Find the values of x, y, and z. Round to the nearest tenth, if necessary.

(choices are 3.6, 4.5, and 6.5)

Find The Values Of X, Y, And Z. Round To The Nearest Tenth, If Necessary. (choices Are 3.6, 4.5, And

Answers

Answer 1

Answer: x= 4.5, y=3.6, z=6.5

Step-by-step explanation:

To find : x, y and z.

First label the triangle as A,B,C and D (as in the picture below).

ΔABC , ΔACD and ΔABD both are right triangles.

In ΔABC ,

[tex]y^2=3^2+2^2[/tex]        [By Pythagoras theorem]

[tex]\Rightarrow\ y^2=13\\\\\Rightarrow\ y=\sqrt{13}\approx3.6[/tex]

In ΔACD ,

[tex]AD^2=3^2+x^2\\\\\Rightarrow\ AC^2=9+x^2 \ \ ...(i)[/tex]        [By Pythagoras theorem]

In ΔABC ,

[tex]y^2+AC^2=(2+x)^2\\\\\Rightarrow\ AC^2=(2+x)^2-y^2\ \ ...(ii)[/tex]

From (i) and (ii), we get

[tex]9+x^2=(2+x)^2-y^2\\\\\Rightarrow\ 9+x^2=4+x^2+4x-(3.6)^2\\\\\Rightarrow\ 9=4+4x-12.96\\\\\Rightarrow\ 4x=9-4+12.96\\\\\Rightarrow 4x= 17.96\\\\\Rightarrow\ x=\dfrac{17.96}{4}\\\\\Rightarrow\ x=4.49\approx4.5[/tex]

Z = 2+x= 2+4.5 =6.5

Hence, x= 4.5, y=3.6, z=6.5

Find The Values Of X, Y, And Z. Round To The Nearest Tenth, If Necessary. (choices Are 3.6, 4.5, And

Related Questions

Solve for y, 3x + y = 15

Answers

Answer:

y=-3x+15

Step-by-step explanation:

Answer:

y=15-3x

Step-by-step explanation:

you get this by moving the 3x to the other side

this causes the sign to change to minus

hope this helpsss :)) xx

What is the product of the polynomials (2x - x + 1)(x-3) ?

A. 2x3-7x2 + 3x - 3
B. 2r3-6x2 + 4x - 3
C. 2x3-7x2 + 4x - 3
D. 2x3 -6x2 + 3x - 3

Answers

Answer:

a

Step-by-step explanation:

Answer:

it is A 2x3-72+3x -3

Step-by-step explanation:

what is 2x3 and look at 3x-3 than look at 7x2

17. Find the value of x to
make the following equation true. n^10/n^12 = (n^x)^1

Answers

Answer: x = -2

[tex]\frac{n^{10} }{n^{12} } =(n^{x})^{1} \\\\<=>\frac{1}{n^{2} }=n^{x}\\\\<=>n^{-2}=n^{x}[/tex]

to make the equation true => x = - 2

Step-by-step explanation:

Which is cheaper for a $56 item that costs $9.25 to ship? A 15% off the cost of the item or free shipping?

Answers

Answer:

Cost of item with free shipping is cheaper than 15% coupon off. Hence, Cost of item with free shipping is cheaper than 15% coupon off.

Step-by-step explanation:

(6,-5) (7,-3) (8,-1) (9,1) is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

To find out if it's a function, check if any of the y values repeat. If they don't, it's a function. :)

Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)

Answers

Answer:

SinA=3/5

CosA=4/5

TanA=3/4

Step-by-step explanation:

first we have to find what side length bc is using the Pythagorean triple formula a^2+b^2=c^2 or c^2-b^2=a^2

20^2-16^2=144 the square root of 144 is 12 so side length bc=12

so sin is opposite/hypotenuse

the opposite of angle a is 12 and the hypotenuse is 20 so sinA is 12/20 or 3/5

cos is adjacent/hypotenuse

the adjacent of angle a is 16 and the hypotenuse is 20 so cosA is 16/20 or 4/5

tan is the opposite/adjacent

the opposite of angle a is 12 and the adjacent is 16 so tanA is 12/16 or 3/4

7) A store has a sale for 10% off. You decide to buy a $17 DVD.
A) How much money will you save?
1
I
B) How much money will you spend on the DVD?

Pleaseeeee help pleaseee
Thanksss

Answers

Answer:

you save 1.70 and spend 15.30

Step-by-step explanation:

what is the division expression for 6/10

Answers

6 divided by 10
the fraction bar means divide

6/10 is 6 divided by 10 the bar is the division sign

Step-by-step explanation:

it can be broken down further

[tex] \frac{6}{10} = \frac{3}{5} [/tex]


————PLEASE HELP————-



Olivia opens a savings account that pays 4% simple interest per yesr. If she deposits a total of $650, how much interest will she earn at the end of the first year?

Answers

Answer:

47

Step-by-step explanation:

Answer:

$676 = total money

Step-by-step explanation:

650 +(650x0.04) = 676

Alfonso has a $10 bill. At the grocery store, he buys a loaf of whole wheat bread for $1.99 and 9 bananas. He gets $5.13 in change. What is the price of one banana?
A. $0.32


B. $0.54


C. $0.89


D. $2.88

Answers

10.00-1.99= 8.01
8.01-5.13= 2.88
2.88/9=0.32

One banana is $0.32

If Alfonso has a $10 bill. At the grocery store, he buys a loaf of whole wheat bread for $1.99 and 9 bananas. He gets $5.13 in change. The price of one banana is $0.32

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Alfonso has a $10 bill.

At the grocery store, he buys a loaf of whole wheat bread for $1.99 and 9 bananas

So $10.00-$1.99= $8.01

We need to find price of one banana.

He gets $5.13 in change.

$8.01-$5.13=$2.88

He used $2.88 to buy nine bananas

The price of each banana we will calculate by dividing $2.88 by 9.

$2.88/9=$0.32

The price of each banana is $0.32, Option A is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

What is the solution to the system shown ?

Answers

Answer:

sorry hte pictures kind blurry :(

Step-by-step explanation:

Regina has 16 pencils. James has 3 times as many pencils as Regina.
What are two ways to find the number of pencils James has?
O A. 16+3 and 16 x 3
B. 16 + 16 + 16 and 16 x 3
OC. 3+3 + 3 and 18 x 3
O D. 16 + 3 and 3 x 48
E. 3+3+ 3 + 16 and 16 X 3

Answers

Answer:

B

Step-by-step explanation:

16 + 16 + 16 = 16 x 3

16 x 3 = 48

16 + 16 = 32

32 + 16 = 48

How many degrees are in Arc AC?

Answers

Answer:

B. 120° degrees

Step-by-step explanation:

Inscribed angle ABC = 60°

Arc AC = 2 * < ABC (Relation between arc and inscribed angle)

Arc AC = 2 * 60°

= 120°

Answer:

120°

Because, Angle ABC is incribed in arc AC .

We know that it's 2times than angle ABC.

THEREFORE, 60 × 2 = 120

What are the measures of the angles in the triangle? A 60; 60; 60 B 78; 51; 51 (6x + 10º) C 34; 112; 112 D 112; 34; 34 (x + 179) (4x - 349) OA​

Answers

Answer:

D

Step-by-step explanation:

x+17 = 4x-34

-3x = -51

x = 17

17+17= 34

The bottom two are equal so 34, 34

A triangle adds up to 180

180- 68 = 112

So the top is 112

After solving the equation for all three angles of a triangle, the angles are 34, 112, and 34. Hence, option C is correct.

What is a triangle?

The basic polygonal shape of a triangle has three sides and three interior angles. It is one of the elementary objects in geometry and is represented as follows. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given angles of a triangle in the question,

Let angle A = 6x + 10  (i)

Angle B = x + 17 and,   (ii)

Angle C = 4x - 34  (iii)

The submission of all angles will be equal to 180°.

(6x + 10) + x + 17 + 4x - 34 = 180

11x = 187

x = 17

Substitute the value of x in equations to find the angle,

A = 6(17) + 10 = 112

B = 17 + 17 = 34

C = 4(17) - 34 = 34.

These are the angles obtained

To know more about triangles:

https://brainly.com/question/2773823

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Solve for X

6+3x=12x-5​

Answers

Answer:

x= 11/9

Step-by-step explanation:

6 +3x = 12x -5

-6                -6

3x = 12x -11

-12x  -12x

-9x = -11

/-9      /-9

x= 11/9

6+3x=12x-15 equals 11/9 let me know if u want me to show work

Is the ordered pair (2,1) a solution to the system below? 2.x + 3y = 7 8x – 3y = 13 yes Or no​

Answers

Answer:

YES

Step-by-step explanation:

2(2) + 3(1) = 4+3= 7 then, 8(2) - 3(1) = 16 - 3 = 13

x=2

y=1

Write fifty-three ten-thousandths in decimal

Answers

Answer:

0.0053

Step-by-step explanation:

from the point you start counting backwards tenth, hundredth, thousandth, ten-thousandth

11. What is the third term of the recursive sequence below? a1=-6 an=1/2an-1-n
Hurryy plzzz

Answers

Answer:

a

Step-by-step explanation:

[tex]a_{1} = -6\\\\a_{n}=\frac{1}{2}a_{n-1} - n\\\\a_{2}=\frac{1}{2}a_{1}-2\\\\ = \frac{1}{2}*(-6)-2\\\\ = -3 - 2\\\\= -5\\\\a_{3}=\frac{1}{2}a_{2}-3\\\\= \frac{1}{2}*(-5)-3\\\\=\frac{-5}{2}-3\\\\= \frac{-5}{2}-\frac{3*2}{1*2}\\\\=\frac{-5}{2}-\frac{6}{2}\\\\=\frac{-11}{2}[/tex]

Find the perimeter and area of a rectangle of cardboard measuring 18.7 cm by 18.5 cm

Answers

Answer:

74.4cm

Step-by-step explanation:

Perimeter is L + L + W + W

or 2L +2W

so 2(18.7) + 2(18.5) = 74.4 cm

Write an Equation that represents the statement 12 less than a number X is 18

Answers

Answer:

x-12= 18

Step-by-step explanation:

And if you wanted to figure out x, you would just do 12+18

Answer: x- 12= 18

Step-by-step explanation:

Which number sentence is true?
8.5 <2.97
B
8.5 > 2.97
8.5 = 2.97
Please help

Answers

I'm pretty sure it's 8.5 > 2.97

Victor has 2 fraction models.Each is divided into equal sized sections the models are shaded to represent the same fraction.Model A is divided into 6 sections and 3 sections are shaded.Model B is divided into 12 sections select the true statement

Answers

Answer:

Model B has 6 shaded sections

Step-by-step explanation:

The question is not complete. The complete question should be in the form:

Victor has 2 fraction models. Each is divided into equal sized sections the models are shaded to represent the same fraction. Model A is divided into 6 sections and 3 sections are shaded. Model B is divided into 12 sections. What do you know about the number of sections shaded in Model B? Explain your answer.

Solution:

The fraction modeled by model A is given by the ratio of shaded sections to  the total number of sections.

That is Fraction of model A = number of shaded sections / total number of sections.

Hence:

Fraction of model A = 3 / 6

Since model B and Model A are equivalent, the number of shaded sections in Model A is given by:

number of shaded sections in model B/ total number of sections in model B =  Fraction of model A

number of shaded sections in model B / 12 = 3 / 6

number of shaded sections in model B = 12 * 3/6

number of shaded sections in model B = 6

What is the best approximation of the solution to the system to
the nearest integer values?
o
(3, 4)
o
(2, 3)
O (1, 3)
o (3, 2)

Answers

Answer:  (2,3)

====================================================

Explanation:

The intersection point of the two lines is where the solution point is located.

The x coordinate of that intersection point is a bit smaller than x = 2, but when rounded to the nearest whole number, we would get to x = 2.

At the same time, the y coordinate of the intersection point is a bit above y = 3, which rounds to this value when rounding to the nearest whole number.

So that's how we get to (2,3)

What is the slope of the line parallel to
y = -3x - 4 ?

Answers

Answer:

U being sh1t from a parallel dimension

Step-by-step explanation:

dayum

Answer:

All lines that are parallel to y=3x+4 y = 3 x + 4 have the same slope of 3

Step-by-step explanation:

Help please. I did my best to find the answer but...

Answers

Answer:

24

Step-by-step explanation:

This a special right triangle with angle measures of 30° 60° 90°

The side length that sees angle measure 30° is represented with a, the one that sees 90° is represented by 2a and the one that sees 60° is represented by a√2

AC sees angle B which has an angle measure of 60

(6√2)×(√2) = 24

I need help please!!

Answers

Answer:

Would be TSR

Step-by-step explanation:

Lining up the congruent angles and sides shows the correct statement.

Answer:

yea what that kid said

Step-by-step explanation:

$150 per hour is how much per min

Answers

$2.50

Hope this helps!

May I have brainliest? :D

$2.5 a minute because 150 divided by 60 is 2.5

8. Write a quarter million in scientific notation.

Answers

Answer:

250x10^3

Step-by-step explanation:

DONE BY 3:40 What is the greatest common factor of 60, 84 and 72?
OA) 4
B) 12
C) 24
OD 84

Answers

Answer:

B

Step-by-step explanation

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Nora works at a retail store. She earns a commission of $5.50 on each item she sells. If she sells 17 items, how much does she earn from commissions?
If Nora sells 17 items, she earns $
from commissions.

Answers

Answer:

$93.50

Step-by-step explanation:

$5.50 x 17 = $93.50

Hope that helps!

Answer:

$93.50

Step-by-step explanation:

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