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
snow_lady [41]
2 years ago
13

JNZ~ KOA. Find the unknown measures

Mathematics
2 answers:
shepuryov [24]2 years ago
4 0

Answer:

<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>

Step-by-step explanation:

If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.

We have the proportion:

\dfrac{JN}{KO}=\dfrac{NZ}{OA}=\dfrac{ZJ}{AK}

and equations:

m\angle N=m\angle O=90^o\\m\angle Z=m\angle A=28^o\\m\angle J=m\angle K=62^o

We have:

JN=8\ in,\ NZ=15\ in,\ KO=4\ in,\ AK=x\ in,\ ZJ=y\ in

For y we must use the Pythagorean theorem:

ZJ^2=JN^2+NZ^2\\\\y^2=8^2+15^2\\\\y^2=64+225\\\\y^2=289\to y=\sqrt{289}\\\\y=17\ in

\dfrac{JN}{KO}=\dfrac{ZJ}{AK}\to\dfrac{8}{4}=\dfrac{17}{x}        <em>cross multiply</em>

8x=(4)(17)

8x=68          <em>divide both sides by 8</em>

x=8.5\ in

blagie [28]2 years ago
4 0

Answer:

Circle

Step-by-step explanation:

You might be interested in
On a trip, you had to change your money from dollars to British pounds. You got 560560 pounds for 800800 dollars. How many pound
Vlad [161]
First you need to divide 800,800 by 300,300 because you need to know how these two amounts are related, in order to know how the amounts of pounds you are converting are related.
800,800÷300,300= 2.66666.... (recurring)
If $300,300 goes into $800,800 2.66666 times, then the amount of pounds you want to find goes into £560,560 2.66666 times as well. Let's write this as an equation to solve for x (where x is the amount of pounds you will obtain for $560,560):
2.66666x = 560,560
Divide both sides by 2.66666
x = 210,210
Therefore, you will get £210,210 for $300,000
7 0
2 years ago
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itsel
Radda [10]
The opposite operation of squaring is to find the square root. I dunno what the original equation is so I can’t help with that
5 0
1 year ago
Which postulate (if any) should be used to show the triangles are congruent?
dezoksy [38]

Answer:

ASA

Step-by-step explanation:

SAS, it must go in order and SAS covers it up, Side, Angle, Side

7 0
2 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,
tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let \bar X = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

                            Z  =  \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } }  ~ N(0,1)

where, \mu = population mean diameter = 141 millimetres

           \sigma = standard deviation = 7 millimetres

           n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(\bar X > 141.4 millimetres)

      P(\bar X > 141.4) = P( \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } } > \frac{141.4-141}{\frac{7}{\sqrt{39} }  } } ) = P(Z > 0.36) = 1 - P(Z \leq 0.36)

                                                            = 1 - 0.6406 = <u>0.3594</u>

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0
3 years ago
3(9-8x-4x)+8(3x+4)=11
Papessa [141]
3(9 - 8x - 4x) + 8(3x + 4) = 11

3(9 - 12x) + 8(3x + 4) = 11

27 - 36x + 24x + 32 = 11

59 - 12x = 11

-12x = 11 - 59 

-12x = -48

x = 4

hope this helps, God bless!
4 0
3 years ago
Other questions:
  • AN times E equals ABNA=1 B=5 E=3 N=0<br> A. True<br> B. False
    11·1 answer
  • QT 1.
    5·1 answer
  • Joe is thinking of an integer. The opposite of his number is greater than the number itself. What is true about Joe's number?
    15·2 answers
  • The typical soft drink can in the U.S. has a volume of 355 cm3. The two circular ends cost $0.0006 per cm2 each (because they ar
    11·2 answers
  • The car owned by a person is part of his or her ____.
    15·2 answers
  • True or False, the chance of flipping heads on a coin 3 times in a row is 1/2​
    9·2 answers
  • Is -1.27 a rational number
    10·2 answers
  • The polygons in each pair are similar. find the missing side length​
    5·1 answer
  • Please answer correctly! I will mark you Brainliest!
    7·1 answer
  • Write the slope-intercept form for the equation of the line through the given point with the given slope.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!