If RSTU is a rhombus, find m< UTS.
R
S
(10x - 23)
T
(3x + 19)

If RSTU Is A Rhombus, Find M&lt; UTS.RS(10x - 23)T(3x + 19)

Answers

Answer 1

Answer:

106°

Step-by-step explanation:

Answer 2

The requried measure of the angle m∠ UTS is given as 106°.

What is an angle bisector?

An angle bisector is the line segment that bisects the angle into two equal halves.

here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,

10x - 23 = 3x + 19
x = 37

Now,

∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°

Thus, the requried measure of the angle m∠UTS is given as 106°.

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Related Questions

I need help, please I don;t know what I am supposed to do

Answers

Answer:you have to mutiply

Step-by-step explanation:

In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87

Answers

Answer:

30.4

Step-by-step explanation:

Can someone plz help me with this one problem plzzzzz

I’m Marking Brainliest!!!

Answers

19
23
25
Hope this helps, I’ll give an explanation if you want

please help due 15 min hurry

Answers

The equation of the coordinates (-12,-3) is y=4/3x+13

The perpendicular line of y=4/3x+13
Is y=-3/4x

Hope this’ll help

Help please I really need it!!!

Answers

X=-4
X-2=2x+2
Subtract 2 and x from both sides to get
-4=1x

A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.

Answers

Answer:

The height is 4 cm

Step-by-step explanation:

V = (pie) x radius² x height

615.44 cm³ = (3.14) x 7² x h

h = 615.44 cm³/(3.14 x 49)

h = 615.44 cm³/153.86

h = 4 cm²

Use long division to find each quotient. Show your computation and write your answer as a decimal.

a. 22÷5 b. 7÷8

Answers

A= 4.4 B= 0.875 should be the answers

earn 5 coins Which of the algebraic expressions below is equal to 20? Select all that apply. A) (5)(0.6) x 7 B) (C) (15) + 8 C) 4. (8 + 2) = 2 D) 14 + 4(2 + 3)​

Answers

Answer:

A) (5)(0.6) x 7  = 3 x 7 =21

B) (C) (15) + 8

C) 4. (8 + 2) = 2  = 4(10)

D) 14 + 4(2 + 3)​  = 14 + 4(5) = 14 + 20 =34

Sorry not clear your question

Step-by-step explanation:

25% of what is 84? help me and my other questions, please.

Answers

Answer:

25% of 84 = 21

Step-by-step explanation:

If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.


f(h + 9)

Answers

Answer:

Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

The required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Now the given functions are,

f(x) = 2x – 6

g(x) = x – 2x²

Now putting x = h + 9 in f(x) and g(x)we get,

f(h + 9) = 2(h + 9) – 6

⇒ f(h + 9) = 2h + 18 – 6

⇒ f(h + 9) = 2h + 12

⇒ f(h + 9) = 2(h + 6)

and

g(h + 9) = (h + 9) – 2(h + 9)²

⇒ g(h + 9) = h + 9 – 2(h² + 81 + 18h)

⇒ g(h + 9) = h + 9 – 2h² + 162 + 36h

⇒ g(h + 9) = -2h² + 37h + 171

⇒ g(h + 9) = -(2h + 19)(h - 9)

Thus, the required value of each function is

f(h + 9) = 2(h + 6)

g(h + 9) = -(2h + 19)(h - 9)

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Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?

Answers

Answer:

$90

Step-by-step explanation:

Given data

Price= $900

Rate= 25%

Time= 8 years

Let us apply the compounding formula

A= P(1-r)^t    >>>>note that the negative sign is because of the depreciation

substitute

A= 900(1-0.25)^8

A= 900(0.75)^8

A= 900*0.100

A= $90

Hence the value of the car after 8 years will be  $90

Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From the store back home was another 2/5 of a mile. How far did the girls walk in all?

Answers

Answer: The girls walked [tex]1\dfrac38[/tex] miles.

Step-by-step explanation:

Given:  Distance from home to school = [tex]\dfrac{6}{10}[/tex] mile

Distance from school to store = [tex]\dfrac38[/tex] mile

Distance from store to home = [tex]\dfrac25[/tex] miles

Total distance = [tex]\dfrac6{10}+\dfrac38+\dfrac25[/tex]

= [tex]\dfrac{6\times4+3\times5+2\times8}{40}[/tex]   [L.C.M.(10,8,5)=40]

= [tex]\dfrac{24+15+16}{40}[/tex]

= [tex]\dfrac{55}{40}[/tex]

= [tex]\dfrac{11}{8}=1\dfrac38[/tex]  miles

Hence, The girls walked [tex]1\dfrac38[/tex] miles.

What is the surface area of this rectangular prism, in square meters? 3 m 7 m 13 m​

Answers

Answer:

302

Step-by-step explanation:

7*13*2 + 3*7*2 + 3*13*2 = 302

Need Help pls pls!!!!

Answers

Answer:

1372 cm³

Step-by-step explanation:

Rebecca solved
√45 + 2 √20. Her answer was 5 √5 . Is she correct? If not, explain and correct the error.

Answers

No.

[tex]\sqrt{45}=3\sqrt{5} \\2\sqrt{20} =2\sqrt5}[/tex]

If you add them up you DO NOT GET [tex]5\sqrt{5}.[/tex] According to mathematics, it equals to [tex]7\sqrt{5}[/tex].

Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?

Answers

Answer:

I think the answer is 183.28

Step-by-step explanation: I divided 68.75 by 3 and got 22.91

so I multiplied 22.91 and 9.

The circumference of a circle is 94.2 millimeters. What is the circle's radius?

Answers

Answer:

14.99

Step-by-step explanation:

The radius of the circle is 15milimeters

the minimum charge the first 175 calls is rs 300 if the charge for each additional call is rs 350 how much is charge for 389 telephone calls​

Answers

Answer:

136150

Step-by-step explanation:

One additional charge is 350

389 call charge-(350x389)

Therefore, total charge is 136150.

HELP MEEEEE PLEASEEEEEE

Answers

Answer:

8.6

Step-by-step explanation:

There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).

For this, you would have to know the distance formula which is

d=√(x2−x1)^2+(y2−y1)^2

Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)

Further simplifies into [tex]\sqrt{49+25}[/tex]

=[tex]\sqrt{74}[/tex]

=8.602325

use the distance formula:

√ ( x2 - x1 )² + ( y2 - y1 )²

√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²

√ ( 7 )² + ( 5 )²

√ 49 +25

√ 74

8.602325267

8.6 is the answer

. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.

Answers

Answer:

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Step-by-step explanation:

Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.

To model: the tree growth with the Fibonacci sequence

Solution:

Take [tex]a_1=2[/tex]

Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.

[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]

So,

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Answer:

Yes.

Step-by-step explanation:

The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.

Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?

Answers

Answer:

218 cm²

Step-by-step explanation:

Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?

The formula to solve the above question is given as:

The curved or the lateral surface area of the cylinder = 2πrh

Where:

r = 3.4 cm

h = 10.2 cm

The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm

= 217.9 cm²

Therefore, the approximate area of the label that wraps around the can is

218 cm².

Please help with number 20

Answers

Answer:

6x

2

−3−7x

=6x

2

−7x−3

=6x

2

−9x+2x−3

=3x(2x−3)+1(2x−3)

=(2x−3)(3x+1).

Then, f(x)=0⟹2x−3=0 and 3x+1=0.

Therefore, 2x=3 and 3x−−1.

That is, x=

2

3

, x=

3

−1

.

Given the series 2+ 6 + 18+
*
use an appropriate formula to find S12.

Please put full solution.

Answers

Answer: Samsung Galaxy S12

Answer:

S₁₂ = 531440

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

r = 6 ÷ 2 = 18 ÷ 6 = 3

This indicates the sequence is geometric with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )

where a is the first term and r the common ratio

Here a = 2 and r = 3 , then

S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]

     = [tex]\frac{2(531441-1)}{2}[/tex]

     = 531441 - 1

     = 531440

What is the 18th term in this sequence?
5. 11, 17, 23. ...

Answers

u add 6 to every number each time
5,11,17,23,29,35,41,47,53,59,65,71,78,84,90,96,101,108
108 is the 18th term

Find the length indicated please!!

Answers

?=4

explanation:

the whole thing is 13, and it’s split in 2 sections. section 1 is 9, so to find the length of section 2, you would do 13-9=4.

what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21

Answers

Answer:

it must be y=-5x+21

Step-by-step explanation:

lets type the equation in front of us and make it simple so we can deal with it

y-1=-5(x-4)

first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this

y-1=-5x+20             -5*x=-5,,  -5*-4=20 (note: when you multiply negative with

                                                               negative result is positive)

then add each side by 1 so it will be

y=-5x+21

When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?​

Answers

Answer: 90

Step-by-step explanation:

40 % = 0.40. X = number of pigeons. 0.4x =36

X = 36/0.4 = 90

What is the volume of the circular cylinder if height is 25 and circumference 12

Answers

Answer:

V = 900π ≈ 286.47 units³

Step-by-step explanation:

C = 2πr

12 = 2πr

r = 12/2π = 6/π

V = 2πr²h

V = π(6/π)²(25) = π(36/π²)(25)

V = 36/π(25) = 900/π ≈ 286.47

Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space, m, m, end text, and 7\text{ mm}7 mm7, start text, space, m, m, end text. It has three acute angles. Complete the sentence to describe the triangle Lauren drew. Lauren's triangle is

Answers

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Joey is 5 years less than three times the age of his son. Joey is 43 years old.
A) If is son's age is x years, write an expression in x to represent Joey's age.
B) Write an equation in x that can be used to find the value of x and find the value of x.


(Note: I am a 13 year old girl in 7th grade)

Answers

Answer:

amogus

Step-by-step explanation:

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