Answers
Answer:
The measure of angle x is 68°
Step-by-step explanation:
The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures
In the given figure
∵ An isosceles Δ has a vertex angle of measure 68°
∴ The other two angles are equal in measure ⇒ base angles
→ The sum of the measures of the interior angles of a triangle is 180°
∴ The sum of the measures of the base angles = 180° - 68°
∴ The sum of the measures of the base angles = 112°
→ Divide their sum by 2 to find the measure of each angle
∵ The measure of each base angle = 112° ÷ 2
∴ The measure of each base angle = 56°
∵ There are two intersected segments
∴ There is a pair of vertically opposite angles
∵ The other isosceles Δ has a vertex angle of measure x
∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically
opposite angles
∴ They are equal in measure
∴ The measure of the base angle of the 2nd Δ = 56°
∴ The two base angles are equal in measure
∴ The measure of each base angle is 56°
→ The sum of the measures of the interior angles of a triangle is 180°
∵ 56° + 56° + x = 180°
∴ 112° + x = 180°
→ Subtract 112 from both sides
∴ x = 68
∴ The measure of angle x is 68°
Related Questions
A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? Write an equation and explain how you used it to find your answer
Answers
jo jo mera padha ye lhika huwa uski bhen randi aur uski ma maha randi
Answer:
They bought 15 uniforms
Step-by-step explanation:
Equation-
50x + 80 = 830
Subtract 80 from both sides
50x = 750
Divide both sides by 50
x = 15
Which of the following expressions is equivalent to the expression given below.
12 (-31 + 26) + 45
—————————
4
3.5
-3.75
4.2
-4.5
Answers
Answer:
wuhh
Step-by-step explanation:
I hope this helps you out
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answers
Answer:
bail
Step-by-step explanation:
what's the answer pls
Answers
Was I correct? I was having a bit of trouble on C and D :(
Answers
Answer:
You got A and D is right but C and B is switched
Step-by-step explanation:
The main thing is to first look at the y-intercept, C and B have different y-intercepts than the equation u gave them. So keep an eye out for that.
If a second square window has an area of 100 square inches, what is the length of each side?
Answers
Answer:
25
Step-by-step explanation:
25, 50, 75, 100
Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.
The scale of the drawing is 1/2 inch = 1 foot.
What is the perimeter of Mrs. Franklin's actual kitchen?
Answers
Answer:
48 feet
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
The perimeter is 48 feet
I don't understand.
Answers
Answer:
symmetric is the answerAnswer:
the second choice took the test
What is the value of the expression below?
Answers
Answer:
-19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
3² + (9 - 16)(4)
Step 2: Evaluate
Exponents: 9 + (9 - 16)(4)(Parenthesis) Subtract: 9 + (-7)(4)Multiply: 9 - 28Subtract: -19Answer:
Step-by-step explanation:
BODMAS=bracket
O=of
D=division
M=multiplication
A=addition
S=subtraction
3*3=9
9+(9-16)(4)
9+(7)(4)
9-28
-19
which expression can be written as 5x(2+7)
Answers
Answer:
Step-by-step explanation:
5x(2+7)
10x+35x
45x
There are no choices. But above is the answer if I need to solve it.
HOPE THIS HELPS
A 0.0375
B 6
C 60
D 600
Can you help pleaseeee!!
Answers
Step-by-step explanation:
kfkdkdjdjdjjdjdjdjjdjdndjdjdjjdjdjdjjrjdjdjnd
Given the equation: y=2x-5 , is your y-intercept below or
above the x-axis?
Answers
Answer:
Below
Step-by-step explanation:
The equation for slopes are y=mx+b. m = slope, and b = y-intercept.
Since b is negative the y-intercept will be below the x-axis.
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 are (-1,4)
Step-by-step explanation:
To get the coordinates, we use the internal division formula
Mathematically, that will be;
(nx1 + mx2)/(m+n) , (ny1 + my2)/(m + n)
In this case;
m = 5
n = 3
(x1,y1) = (-6,9)
(x2,y2) = (2,1)
Substituting these values, we have that;
(3(-6) + 5(2)/(5+3) , (3)(9) + 5(1))/(5 + 3)
= (-18 + 10)/8 , (27+5)/8
= -8/8,32/8
= (-1,4)
plssssss help 0nly 1-4 i will give brainliest
Answers
2) 64 - 40 = 24 and 112-88= 24 si that’s equal.
Explain why it’s equal; u can say they are both equal because...
The rest can’t help with sorry.
I will give explanation tho.
For 3 do x + y = ?
Insert the numbers you see and then do the x to whatever the x was so 4x and the x means 9 so multiply
4) do the same thing I explained with number 3 but with different numbers
I hope this helps :)
Pleaseeeeeeee!!!!!!!
Answers
Answer:
The answer is C
Step-by-step explanation:
2x10=20
2+10=12
20-12=8
10 is 8 more than 2
What is it will mark Brainliest
Answers
14. Which graph has an undefined slope?
Answers
Given:
Slope is undefined.
To find:
Which graph has an undefined slope?
Solution:
We know that, slope is change in y-values with respect to x-values.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is undefined if the denominator is 0.
[tex]x_2-x_1=0[/tex]
[tex]x_2=x_1[/tex]
It means, the x-values are same. It is possible only for a vertical line.
Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.
express the scientific notation:4830000000 with all formula
Answers
determine the equation of the line
Answers
Answer:
y=5x-12
Step-by-step explanation:
the slope is 5 and y int. is -12
Tyson has a collection of 60 sports ribbons. Of these ribbons, 30% are first place ribbons, 45% are second place ribbons, and the rest are third place ribbons. How many third place ribbons are in Tyson’s sports ribbon collection?
15
27
32
18
give me a serious answer or I will report you and your account will be deleted
Answers
30% of 60 = 18
45% of 60 = 27
27 + 18 = 45
60 - 45 = 15
Graph the system of equations y = x+2 and 2y = 2x - 4 and describe it as consistent and independent,
consistent and dependent, or inconsistent.
Answers
since the two systems are parallel to each other and has no solution, this system is inconsistent.
Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?
Answers
Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.
The possible values of n are 7, 8, 9
The given equation is:
an² = 182
Make n the subject of the formula:
[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]
Let us consider the minimum and maximum values of a:
when a = 2
[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]
When a = 5
[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]
We can conclude that 6.03 < n < 9.54
Since n is an integer, the possible values of n are 7, 8, 9
Learn more here: https://brainly.com/question/15816805
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
1/40 slice
4 slices
20 slices
40 slices
Answers
Answer:
40 slices
Step-by-step explanation:
Each slice = 1/8 pizza
Pizza = 8 slices
5 pizza = 5 x 8 slices
5 pizza = 40 slices
The total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Solving equationTotal pizza bought = 5Each slice = 1/8Total slices of pizza = Total pizza bought ÷ Each slice
= 5 ÷ 1/8
= 5 × 8/1
= 40 slices
Therefore, the total number of slices in 5 pizzas if each slice is 1/8 of a pizza is 40 slices
Learn more about equation:
https://brainly.com/question/2972832
what is the meaning of life
Answers
Answer:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
Step-by-step explanation:
Answer:
Step-by-step explanation:
The meaning of life, or the answer to the question: "What is the meaning of life?", pertains to the significance of living or existence in general. Many other related questions include: "Why are we here?", "What is life all about?", or "What is the purpose of existence?"
Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?
$3.36
$3.26
$6.74
None of these is correct.
Answers
Answer:
3.26
Step-by-step explanation:
first subtract $10.00 bye $3.26 witch equals $6.75
then subtract $6.76 bye $3.45 witch equals $3.26
You order the
hardcover book shown from a website that offers free
shipping on orders of $25 or more. Write and solve an
inequality that represents how much more you must
spend to get free shipping.
Price: $19.79
Answers
Answer:
19.79+x >= 25
x>=5.21
Step-by-step explanation:
Simplify completely.
A. 4
B.
1
C.
4
D. 4
Answers
Answer:
1. 1/4
2. 2/4
3. 2/4
4. 4/1
Step-by-step explanation:
Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)
Answers
The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the directions are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
What is the magnitude of the vector?The magnitude of a vector can be defined as:
The length of a vector or the distance between the initial point and the endpoint of a vector.
Here given that,
[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]
The magnitude of a vector is the length of the vector.
The magnitude of the vector a is denoted as ∥a∥.
For magnitude,
[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]
For Direction of sum,
[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
For the vector B, the direction of the sum is
[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]
Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]
and the direction are
[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]
To know more about the magnitude;
https://brainly.com/question/1852933
#SPJ6
El número misterioso: soy múltiplo de 3 y de 4 y estoy comprendido entre 30 y 99. El resto de mi división por 5 es 4. ¿Quién soy?
Answers
Answer:
84
Step-by-step explanation:
Let the number be x.
As the number is multiple of 3 and 4, so the number must be a multiple of the lowest common factor (LCM) of 3 and 4.
LCM(3,4)=12
So, the number, x, is a multiple of 12.
All the numbers between 30 and 99, which are multiples of 12 are 36, 48, 60, 72, 84, 96.
When x is divided by 5, the remainder is 4, so the unit digit of the number is 4.
Now, the number between 30 and 99, which is multiple of 12 and having the unit digit 4 is 84.
Hence, the required number is 84.
help please and maybe explain the answer if you have time
Answers
Answer:
I would say that it's A 1/3 because it's the slope and that's what a rate of increase is