Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm
which expression is not equivalent to the other three
2x+2+ + 3× -8
4 + 7× - 2
-2 + 5× + 2× - 4
8× - × - 6
Answer:
-2+5x+2x-4
Step-by-step explanation:
help !!! please show work so i know how to do it :)))
Answer:
70
Step-by-step explanation:
the red lines mean the two sides are equal
so its an isosceles triangle meaning the two angles other than the 40° one are equal
the inner angles of a triangle must add up to 180
so 180-40 = 2x
140 = 2x
x = 140/2 = 70
Answer:
x=70
Step-by-step explanation:
let unknown angle be a
then,a=x(base angle of an isosceles triangle)
a+x+40=180
x+x=180-40(a=x)
2x=140
x=70
х
—3
—1
1
4
8
10
у
14
10
6
0
?
—12
Answer:
I believe it would be the last table.
Step-by-step explanation:
How many times as many circles will there be at stage 21 compared to stage 20
Answer:[tex]2^{10}\ circles[/tex]
Step-by-step explanation:
Given
Stage 20 has [tex]2^9[/tex] circles
Considering at each consecutive stage circle doubles itself
So at stage 21, there will be [tex]2\times 2^9=2^{10}[/tex] circles
√2/k+√2=1/k-√2 leaving your answer in the form p+m√n
Answer: in decimal form=0.14644660
Step-by-step explanation:
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
What is the probability of rolling at least one six in three rolls of die
Answer:
91/216
Step-by-step explanation:
Answer:
.5% Chance
Step-by-step explanation:
If the sum of base angle of isosceles triangle
is 88° calculate the other angle
Answer:
92
Step-by-step explanation:
The sum of the three angles of a triangle is 180
We know the sum of the base angles is 88
180 = 88+x
180 -88 =x
92=x
The other angle is 92
Answer:
92°is other angle of isosceles triangle
which is the graph of f(x)= 3 sq root -x?
Answer:
3rd option. The way you do it is just plug in negative x value let's say -8, plug it in then y would be a positive value. So that rules out first two options. Then plug in positive x value, y would be negative.
What is 1/2x+1.5-2-7 simplified
Sophie buys eggs and apples at the store.
She pays a total of $22.11.
She pays a total of $4.29 for the eggs.
She buys 3 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag of apples costs.
(22.11 - 4.29) /3 = X
22.11- 4.29 = 17.82
17.28/3 = 5.94
One bag of apples cost $5.94
Answer:
(22.11-4.29)÷3=x
(17.82)÷3=5.94
x=$5.94
Jason and Mary will usually both run 4 miles each time they go running. This month, Jason ran an additional 15 miles. Which answer choice shows an expression that represents the total distance Jason and Mary ran this month if J = the number of times that Jason ran and m = the number of times that Mary ran? Answer Choices: 4j+4m+15, 8j + 8m + 15, 19j + 19m, 4j +19. Please answer if you know
Answer:
4j+4m+15
Step-by-step explanation:
jason+mary= 4 miles which= 4j+4m
jason ran additional 15 miles= +15
a carnival game has 18 balloons. Amy popped 2/3 the first game and 5/6 the second game. How many more balloons did she pop the second game?
Answer:
3 more balloons she has popped in the second game.
Step-by-step explanation:
Given that,
Total no. of balloons = 18
Amy popped 2/3 the first game and 5/6 the second game.
Balloons popped in first game = [tex]\dfrac{2}{3}\times 18=12\ \text{balloons}[/tex]
Balloons popped in second game = [tex]\dfrac{5}{6}\times 18=15\ \text{balloons}[/tex]
Difference of balloons popped in first and second game,
= 15-12
= 3 balloons
Hence, 3 more balloons she has popped in the second game.
Solve the trig. equation for all angles between 0-360.
2cos²θ=1
The area of a rectangular community the garden is 300 square feet. The length of a rectang!
three times its width. Find the length and width of the garden.
Answer:
30, 10
Step-by-step explanation:
length=x
wdith=y
xy=300, x=3y
replace x with 3y in the first equation to get
3y^2=300
y^2=100
since you cant have a negative side of a garden, y=10. x=30.
CHALLENGE Sara had some marbles. She got 20 more marbles for her
birthday, and she got 30 marbles at the store. Now Sara has 100 martha
marbles did she have to start?
Answer:
50
Step-by-step explanation:
a + 30 + 20=100
100-30=70
70-20=50
Answer: 50 marbles
Step-by-step explanation: 100-(30+20)=50
i need the answer shown on a graph
Answer:
i have no idea try to use m a t h w a y
Step-by-step explanation:
Which of the following expression is a perfect square?
A. 4x
B. 4x2
C. 6x4
D. 8x
PLEASE HURRY!
Each statement describes a transformation of the graph of y= x.
Which statement correctly describes the graph of
y= x - 8?
A. It is the graph of y= x translated 8 units to the left
B. It is the graph of y= x translated 8 units up.
C. It is the graph of y=x translated 8 units down.
D. It is the graph of y=xwhere the slope is decreased by 8.
Answer:
c
Step-by-step explanation:
its in slope intercept form, or y=mx+b where b is the y intercept, i.e. how far down the line hits the y axis. m would be the slope but we dont need to worry about that for now. since b is the y intercept, -8 would mean 8 units down
Find the value of x.
Round to the nearest tenth.
100°
25
30
х
x = [?]
Law of Cosines : c2 = a + b2 - 2ab cos C
Answer:
x ≈ 42.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesPre-Calculus
Law of Cosines: c² = a² + b² - 2(a)(b)cosC°Step-by-step explanation:
Step 1: Identify
Leg a = 25
Leg b = 30
C = 100°
Leg c = x
Step 2: Solve for x
Substitute [LOC]: x² = 25² + 30² - 2(25)(30)cos100°Exponents: x² = 625 + 900 - 2(25)(30)cos100°Multiply: x² = 625 + 900 - 1500cos100°Evaluate: x² = 625 + 900 - 1500(-0.173648)Multiply: x² = 625 + 900 + 260.472Add: x² = 1525 + 260.472Add: x² = 1785.47Isolate x: x = 42.2548Round: x ≈ 42.31\2 ÷ 1\2 i dont know the please help
Answer:
I think 1/2 divided 1/2 is equal to 1
Step-by-step explanation:
I put in into the calculator and it said 1
Help plss..................
The equation of a line that passes through points (0, 2) and (-2,0) is y=1x+2
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
To learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ6
write two different word phrases that mean the same thing, but stated differently.
6x + 5 = 17
Six times a number plus five is equal to seventeen.
Five added to the product of six and a number is seventeen.
4a2 – 21a + 20
4a
5
a
4a2
5a
4
16a
20
80a2
(4a + 5)(a + 4)
Answer:
5 a
Step-by-step explanation:
what is 3 / 1 - 1/2
[tex] \frac{3}{1 - \frac{1}{2} } [/tex]
I need help i have an exam on the 8th of Januaryary 2021 i need this because i will get me into highschool..
Answer:
6
Step-by-step explanation:
3 / 1 - 1/2 = 3 / 1/2
when dividing by singular fractions (1/3 1/6 1/29 whatever) just multiply by the denominator so 3 ÷ 1/2 = 6
Pls help. I will name you branliest if the answer is correct. (Look at the picture)!!!!
the first word is first
Answer and Step-by-step explanation:
We are told to solve for x.
A)
Subtract 3 from both sides tp get x by itself.
x = 5
B)
Add 5 from both sides tp get x by itself.
x = 12
#teamtrees #WAP (Water And Plant)
Step-by-step explanation:
a) x+3=8
x=8-3
x=5
b) x-5=7
x=7+5
x=12
hope it helps.
HELP QUICK
Write the equation of a line that is parallel to the graph of 3y = 2x − 3 and passes through the point
(−3, 4).
Answer:
y = 2/3x + 6
Step-by-step explanation:
First, put the original equation in y = mx + b form
3y = 2x − 3
y = 2/3x - 1
The slope of the other line will also be 2/3, since parallel lines have the same slope.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
4 = 2/3(-3) + b
4 = -2 + b
6 = b
Plug in the slope and b:
y = 2/3x + 6 is the equation of the line
What is the value of the expression ix0i1xi2xi3xi4?
Answer:The answer is - 1.
Step-by-step explanation: