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
MissTica
3 years ago
13

What is the value of X? X=2.25 X=11.25 X=13 X=22

Mathematics
2 answers:
olga55 [171]3 years ago
5 0
(2x + 10) + (6x + 1) = 180 - 79
VashaNatasha [74]3 years ago
5 0

Answer:  The correct option is (D) 22.

Step-by-step explanation:  We are given to find the value of x from the given figure.

From the figure, we see that a triangle is shown where the measure of an external angle is (6x + 1)° and the measures of the two remote interior angles are 79° and (2x + 10)°.

Since the sum of the measures of two remote interior angles of a triangle is equal to the measure of the external angle, so we get

79^circ+(2x+10)^\circ=(6x+1)^\circ\\\\\Rightarrow 79+2x+10=6x+1\\\\\Rightarrow 6x-2x=88\\\\\Rightarrow 4x=88\\\\\Rightarrow x=\dfrac{88}{4}\\\\\Rightarrow x=22.

Thus, the required value of x is 22.

Option (D) is CORRECT.

You might be interested in
What is the measure of T and U
andreev551 [17]
T-> 180-2*(54)= 72° ……
5 0
2 years ago
At the beginning of year 1, Jonah invests $300 at an annual compound
Nookie1986 [14]

Answer:

wergeyhrfed

Step-by-step explanation:

4 0
2 years ago
What are the coordinates of the fourth point that could be connected with (–8, 0), (1, 0), and (1, –5) to form a rectangle?
sergey [27]
(-8, -5)

To form a rectangle, all the lines must be perpendicular and parallel. If you draw out the points on a coordinate plane then you can find the answer pretty easily. 

Also, this one is easy because all the lines are vertical or horizontal, and when that is the case then you can just see which number in the set hasn't appeared twice (1 appeared twice as an <em>x</em> value, 0 appeared twice as a <em>y </em>value, but -8 has only appeared once as an <em>x</em> and -5 has only appeared once as a <em>y </em>value)
6 0
3 years ago
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

5 0
3 years ago
Chicago
Soloha48 [4]
Desert Shores is below the sea level and the difference is more than 600 feet
4 0
2 years ago
Other questions:
  • pedro open his account with $710 and withdraw $35 per week. maria opened her account with $570 and withdrew $25 weekly .In how m
    6·1 answer
  • Determine the equation of the circle that contains the point A(1,-3) , B(3,3), C(9,1)
    14·1 answer
  • Find the equivalent expression.<br> 2^2
    10·2 answers
  • -7m - 4m + 2 + 5 = 7 - 3m - 8m
    15·1 answer
  • Find the quantity represented by each percent <br> 45% of 96 quarts(usa quarts)
    14·1 answer
  • Kim has read 35 pages a book. that is 20% of the total number of pages. how many pages long is kim's book?
    12·1 answer
  • PLZ help pic included
    8·1 answer
  • Simplify (4x - 6) + (3x + 6)
    8·2 answers
  • Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth
    5·1 answer
  • Find the probability of choosing the 5 winning lottery numbers when the numbers are chosen at random from 0 to 9.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!