Find the value of each variable. Round to the nearest tenth. How does the measure of angle x compare to the measure of angle z? Justify.

Find The Value Of Each Variable. Round To The Nearest Tenth. How Does The Measure Of Angle X Compare

Answers

Answer 1

Answer:

z = 47.2°

w = 42.8°

y = 42.8°

x = 47.2°

Step-by-step explanation:

found altitude ('h') first:  6/h = h/7;  h = [tex]\sqrt{42}[/tex]

found base by using Pythagorean Theorem:

7² + ([tex]\sqrt{42}[/tex])² = c²

c = [tex]\sqrt{91}[/tex]

found angle z using Rule of Sines:

sin 90 / [tex]\sqrt{91}[/tex] = sin z / 7

arcsin z = 7 / [tex]\sqrt{91}[/tex] = 47.2°

found angle w by adding 90 and 47.2, then subtracting from 180 to get 42.8°

found angle y by subtracting m∡z from 90° to get 42.8°

found angle x by adding 90 and 42.8°, then subtracting from 180


Related Questions

Justin throw a football to his friend and the height of the football in meters above the ground after T seconds is modeled by f (t)=-4.9^2 + 30t+13 when did the football hit the ground

Answers

The football hits the ground at 6.53 seconds

The height function of the football is given as:

[tex]f(t) = -4.9t^2 + 30t + 13[/tex]

When the football hits the ground, f(t) = 0 i.e. the height of the football is 0.

So, we have:

[tex]-4.9t^2 + 30t + 13 = 0[/tex]

Using a calculator, we have:

[tex]t = \{-0.41, 6.53\}[/tex]

The value of time (i.e. t) cannot be negative.

So, we have:

[tex]t = 6.53[/tex]

Hence, the football hits the ground at 6.53 seconds

Read more about quadratic functions at:

https://brainly.com/question/11441586

Triangle MNO is transformed to produce triangle PQR. What transformations guarantee triangles MNO and PQR are congruent

Answers

Answer:

C, D, and E are corrects.

Step-by-step explanation:

Two plane figures are congruent if and only if one can be obtained from the other by a sequence of rigid motions. The rigid transformations are reflection, rotation, and translation. The image from these transformations will not change its size or shape.

A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image.

Therefore only C, D, and E are corrects.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

The transformations guarantee triangles MNO and PQR are congruent should be considered is option C, D, and E.

What is congruent?

The two plane figures should be considered as the congruent when one should be obtained from the other via the sequence of the fixed motions. Here the right transformation could be in the form of reflection, rotation, and translation.

Also, the image arise form transformations should remain the same with respect to the size or shape.

Therefore only C, D, and E are corrects.

This is an incomplete question. Please find the options below.

A. a dilation, then a translation

B. a reflection, then a dilation

C. a reflection, then a rotation

D. a rotation, then a translation

E. a translation, then a reflection

Learn more about triangle here: https://brainly.com/question/22310382

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 98 beat estimates, 29 matched estimates, and 35 fell short. (a) What is the point estimate of the proportion that fell short of estimates

If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05?

Answers

(8xd) or ur ganna be (78b)

Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change, I will buy more pencils.” How many pencils and how many rulers does she buy?

Answers

Answer:

Total pencils: 17

Total rulers: 15

Step-by-step explanation:

"I will buy 15 pencils."

15 * 8p = £1.20

15 pencils

"Then I will buy as many rulers as possible."

£5 - £1.20 = £3.80

£3.80/30p = 12 remainder 20p

12 rulers

"With my change, I will buy more pencils.”

20p/8p = 2 remainder 4 p

2 pencils

Total pencils: 17

Total rulers: 15

14) How many solutions does the
following equation have?
2x + x + 4 = 3x + 4

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

2x + x + 4 = 3x + 43x + 4 = 3x + 4

Both sides of the equation are exactly same.

It means regardless the value of x the equation is true.

The equation has infinitely many solutions.

2x+x+4=3x+43x+4=3x+4

As both sides are equal

There present infinite number of solutions

I've been stuck on this for the past hour. Can someone tell me how to solve it?

Answers

Answer:

The answer is 2.5

Step-by-step explanation:

Your welcome! I sometimes get stuck on problems like you too for hours until I get it.

Answer:

Scale factor: 2.5

Step-by-step explanation:

Scale factor is the ratio between corresponding measurements. And a pre image is basically an (original image) while an image is the translated version of the original.

I'm not sure what the best way to explain my answer is, but you can either multiply or divide to find the answer.

4 x 2.5 = 10

8 x 2.5 = 20

10 x 2.5 = 25

5 x 2.5 = 12.5

10/4 = 2.5

20/8 = 2.5

25/10 = 2.5

12.5/5 = 2.5

Clint is six and a half feet tall. Tobby is four and one quarter feet tall. How much trailer is clint than tobby

Answers

Answer:

27 inches or 2 feet 3 inches

Step-by-step explanation:

78-51=27

HELP PLEASE!!!!!! 10 POINTS!!
Select the correct operator for the following exponential expression.

Answers

Answer:

The answer is A. because (2)8 is bigger than (-2)'6

Solving inequalities by multiplication and division
1. -8 < 8w

Answers

Answer:

w > -1

Step-by-step explanation:

Hello There!

We want to simplify this expression to be more specific we want to isolate the variable (w) using inverse operations

So we want to get rid of the 8 in 8w

8w is the same as 8 times w (multiplication)

The inverse of multiplication is division so to get rid of the 8 we want to divide by 8 but remember whatever we do to one side we want to do to the other side. So we divide each side by 8

-8/8 = - 1

8w/8=w

we're left with w > -1

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-8 < 8w}[/tex]

[tex]\large\text{TURN/FLIP the given EQUATION around}[/tex]

[tex]\mathsf{8w > -8}[/tex]

[tex]\large\text{DIVIDE 8 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{8w}{8}>\dfrac{-8}{8}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{8}{8}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{Keep: } \mathsf{\dfrac{-8}{8}}\large\text{ because that helps you compare to the w-value}[/tex]

[tex]\large\text{New equation: } \mathsf{w>\dfrac{-8}{8}}[/tex]

[tex]\mathsf{\dfrac{-8}{8}=\bf -1}[/tex]

[tex]\mathsf{w>-1}[/tex]

[tex]\mathsf{It\ is\ an\ O P E N\ circle\ shaded\ to\ the\RIGHT\, starting\ at\ the\ -1}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: }\mathsf{\bf w > -1}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

ASAP PLEASE HELp!!! I WILL GIVE BRAINLEST!!!

Challenge-multistep:
Find the measure of arc AE

Answers

Answer:

Its 100

Step-by-step explanation:

I think <3 trust me on this shawty but not if its wrong

Which expression is equivalent to 36a-12b?

3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)

Answers

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

Anyone know??please????? And right answers

Answers

Answer:

ACB

Step-by-step explanation:

ACB is the correct answer

If f(x) =x+3 and g(x) = square root x-1 what is f^•g)(26)

Answers

Answer:

8

Step-by-step explanation:

In the xy-plane, the graph of the equation y = x2 +2 intersects the x-axis in how many points?
O Zero
O One
Ο Two
O More than two

Answers

Answer:

0

Step-by-step explanation:

Here, we want to get the number of times the graph of the function intersects the x-axis

Mathematically we need to know the number of roots the function has

We can get this by the use of the discriminant

This is:

D = b^2 - 4ac

b is the coefficient of x which is 0 here

a is the coefficient of x^2 which is 1 here

c is the last number which is 2

So;

D = 0^2 -4(1)(2) = 0-8 = -8

the discriminant value is negative

This means there are no real roots

x-y plane is used for real numbers and thus since there are no real roots, the graph of the equation will not intersect any point on the x-axis

Mrs. King has earned a pay increase. Her starting salary
was $36,000. Her new salary is 110% of her starting salary.
What is her new salary?

Answers

Answer:

39,600

Step-by-step explanation:

Free answer

What is the measure of angle N?

Answers

Answer:

47.3 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

180 - 42.7 - 90 = N

N = 47.3 degrees

Leave a like if this answered your question

The volume of the trapezoidal prism is m?.

Answers

The volume of a trapezoidal prism is 471.5 m³.

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know volume of a trapezoidal prism is [(1/2)×(b₁+b₂)×h}×H.

Therefore, The volume of this trapezoid is,

= (1/2)×(24 + 19)×21 m³.

= (1/2)×(43)×21 m³.

= 471.5 m³.

learn more about trapezoids here :

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#SPJ1

Equations and Expressions 1

Calculate if the value given for the variable is the solution or not.

6x-13=5 x=3


⅓(x+4)=20 x=48



4x+5.25=13.25 x=2



Solve

x/7=11


x-5=4



4x=20



x+3=5

Answers

DONT GO TO THE LINK IT MIGHT BE VIRUS OR SCARY OR TACKING THING BE SAFE

can someone please help me is it 65​

Answers

Answer:

Yes

Step-by-step explanation:

25 + 2(m-5)

25 + 2m - 10

25 + 50 - 10

75 - 10 = 65

Find the value of x
X=2
X=3
X=33
X=52

Answers

Answer:

b x=3

Step-by-step explanation:

What relationship CANNOT be used to prove that AABC is congruent to ADEF?


Help please!!!

Answers

Answer:

D) Angle angle angle

If you know angles of all the three sides (Angle-Angle-Angle), that STILL wouldn’t help because no triangle can be drawn only knowing angles, no matter how many angles you know!

There are 753 students in a college. 419 female. What is the percentage of female?

Answers

419/753 x100=55.6% percentage of female

Giving brainlist to whoever answers

Answers

Answer:

85.33ft2

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST!!!! :)

Answers

Answer:

your answer is D

plz mark me as brainliest

Which expression is equivalent to 5 ( 3x + 3 ) − 7x
A. 8x + 15
B. x +15
C. 8x+3
D. x+3

Answers

the answer is letter A bro

Answer:

The first Option is equivalent to the equation.

Step-by-step explanation:

1) Expand by distributing term.

[tex]15x + 15 - 7x[/tex]

2) Collect like terms.

[tex](15x - 7x) + 15[/tex]

3) Simplify.

[tex]8x + 15[/tex]

Hence, 8x + 15 is equivalent to this equation.

Help I need this now.

Answers

Answer:

I think Rose isn't correct.

Answer:

Rosa is incorrect because if we substitute b, for the number 4. The answer is not equal to 10.

Step-by-step explanation:

(3+9b)-2b=10

(3+9*4)-2*4=10

(3+36)-8=10

39-8=10

31=10

It is incorrect because the numbers are not the same.

what is 2.1 divided by 1.488 rouded to the nearest tenth

Answers

Answer:

1.4

Step-by-step explanation:

1) 2.1/1.4888= 1.4111

2)1.4

Answer:

1.4

Step-by-step explanation:

2.1/1.488=1.41129032258

round to the nearest tenth

(remember 5 and above give it a shove, 4 and below let it go)

A spinner is divided into an unknown number of equal-sized sections. Your friend spins it 100 times and tells you that it landed on section one 25 times. What is the best estimate of the number of sections the spinner is divided into? 4 25 100 400

Answers

Answer:

4

Step-by-step explanation:

the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times

Answer:

106,275,100

Step-by-step explanation:

you say if 100= 25 what about 4 25 100 400

=106,275,100

7 < z/2 + 3
what is the value of z

Answers

Z needs to be greater than 8

Answer z > 8
Workup in photo below.
Good luck!

find the volume figure below

A. 45 mm3

B. 45 mm2

C. 3,375 mm2

D. 3,375 mm3

Answers

Step-by-step explanation:

its either C or D and yup sure

Answer:

3,375 mm³

Step-by-step explanation:

To find the volume of a cube or rectangular prism, multiply the length, width, and height of the figure. In this case, the figure is a cube, so all the side lengths are equal. So, all you have to do is multiply 15 three times.

15 · 15 · 15 = 3,375

The answer is D, 3,375 mm³. Use the cubed symbol to show volume :) Good luck

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