feet below ground and 10 feet above ground. Choose the
    9·1 answer
  • Use the given line(s) from a random number table to select numbers to use in each problem. Select 2 contestants for a game show
    5·2 answers
  • Ile to 2 +2 nie piszcze nic tylko sprawdzam
    15·1 answer
  • Help someoneee!!!! <br> ill give a brainliest
    15·1 answer
  • Order the expressions from least to greatest. √63 √50 √49
    11·2 answers
  • The coordinate plane below represents a town. Points A through F are farms in the town.
    15·1 answer
  • I need help with algebra 2 ​
    12·2 answers
  • How many judges should be selected to estimate the population mean wage with 90% confidence and a margin of error of $2.00
    5·1 answer
  • PLz HELP ME <br><br>WILL GIVE BRAINLYIEST<br>BE QUICK PLZ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!