Find the measures of the angles formed by two intersecting lines if the
sum of the measures of three of the four angles is 270°

50 points! Please help quick!

Answers

Answer 1

Answer:

every single angle is 90°

Step-by-step explanation:

remember that,

4 angles will form if two lines intersect and the sum of those 4 angles is 360°

we are given the sum of 3 angles i.e 270

so one of the angles should be

[tex] \displaystyle {360}^{\circ} - {270}^{\circ}[/tex]

simplify substraction:

[tex] \displaystyle {90}^{\circ}[/tex]

therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°

Answer 2

Answer:

90°

Step-by-step explanation:

We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°

Therefore :-

Measure of remaining one angle ,

360 - 270 90 °

Therefore the measure of the fourth angle is 90°


Related Questions

Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units

Answers

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

Answer:

24 units

Step-by-step explanation:

i just took the quiz

3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

the answer to the question above is D)10

3 - 11 x = - 118
what is the answer?

Answers

Answer:

x = 11

Step-by-step explanation:

I assume you want x, so I simply rearranged the terms, subtracted, and simplified.

X=11 should be the answer

PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

wow man that is crazy

Step-by-step explanation:

Which expression can be used to find the difference of the polynomials?

(10m – 6) – (7m – 4)

Answers

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Mathematically verify the outlier(s) in the data set using the 1.5 rule.
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

1. 7 & 19 are outliers.
2. 7 & 8 are outliers.
3. 7, 8, & 19 are outliers.
4. There are no outliers.

Answers

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

[tex]Q_1=\dfrac{11+13}{2}[/tex]

[tex]Q_1=\dfrac{24}{2}[/tex]

[tex]Q_1=12[/tex]

And

[tex]Q_3=\dfrac{16+16}{2}[/tex]

[tex]Q_3=\dfrac{32}{2}[/tex]

[tex]Q_3=16[/tex]

The interquartile range is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=16-12[/tex]

[tex]IQR=4[/tex]

The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

Type the correct answer in the box. Simplify this expression: -2x + 3 – (5 – 6x).

Answers

Answer:

4x - 2

Step-by-step explanation:

Given

- 2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= - 2x + 3 - 5 + 6x ← collect like terms

= 4x - 2

The expression -2x + 3 – (5 – 6x) simplifies to 4x - 2.

What is the correct way of simplifying an expression ?

The correct way of simplifying expressions is first solving what are inside the brackets.Then solving divisions then multiplications then additions and last subtractions.This way of solving order has a short name which is BODMAS order.

According to the given question we have to simplify the expression

-2x + 3 – (5 – 6x).

First we'll solve what are inside the brackets.

-2x + 3 - 5 + 6x.  (negative sign distributed to get a positive).

= 4x - 2.

= 2(2x - 1).

learn more about simplifying expressions here :

https://brainly.com/question/16738857

#SPJ2

Find the equation of the line.
Use exact numbers.

Answers

Answer:

Y = 2x + 5

Step-by-step explanation:

2x is your slope and 5 is your y intercept.

The formula for this is: y = mx + b

What did I do wrong in notes, and why is the answer what it shows on screenshot

Answers

Answer:

Hope you find it helpful and usef

Describe fully the single transformation that maps triangle A onto triangle B

Answers

Answer:there’s needs to be an image

Step-by-step explanation:

Look at the graph below. What type of function is represented by this graph?

Someone come through with the answers pls

Answers

So you need to get your slope formed then rise over run and calculate your graph. Y=Mx+b

BRAINLEST IF CORRECT

Answers

Answer:

first option

Step-by-step explanation:

the graph has a point of (8,2)

so see which option proves this point

2=0.25(8)

2=2

so first option is correct

yeah the other person is correct. it is option a. it’s just the slope. so from zero the line goes up 0.25 from each point to the next. and you check your answer by plugging in a number like the other person did.

if 2/a=1/b-1/d find an expression for d in terms of a and b​

Answers

Answer:

Step-by-step explanation:

2/a = 1/b - 1/d

2d/a = d/b - 1

2d/a - d/b = -1

d(2/a - 1/b) = -1

d(2b-a)/(ab) = -1

d(a-2b)/(ab) = 1

d = ab/(a-2b)

What is the reading on the meter

Answers

Answer:

the answer is 6803

Step-by-step explanation:

the first clock want to go next number and this number is 6 according to clockwise and second go 8 third go 0 and fourth go 3

Answer:

6803

Step-by-step explanation:

a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?

Answers

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

9514 1404 393

Answer:

  114.8°

Step-by-step explanation:

The angles can be found using the Law of Cosines. It tells you ...

  c² = a² +b² -2ab·cos(C)

Then angle C can be found to be ...

  C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))

  C = arccos(-419/1000) ≈ 114.77°

The measure of the obtuse angle is about 114.8°.

HELP ME ASAP I need help with this problem

Answers

The answer is the second choice

B.

the solution is in the picture

Select the correct answer. Which image shows the correct position of M(-4, 3)? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

a

Step-by-step explanation:

think about it, its' obvious

Which length is equivalent to 12 yards?
4 feet
9 feet
15 feet
36 feet

Answers

Answer:

4 feet

Step-by-step explanation:

1 yard is 3 feet

then 12 yards is 4 feet

Answer:

It is 36.

Step-by-step explanation:

It's simple math

How do I answer 3 and 4

Answers

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

what are the x- intercepts of the function f(x)= -2x-3+20?

Answers

Answer:

x = .464

Step-by-step explanation:

Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.

To solve for the x-intercepts, we plug in 0 for f(x).We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]We can divide both sides by -2. [tex]10=1/x^3[/tex].Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)

Factor 6x ^ 2 - 3x - 45; 3(2x - 5) * (x + 3); 3(2x - 3) * (x - 5); 3(2x + 5) * (x - 3); 3(2x + 3) * (x - 5)

Answers

Answer:

[tex]3(2x+5)(x-3)[/tex]

Step-by-step explanation:

The given equation is:

[tex]6x^{2}-3x-45[/tex]

It can be solved by using middle term splitting.

So,

[tex]6x^{2}-3x-45=6x^2+15x-18x-45\\\\=3(2x+5)(x-3)[/tex]

So, the factors of [tex]6x^{2}-3x-45[/tex] are [tex]3(2x+5)(x-3)[/tex]

The slope of the lines that passes through the points (-10,0) and (-13,3)

Answers

Answer:

-1

Step-by-step explanation:

The formula to find the slope of a line is:

[tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

where (x1, y1) and (x2, y2) are points on the line. We can substitute the points (-10, 0) and (-13, 3) into the formula and simplify:

[tex]\frac{3-0}{-13-(-10)} =\frac{3}{-13+10} =\frac{3}{-3} =-1[/tex]

This means the slope of the line is -1.

Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)

Answers

Answer:

c: y=(x-1)(x-3)

Step-by-step explanation:

A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0

Answers

Answer:

The quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is [tex]2\cdot (a + b) + 1[/tex].

Step-by-step explanation:

If [tex]a^{2}[/tex], [tex]b^{2}[/tex] and [tex]c^{2}[/tex] are consecutive perfect squares, then both [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are natural numbers and we have the following quantities of natural numbers:

Between [tex]b^{2}[/tex] and [tex]c^{2}[/tex]:

[tex]c^{2} = (b+1)^{2}[/tex]

[tex]c^{2} = b^{2}+2\cdot b + 1[/tex]

[tex]c^{2}-b^{2} = 2\cdot b + 1[/tex]

And the quantity of natural numbers between [tex]b^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]c^{2}-b^{2}-1 = 2\cdot b[/tex]

Between [tex]a^{2}[/tex] and [tex]b^{2}[/tex]:

[tex]b^{2} = (a + 1)^{2}[/tex]

[tex]b^{2} = a^{2} +2\cdot a + 1[/tex]

[tex]b^{2}-a^{2} = 2\cdot a + 1[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]b^{2}[/tex] is:

[tex]b^{2}-a^{2}-1 = 2\cdot a[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]Diff = 2\cdot a + 2\cdot b + 1[/tex]

Please observe that the component +1 represents the natural number [tex]b^{2}[/tex]

Which of the following is equivalent to the expression below?
2(-3x+1) – 4x

- -2x+2
- -10x+1
- 2x+1
- -10x+2

Answers

Answer:

[tex]\underline{\underline{ -10x +2}}[/tex]

Step-by-step explanation:

A expression is given to us and we need to simplify out the expression . The given expression is ,

[tex]\implies 2(-3x +1)-4x [/tex]

Open the brackets .

[tex]\implies -6x +2-4x [/tex]

Simplify the like terms .

[tex]\underline{\underline{ -10x +2}}[/tex]

Hence the correct option is (4) .

Express as a trinomial.
(2x-6)(2x-8)

Answers

Answer:

192

Step-by-step explanation:

calculator

The answer is 4x^2 - 28x + 48

The formula for the volume of a cylinder is V = srh.
Solve v = rn for h, the height of the cylinder.

Answers

Answer:

A

Step-by-step explanation:

Have a great summer :)

Please help :(((((((((((((((((((((((((

Answers

jeez that looks really hard

Step-by-step explanation:

Is (2, 2) a solution of y <_ 4x – 6?
Choose 1 answer:
Yes or No

Answers

Answer:

Yes

Step-by-step explanation:

1. Looking at the question

The question states that...

[tex]x=2\\y=2[/tex]

2. Plugging it in

[tex]2\leq 4(2)-6\\2\leq 8-6\\2\leq 2[/tex]

Yes

Hope this helped! Please mark brianliest :)

Answer:yes

Step-by-step explanation:

Y<_4x-6

2<_4(2)-6

2<_8-6

2<_2

Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.

Answers

Answer:

She should have included an exponent of 2 on the 3

Step-by-step explanation:

The factor tree can be presented as follows;

                [tex]{}[/tex]                                90

[tex]{}[/tex]                                                  ↓

[tex]{}[/tex]                                     9          ↔            10

[tex]{}[/tex]                                     ↓                           ↓

[tex]{}[/tex]                                3  ↔  3                  2  ↔  5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.

Answer:

B

✔ She should have included an exponent of 2 on the 3.

Step-by-step explanation:

E2021

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