1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kodGreya [7K]
3 years ago
8

Find the value of X

Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0
First, we should figure out an equation and take note that we are dealing with complementary angles (angles that add up to 90 degrees)

Your equation:
(2x + 1) + (x - 7) = 90

Now solve!
====================================================================
SOLVING...

<span>(2x + 1) + (x - 7) = 90
</span>
Simplify and combine like terms
2x + 1 + x −7 = <span>90
</span><span><span>2x + 1 + x + </span>−7 </span>= <span>90
</span><span><span>(2x + x) </span>+ <span>(1 + −7) </span></span>= <span>90
</span><span>3x + −6 </span>= <span>90
</span>
Add 6 to each side
<span><span><span>3x </span>− 6 </span>+ 6 </span>= <span>90 + <span>6
</span></span>3x = 96

Divide each side by 3
3x ÷ 3 = 96 ÷ 3
x = 32

You might be interested in
Porfa ayuda plissss<br>(SINO SABES NO CONTESTES)<br>DOY PUNTOS​
Leto [7]

Answer:

B

Step-by-step explanation:

Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05

6 0
3 years ago
Read 2 more answers
In order to solve the system of linear equations, the coefficients of one of the variables must be the same number but opposite
Mashutka [201]

Answer:

Step-by-step explanation:

because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number  so that there will be at least one variable with the same number but with opposite signs.

it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

2(2x)+2(3y)=(2)6

(do not forget to multiply what the equation is equal to also)

4x+6y=12

now for the second equation we need y to equal negative 6

-3(5x)+-3(2y)=-3(4)

-15x-6y=-12

now lets put the 2 new equations next to each other and see what we can cancel out

4x+6y=12

-15x-6y=-12

-11x=0

x=0

now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.

2(0)+3y=6

3y=6

y=2

so your answer is x=0, y=2

8 0
3 years ago
Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

(a² - b²) = (a + b) (a - b)

We can prove and confirm this be solving the algebraic expression

(x + y) (x - y)

We expand the bracket

x² - xy +xy - y²

x² - y²

Therefore, option A is the correct option.

6 0
4 years ago
Read 2 more answers
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
4 years ago
Write a quadratic function whose zeros are -3 and -4
andreev551 [17]

Answer:

  f(x) = (x -(-3))(x -(-4))

Step-by-step explanation:

The function can be written as the product of binomial terms whose values are zero at the given zeros.

  (x -(-3)) is one such term

  (x -(-4)) is another such term

The product of these is the desired quadratic function. In the form easiest to write, it is ...

  f(x) = (x -(-3))(x -(-4))

This can be "simplified" to ...

  f(x) = (x +3)(x +4) . . . . simplifying the signs

  f(x) = x^2 +7x +12 . . . . multiplying it out

6 0
4 years ago
Other questions:
  • Select all the statements that apply to the concept of a residual
    6·1 answer
  • Which of the following represents "five times the sum of a number and fifteen is fifty"?
    9·2 answers
  • This coordinate grid shows the location of 4 tents around a campfire.
    5·1 answer
  • The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer
    9·1 answer
  • For f (x) = 4x +1 and g(x) = x2-5, find
    10·1 answer
  • What is the answer to <br> x=3x-20 and y=-6+30
    15·1 answer
  • 15 x -3=?<br><br> 5<br> 45<br> -45<br> -5
    13·1 answer
  • FIND VALUE OF SLOPE PLEASE
    8·1 answer
  • Help please!!No links!!
    11·1 answer
  • Helpppppppppppppppppppppppp
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!