If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?

If MZBAC = (7x + 1) AndmZBCA = (52 + 9) . What Is Themeasure Of The Vertex Angle?

Answers

Answer 1
Answer:  122 degrees

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

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".


Related Questions

Having trouble solving this:

Answers

Answer:

It's the third option.

Step-by-step explanation:

Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7

Answer:

it's the 3rd one

SMART PEOPLE PLEASE TAKE THE TIME TO ANSWER THIS!!!!!!!!!

Answers

Answer:

40% ⋅ x = 35

x = 87.5

Step-by-step explanation:

To write an equation representing this situation, use the key words. 40% stays 40%. "Of" is the same as multiplication. "X" remains "x". "Is" is the same as equal to. 35 remains 35. So, the new equation you get is: 40% ⋅ x = 35.

To solve for "x", first turn the 40% into a decimal: 0.4. Now divide 0.4 from both sides to get: x = 87.5.

Note:

The dot "⋅", stands for the multiplication sign. I'm not using the "x" symbol for it because there is a variable x in the equation already.

Hope it helps!

What is the correct vocabulary term for a number variable product or quotient in an expression ​

Answers

Number variable is the main number for a product or quotient equation

In triangle ABC, A is a right angle, and mB = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.

Answers

This triangle is called a 45-45-90 triangle, and the side ratio for the sides opposite to the 45-45-90 degree angles respectively are 1-1-sqrt2

Now we know one side is 6 and its opposing the 45 degrees angle and BC is opposing the 90 degrees angle the ratio between the sides are 1:sqrt2

Therefore BC=6*sqrt2=6sqrt2

Thus B is the correct answer!

Hope this helped any questions just leave them in the comments of this answer.


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

72 paper clips to 63 paper clips

Answers

Answer:

72-63=9

9/72=13%

13% IS .13 SO TENTH IS .1

I AM NOT SURE ABOUT THE TENTH

Step-by-step explanation:

Given the following formula, solve for I.
P = 2(1 + b)
A
P - 0
4
OB. 1 = 4(P + b)
= P =
P - 26
OD. I =P
P – 5
OC. 1 =
2

Answers

answer: c. l =p-2b/2

step by step:

p=2(1-b)

p=2l-2b

p+2b/2=2l/2

l =p-2b/2

Graph the image of rectangle EFGH after a reflection over the line x= –1

Answers

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

What is a translation?

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

To know more about translation follow

https://brainly.com/question/12861087

#SPJ2

Need help ASAP I will give you 10 points

Answers

Answer: x=18

Step-by-step explanation:

First distribute:

(18/6)-(x/6)=0

Isolate the x variable:

(18/6)=(x/6)

18=x

Is y=9 a horizontal line or vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

y = 9 is a horizontal line :)

Step-by-step explanation:

y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .

I really really need help fast please

Answers

Answer:

-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)

Step-by-step explanation:

square root of 72 = 8.48528137 or 8.5 (rounding to tenths)

square root of 2 = 1.41421356 or 1.4

square root of 128 = 11.3137085 or 11.3

help me.............​

Answers

Answer:

Step-by-step explanation:

In order to simplify we do the following...

[tex]5y + \frac{5}{14} + 9n + \frac{2}{14} + 2y - 3n = (5y +2y) +(\frac{5}{14}+ \frac{2}{14}) + (9n - 3n) = 7y + \frac{1}{2} + 6n[/tex]

Answer:

This expression can be simplified to 7y + 6n + 1/2

Step-by-step explanation:

You can find this by grouping like terms and adding them together.  Starting with the expression we're given:

5y + 5/14 + 9n + 2/14 + 2y - 3n

Let's make it easier by grouping like terms:

(5y + 2y) + (9n - 3n) + (5/14 + 2/14)

Now we'll add them together:

7y + 6n + 7/14

And finally, we can simplify that fraction by factoring 7 out of both the numerator and denominator:

7y + 6n + 1/2

And now we have the final answer.

4^{3x+2}=
4
3x+2
=
\,\,2^{2x-4}
2
2x−4

Answers

Answer:

Dont know

Step-by-step explanation:

Sorryyyyyyyyyyyyyyyyyyyyy

Hellppp!! please help me find the answer

Answers

Answer:

A

Step-by-step explanation:

As

Option b- is false as the top speed is 18

Option c - is false as there lesser than 17 roadrunners

Option d- is false as everything is above 12

Option a- is true as 14 is like the average ...

I hope im right!

Grace bought 3 soccer balls for $14 each and 2 pairs of goalie gloves for $9 each. Write an expression for the total cost of the supplies. Then find the total cost. (LABEL)

Answers

Answer:

3(14)+2(9) is the equation

$60 is the total cost

Tell me if im right :)

Answer:

T=60

Step-by-step explanation:

Jonas and Marisol were the only candidates for sixth grade class president. Jonas received 60 votes and Marisol received 90 votes.



Of the 90 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?

Answers

Answer:

36 girls voted for Marisol

Step-by-step explanation:

What's ƒ(g(x)) if ƒ(x) = 3x + 7 and g(x) =6x – 5?

Answers

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

Find the slope of the line through the given points (4,-2),(-1,8)

Answers

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{8+2}{-1-4}[/tex][Fraction] Add/Subtract:                                                                                  [tex]\displaystyle m=\frac{10}{-5}[/tex][Fraction] Divide:                                                                                                 [tex]\displaystyle m=-2[/tex]

What are the possible measures of the triangle’s sides? Select all that apply.

Answers

Answer:

since a whole triangle is 180 you can do 60×3

Answer:

Step-by-step explanation:

Whole triangle = 180°

90 + 60 + 30

PLEASE HELP ME WITH THIS I HATE SCHOOL

Answers

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

can someone help me​

Answers

Step-by-step explanation:

40 ÷ 4 ( 4 sides) = 10

So each side measures 10inches

Answer:

10

Step-by-step explanation:

beacue 10x4

PLEASE HELP

How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N

Answers

Answer:

use pressure =Force /area

Step-by-step explanation:

12000N/1.08

if 2^x=3^y=12^z, show 1/z=1/y+2/x​

Answers

Answer:

2=k^1/x

3=k^1/y

12=k^1/z.......we get...

(atq)------k^1/x=k^1/y=k^1/z

(*a^m=b^m......b=a)

~1/x=1/y=1/z

1/z=1/y+1/x×2

(12=3+2×2)

1/z=1/y+2/x.....proved

10 + 2.5x > 35 please help meeee

Answers

[tex]x > 10[/tex]

Step-by-step explanation:

1) Subtract 10 from both sides.

[tex]2.5x > 35 - 10[/tex]

2) Simplify 35 - 10 to 25.

[tex]2.5x > 25[/tex]

3) Divide both sides by 2.5.

[tex]x > \frac{25}{2.5} [/tex]

4) Simplify 25/2.5 to 10.

[tex]x > 10[/tex]

Therefor the answer is, x > 10.


The compound interest on a sum of money in
2 years and 4 years are Rs 5,460 and Rs 12,066.60
respectively. Find the difference between principal
and compound interest of 3 years.​

Answers

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Please help!!!
Its an emergency

Answers

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]

Answer:

x=10

Step-by-step explanation:

The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].

For this triangle

[tex]\sqrt{2}y=5\sqrt{2}[/tex]

so y=5.

Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of

y, [tex]\sqrt{3}y[/tex], and 2y.  So

2y=x=10    

answer choices:90ft square inches, 45ft square inches, 80ft square inches ​

Answers

Answer:

CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK

Step-by-step explanation:


Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)

Answers

Answer:

(7,5)

Step-by-step explanation:

(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.

The statements are represented by the rational number -6?

Answers

Answer:

uhhh.. statement? *~*

Step-by-step explanation:

5. A jewelry supply shop buys silver chains from a manufacturer for $45.00. and then sells the
chains at a 57% markup. What is the retail price of a silver chain?

Answers

the answer is $70.65
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