In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer 1

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer 2

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60


Related Questions

graph the image of triangle PQR after a reflection across the line y = 2​

Answers

Answer: Refer to the diagram below

P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)

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

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

R(-6,4)Q(1,9)P(-7,9)

Now all we have to do it plot these points, and then we have the triangle PQR

Which system of equations has no solution?

5 x + 5 y = 10 and 2 x + 2 y = 4

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

6 x + 2 y = 6 and 7 x + 3 y = 9

3 x minus 4 y = 16 and 2 x + 3 y = 5

Question #2

Two linear equations are represented by using the tables below.

A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.

The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.

On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).

What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)

Answers

Answer:

is (-3,-2)

Step-by-step explanation:

because you are graphing them on a chart find

Answer:

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

Did the unit test review got it right.

Step-by-step explanation:

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8​

Answers

Brainiest Answer:
D.1/8

PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!

Answers

Step-by-step explanation:

For the left end of the function, it moves up towards positive infinity.

For the right end of the function, it movea down towarda negative infinity.

Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)

By what percent is 16 greater than 12.

Answers

Answer:

28 i assume.

Answer:

The answer is 28% :))

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *

Answers

48/4 = $12 per ticket
12 * 11 = $132
It would cost $132 for 11 tickets

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

6a-2z
Please help me

Answers

Answer:

2(3a-z)

cannot be further simplified

Step-by-step explanation:

6 ×3(2+9)..can you give the answer of it please ​

Answers

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Divide. Write in simplest form.
3/4 divided by 1/8

Answers

Answer:

when you divide 3/4 by 1/8 you get 6

Please help!!! I will make brainliest

Answers

This is correct mark me

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

I need help please I am having hard time doing this

Answers

i believe it’s undefined *shrugs* haven’t done those in a while

Answer:you are corect its negetive

Step-by-step explanation:

The y-intercept of 2x - y = 6 is -6.
O False
True

Answers

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

The slope of a line perpendicular to y = 2x + 1 is -2.
False
True

Answers

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.

a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.

b. Predict how many years it will be until the account is worth $5,000.

Answers

Answer: did this on edge

a. 19 months

b. 27 years

Step-by-step explanation: hope this helps:)

1

Plug the function y=1000(1.005)^x into your graphing calculator.

2

Put a split screen table. Use the table to find where x months will equal $1100

3

~19 months=1100

4

Use the table to find where x months is equal to $5000.

5

~27 years=5000

RESULT

a. 19 months

b. 27 years

if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals

Answers

Answer:

[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]

[tex]\frac{8r+8s}{15x-15y} = ?[/tex]

Step 2: Find Unknown

Multiply both sides by 8/15:                    [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply:                                  [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify:                                                   [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]

In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%

Answers

I think it is b hope this helps

Help please!!!

Triangle ABC is similar to triangle PQR, as shown below​

Answers

Answer:

b:q

Step-by-step explanation:

im pretty sure its that. ive learned this before.

if you flipped them so that c and r were facing the same direction, then b and q would be too.

Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?

Answers

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D

Answers

Do the vertical line test and draw a straight line.

Solution: C represents a function
B represents a function

A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?

Answers

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?

Answers

Answer:

[tex] - \frac{x + 2a}{3a + x} [/tex]

Step-by-step explanation:

[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]

i) write ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]

ii) write -2ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]

iii) factor out x from the expression

[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

iv) factor out -a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

v) factor out a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]

vi) factor out -x from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]

vii) factor out x+2a from the expression

[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]

viii) factor out 3a+x from the expression

[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]

ix) factor out the negative sign from the expression and rearrange the term

[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]

x) reduce the fraction a-x

[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]

[tex] - \frac{x + 2a}{3a + x} [/tex]

please help with this question (d+2)(-7)

Answers

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

The answer is -7d - 14!

Of the factors of 12 shown, which also have a sum of 7?

A: 12,1

B: 2,6

C: 3,4

Answers

The answer is C because 3 and 4 add together to equal 7

Merry Christmas please help

Answers

Answer:

A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence W

Please help me out !!!

Answers

Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66

Please Help

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

Find 56(−4⋅27). Write your answer in simplest form.

Answers

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

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