Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.

Answers

Answer 1

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°


Related Questions

Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?

Answers

Answer:

5.99/3

Step-by-step explanation:

Teachers usually except this stuff because it is technically correct

SOMEONE PLS HELP ME

I ATTACHED A PIC​

Answers

Answer:

See solution below

Step-by-step explanation:

The centre of the circle will be the midpoint of both coordinate

Given the coordinates P(-7, -10) and Q = (3,2)

X = x1+x2/2

X = -7+3/2

X = -4/2

X = -2

Y = y1+y2/2

Y = -10+2/2

Y = -8/2

Y = -4

Hence the centre is at (-2, -4)

The distance between the coordinates will be the diamter

PQ =√(3+7)² + (2+10)²

PQ =√(10)² + (12)²

PQ = √100+144

PQ =√244

radius = √244/2

Get the equation

(x-a)² + (y-b)² = r²

(x -(-2))² + (y-(-4))² = (√244/2)²

(x +2)² + (y+4)² = (244/4)

(x +2)² + (y+4)² = 61

This gives the required equation

Jenelle invested $13000 in two mutual funds. Fund A earned 5% profit during the first year, while Fund B suffered a 2.5% loss. If she received a total of $290 profit, much had she invested in each mutual fund a

Jenelle invested $ ____ fund A
Jenelle invested $ ____into fund B

Answers

Answer:

hola la respuesta es 3900 y 2348

Step-by-step explanation:

espero que te sirva

Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB ll DC, Which of the following statements is true concerning trapezoid RSTU?

Answers

RS || UT is the correct answer here

The true statements concerning trapezoid RSTU are:

STUT

CABRS

DRS UT

Based on the given information that Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU, we can determine the relationships between the corresponding sides and angles of the two trapezoids.

Given:

AB || DC

Based on the parallel lines, we can infer the following relationships:

Corresponding sides are parallel:

RS || UT (corresponds to AB || DC)

ST || RU (corresponds to BC || DA)

Corresponding angles are congruent:

∠R ≅ ∠A

∠S ≅ ∠B

∠T ≅ ∠C

∠U ≅ ∠D

From these relationships, we can determine the following statements that are true concerning trapezoid RSTU:

STUT (corresponds to ABCD): The bases of the trapezoids are parallel, so the order of the vertices remains the same.

CABRS (corresponds to DCBA): The corresponding angles in trapezoid RSTU and trapezoid ABCD are congruent.

DRS UT (corresponds to ABDC): The order of the vertices is reversed, but the parallel sides and corresponding angles remain the same.

Therefore, the true statements concerning trapezoid RSTU are:

STUT

CABRS

DRS UT

To know more about trapezoid here

https://brainly.com/question/1410008

#SPJ2

Need Help with a math question asap
I can't seem to get this one quite right
2(x+8)^(2)+9=29
Answer format: (__,__)

Answers

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Gia knows that the formula for the surface area of a cube is A = 6s2, where s is the cube's side length. She wants to find the surface area of a cube with sides of length of LaTeX: \frac{1}{4}1 4- foot. What is the surface area of this cube?

Answers

Answer:

The area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].

Step-by-step explanation:

The formula for the surface area of a cube is :

[tex]A=6s^2[/tex]

Where

s is the cube's side length

Put s = 1/4 foot

So,

[tex]A=6\times (\dfrac{1}{4})^2\\A=0.375\ \text{foot}^2[/tex]

So, the area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].

Which list of numbers is ordered from greatest to least?

Answers

Answer: second one

Step-by-step explanation:

NEED HELP ASAP, WILL GIVE BRAINLIEST
Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

280

Step-by-step explanation:

How much is 3×4+9÷6+44×77×777×00+9?​

Answers

Answer:[tex]3*9+9/6+44*77*777*00+9[/tex], so using order of applications, it simplifies to 27+1.5+9 after multiplying and dividing, and the final answer is 37.5

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

pro tip use bodmas

3*4+9/6+44*77*777*00+9

3*4+1.5+44*77*777*00+9

12+1.5+0+9

22.5

Find the surface area of the solid.
17 yd
24 yd

Answers

The correct answer is 3696 yd^2

First I found the area of the square (24*24=576), then multiplied it by the number of sides (576*5=2880). Then I found the area of the triangle ((17*24)/2=204) and multiplied it by the number of sides (204*4=816). Lastly, you add the square and the triangle (2880+816=3696)

Plz help . . . plz???

Answers

Answer:

A. x^2+3x-4

B. 6x^2-5x+1

Answer:

A: x^2+3x-4

B: 6x^2 -5x +1

Step-by-step explanation:

Alright, so for this, use the FOIL method, by multiplying the terms of each question in this order:

First

Outer

Inner

Last

So with the first question, lets do this:

(x+4)(x-1)

F: x * x = x^2

O: x * -1 = -x

I: x * 4 = 4x

L: 4 * -1 = -4

Then combine the like terms together:

x^2 + -x + 4x -4

A: x^2+3x-4

With the next one, same deal:

(2x-1)(3x-1)

F: 2x * 3x = 6x^2

O: 2x * -1 = -2x

I: 3x * -1 = -3x

L: -1 * -1 = 1

Then combine them up:

6x^2 -2x -3x +1

B: 6x^2 -5x +1

All done!

The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

What’s the question for the problem?

Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?

Answers

Answer:

I can't find that file. please give it again.

Isabelle and Brenda are selling bunches of tulips.

→ Each bunch has 7 tulips.

→ Isabelle sold 7 bunches.

→ Brenda sold 3 bunches

What is the total number of tulips the friends sold?

A. 21

B. 42

C. 49

D. 70
PLEASE HELP!!!

Answers

c. 49 is the answer i believe.
It’s is D. 70,
It’s asking the TOTAL- 7(7) = 49 + 7(3) =70 total tulips sold combined

PLZZ HELP MEEEE PLZ PLZ I’LL MARK AS BRAINLIESTTT!!!!

Answers

Answer:

The object is moving at a constant speed

Step-by-step explanation:

20 points ill give brainlest if u can answer both !!

Answers

Answer:

3)

Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.

5/6 ÷ 1/18 = 5/6 * 18 = 15

Thus, the answer is D.

4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:

99 - 7[tex]a^{2}[/tex]

99 - 7(3)^2

99 - 7(9)

99 - 63 = 36

Therefore, it is 36.

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

Solve for x. 7x+9 9x-19

Answers

They are corresponding angles meaning they have the same angle. Therefore you can set the two requisition equal to each other and solve for X.

X = 4

pleas help due to night​

Answers

Answer

40.9

Step-by-step explanation:

Answer:

40.9 mm

Step-by-step explanation:

116.9 - (35.1 + 40.9) = 116.9 - 76 = 40.9 mm

ace help me pls I need help ace​

Answers

Answer:

?

Step-by-step explanation:

Answer:

ill help but i need the question

C. If Stephanie was short of wrapping paper, how much more did she need? If Stephanie had enough wrapping paper, how much of the ten feet was left over?

Answers

Complete question :

Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.

Answer:

Left over = 2292 in²

Step-by-step explanation:

Given that :

Gift boxes are identical ;

Each gift box is a cube with side length, s = 6 inches

Area of gift box, Surface area of a cube = 6s²

Area = 6(6²) = 6 * 36 = 216 in²

Area of one gift box = 216 in²

6 gift boxes will be : 216 in² * 6 = 1296 in²

Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²

Dimension of wrapping paper = 30 inches by 10 feets

Recall :

1 Feet = 12 inches

Hence ; dimension of wrapping paper becomes :

30 inches by (10*12) inches

30 inches by 120 inches

Area of wrapping paper = 30 * 120 = 3600 in²

Total area of paper - area of gifbox - area of overlap

(3600 - 1296 - 12) in²

= 2292 in²

Leftover = 2292 in²

1.
Use synthetic division and the Remainder Theorem to find P(a).

P(x) = x3 + 7x2 + 4x; a = −2


2


12


−2


0

Answers

Answer:

12

Step-by-step explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0.  This third order function has four coefficients.  We set up synthetic division with -2 as the divisor:

-2   /   1    7    4    0

              -2   -10  12

     ----------------------

        1      5     -6  12

The remainder is 12.  Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.

A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters

Answers

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2

9. Hallar el perímetro de la figura sombreada.
Lado del cuadrado 6 m. (Las curvas son
semicircunferencias)
M​

Answers

Respuesta:

Perímetro de la parte sombreada = (6pi + 24)

Explicación paso a paso:

Encuentra el diagrama adjunto

Primero necesitamos encontrar el perímetro de los semicírculos externos que sobresalen

Diámetro del semicírculo = 1/2 de la longitud del lado del cuadrado

Diámetro del semicírculo = 1/2 × 6 m = 3 m

Perímetro de los 4 semicírculos = 4 (pi d)

Perímetro de los 4 semicírculos = 4 × 3,14 × 3

Perímetro de los 4 semicírculos exteriores = 1

2pi cm

Para la parte interior sombreada = Perímetro de todo el cuadrado - Perímetro de semicírculo (2 cuadrantes)

Perímetro del cuadrado entero = 4 (6) = 24m

Perímetro de los 2 cuadrantes = pi d

Perímetro de los 2 cuadrantes = 6pi cm

Para la parte sombreada interior, perímetro = 24-6pi

Perímetro de la parte sombreada = 12pi + 24-6pi

Perímetro de la parte sombreada = (6pi + 24) cm

I need help with finding the area to this Triangle. This is Geometry by the way.

Answers

Answer:

9 sq. units

Step-by-step explanation:

dimensions of rectangle are (7-3),(8-3)

or 4,5

area of rectangle=4×5=20

area of bottom Δ=1/2×4×2=4

area of top Δ=1/2×3×3=9/2

area of right triangle=1/2 ×5×1=5/2

area of Δ HIJ=20-(4+9/2+5/2)

=20-(4+14/2)

=20-(4+7)

=9 sq. units.

or area of triangle =1/2

| 3  5 |

| 7  3 |

|6   8 |

|3   5 |

=1/2[(9-35)+(56-18)+(30-24)]

=1/2[-26+38+6]

=1/2[-26+44]

=1/2(18)

=9 sq. units.

What is 1/3+1/2equal to (fraction form)

Answers

Answer-

5/6

Step-by-step explanation:

A square mirror has a perimeter of 8 ft how long is each side of the mirror

Answers

Answer:

2 ft

Step-by-step explanation:

Perimeter = 4 * sides

8 ft = 4 * s

side = 2 ft

Answer:

2 ft

Step-by-step explanation:

8/4 = 2

An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply: 110 55 35 15

Answers

Answer:

35 degrees

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side

sum of angles in a triangle = 180

180 - 110 = 70

since 2 angles would be equal

70 / 2 = 35

Mike jogged 6 laps around a 0.25 mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined? miles

Answers

Answer: 3.25 miles

Step-by-step explanation:

6 + 7 = 13

13 x .25 = 3.25

7 x 0.25 = 1.75
6 x 0.25 = 1.5
1.75 + 1.5 = 3.25
I hope this helps you :)

Jeremiah mows his yard every week. On the first week of the month, it took 136 minutes to mow
his yard. On the second week of the month, it took him 153 minutes. What is the percent of increase

Answers

It increased just subtract it that u will he’s y answer
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