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Sladkaya [172]
3 years ago
13

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!!

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0
<h3>Solution:</h3>
  • We know, the sum of the angles on a line is 180°.
  • Therefore,

(12x+20)°+(7x+8)° = 180°

or, 19x° + 28° = 180°

or, 19x° = 180°-28°

or, 19x° = 152°

or, x = 152° ÷ 19°

or, x = 8

  • Therefore, (12x+20)° = (12×8+20)° = (96+20)° = 116°
  • We also know that vertically opposite angles are equal.
  • So, z° = 116° or, z = 116
<h3>Answer:</h3>

x = 8

z = 116

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The fifth-grade teachers at Washington High School are decorating bulletin boards to get
Yuki888 [10]

The teacher will use 3 rolls only to have perfect measurements.

1 yard = 3 feet

4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need

9×4 yards of border

= 36 yards of border

= 108 feet of border

Also, there is a small bulletin board that only needs 12 feet border

Hence, in total there is a need for

108 + 12 = 120 feet border.

The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls

i.e. 3 rolls

Hence, the teacher will use 3 rolls only.  

Learn more about measurements here-

brainly.com/question/15658113

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6 0
2 years ago
The sum of two consecutive integers is – 7. Find the numbers
Y_Kistochka [10]

n,n+1 - two consecutive integers

n+n+1=-7\\2n=-8\\n=-4\\n+1=-3

<u>-4 and -3</u>

7 0
4 years ago
Ax+3=23 if a=0 plz help
VladimirAG [237]

Answer:

x = \frac{23}{a}

Step-by-step explanation:

Given equation is,

ax + 3 = 23

To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.

Step 1,

Subtract 3 from both the sides of the equation.

ax + 3 - 3 = 23 - 3

ax = 20

Step 2,

Divide the equation by a,

\frac{ax}{a}=\frac{23}{a}

x = \frac{23}{a}

Therefore, x = \frac{23}{a} will be the answer.

6 0
4 years ago
Answer please da will help
Mkey [24]

log_10 (600) is between 2 and 3

2,77815

8 0
2 years ago
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

8 0
3 years ago
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