Answer:
See attachment for the figures drawn for each question.
10. x = 3; AB = 11
11. x = 2; AB = 6
Step-by-step explanation:
10. AC = 10x + 2
AB = 2x + 5
BC = 4x + 9
AB + BC = AC (segment addition postulate)
(2x + 5) + (4x + 9) = 10x + 2 (substitution)
The equation above is what we would use to solve the problem as follows:
2x + 5 + 4x + 9 = 10x + 2
Combine like terms
6x + 14 = 10x + 2
6x - 10x = -14 + 2
-4x = -12
Divide both sides by -4
x = 3
AB = 2x + 5
Plug in the value of x
AB = 2(3) + 5 = 6 + 5
AB = 11
11. AB = 3x
BC = x - 6
AC = 8x - 14
AB + BC = AC (segment addition theorem)
3x + (x - 6) = 8x - 14 (substitution)
Use the equation to solve for x as follows:
3x + x - 6 = 8x - 14
Collect like terms
4x - 6 = 8x - 14
4x - 8x = 6 - 14
-4x = -8
x = 2 (dividing both sides by -4)
AB = 3x
AB = 3(2)
AB = 6
Amber earned $14.50 babysitting on Saturday. On Sunday, she spent $6.95 when she purchased a movie ticket. She needed to borrow money from a friend to complete her purchase of a snack. How much money did Amber pay for the snack if she owes her friend $5?
(sorry for the second question in a short time loll, first to answer gets brainliest)
Answer:
$12.55
Step-by-step explanation:
14.50-6.95=7.55
7.55 for the snacks which is what was left over after the ticket and she owes her friend 5 so u add that on
7.55+5=$12.55
I need help asap please
Answer:
y=3x+6, y=5x,
Step-by-step explanation:
The area of a square is given by A = 82, where s is the length of each side of the square.
If the area of a square room is 81 square meters, what is the length of 1 side of the room,
in meters?
Answer:
The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.
Step-by-step explanation:
Hope dis helps
PLEASE HELP THIS IS DUE IN LIKE AN HOUR
What is the slope of the line that passes through the points shown in the table?
I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps
PLZZZZZZ ANSWER
ASAP
READ QUESTIONS CAREFULLY
Answer:
7
Step-by-step explanation:
What is the pattern ?
0, 1, 8, 27, 64,
Answer:
Step-by-step explanation:
1 (=1×1×1)
8 (=2×2×2)
27 (=3×3×3)
64 (=4×4×4)
Construct a square whose area is
36 cm²
i need help ordering this from least to greatest
plz help will mark brainliest
If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help
Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.
6x + 11 = 16x + 1
Subtract 6x and 1 from both sides
10 = 10x
Divide both sides by 10
1 = x
We also know that:
JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34
What is the distance between -5 and 2?
units
———- units
Answer:
7
Step-by-step explanation:
5+2 is the difference between the two numbers
Answer:7
Step-by-step explanation:
hope its help thanks for seeing my answe bye
to
What is mZXYZ
57
147
33
123
Answer:
57°
Step-by-step explanation:
[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\
\therefore m\angle XYZ + m\angle NOP = 90\degree \\
\therefore m\angle XYZ + 33 \degree = 90\degree \\
\therefore m\angle XYZ = 90\degree - 33 \degree \\
\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}
[/tex]
Explain, in your own words, how to solve two-step equations.
WILL GIVE 15 POINTS
IL MARK AS BRAINLIEST PPL
Answer:
3/4 AND 4/5 are greater than 11/20
Step-by-step explanation:
multiply 3/4 by 5 and u get 15/20
milptiply 4/5 by 4 and u get 16/20
your finding the LCM and LCD
what are the steps to simplifying radical expressions?
Answer:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
Step-by-step explanation:
ALGEBRA QUESTION THAT NEEDS ANSWER ASAP
A) 11.7
Step-by-step explanation:
sin 20/4=sin 87/c
sin 87×4=sin 20c
3.9945=0.3420c
c=3.9945/0.3420
c=11.7
2log50+2log2 sederhanakan dengan caranya
Answer:
4
Step-by-step explanation:
log(50×50)×log(2×2)
log (2500)×log(4)
log(2500×4)
log(10000)
log(10^4)
=4
A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?
Answer: b=-9
Step-by-step explanation:
To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]
Now that we know the slope, we can fill in what we know and solve for y-intercept.
y=3x+b
We can plug in any point to solve for y-intercept.
3=3(4)+b [multiply]
3=12+b [subtract both sides by 12]
b=-9
Now, we know that the y-intercept is b=-9.
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answer: 1/3
Step-by-step explanation:
Convert this rational number
to its decimal form and round
to the nearest thousandth.
Answer:
.857
Step-by-step explanation:
6/7 = about .8571
rounded to thousandth is .857
Equations: -5n=1 n+15= (-10) n/5 = -1/5 n-13= -12 Solutions n= -25 n= -1/5 n= -1 n=1 Match each equation with it's solution
Answer:
-5n = 1 ⇒ n = -¹/₅ n+15 = (-10) ⇒ n = 25 n/5 = -1/5 ⇒ n = -1 n-13= -12 ⇒ n = 1Step-by-step explanation:
-5n = 1
÷(-5) ÷(-5)
n = -¹/₅
n + 15 = (-10)
-15 -15
n = -25
n/5 = -1/5
×5 ×5
n = -1
n - 13 = -12
+13 +13
n = 1
Answer:
-5n = 1 : n = -¹/₅
n+15 = (-10): n = -25
n/5 = -1/5 : n = -1
n-13= -12: n = 1
I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....
Answer:D
Step-by-step explanation:
h(x) = 3x + 3
g(x)=-4x + 1
Find (h+ g)(10)
How to solve this ?
Answer:
h(x ) = 3 x+ 3
g ( x ) = − 4 x + 1
( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4
( h + g ) ( 10 )
= − 10 + 4
= − 6
Step-by-step explanation:
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
What is
2
- ---- x times 15
3
If you are asking what 2/3 times 15 is its 10
PLz hurry i really need this okay
Answer:
Step-by-step explanation:
perfect squares=9,64,49
non perfect squares=24,88,6
Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.
Answer:
Her door should be 3cm on scale
The actual dimension of the kitchen table is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
Step-by-step explanation:
Given
[tex]Scale= 1 : 40[/tex]
[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]
[tex]Door\ Width = 1.2m[/tex]
Solving (a): The width of the door on the scale
Represent the scale width with x
So, we have:
[tex]1 : 40[/tex]
and
[tex]x : 1.2[/tex]
Equate both ratios
[tex]1 : 40 = x : 1.2[/tex]
Represent as fraction
[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]
Solve for x
[tex]x = \frac{1.2}{40}[/tex]
[tex]x = 0.03m[/tex]
[tex]x = 3cm[/tex]
Hence, her door should be 3cm on scale
Solving (b): Actual Dimension of the kitchen table
To solve this, we simply multiply the scale dimensions by 40
[tex]Length = 4cm * 40[/tex]
[tex]Length = 160cm[/tex]
[tex]Length = 1.6m[/tex]
[tex]Width = 2.5cm * 40[/tex]
[tex]Width = 100cm[/tex]
[tex]Width = 1m[/tex]
Hence:
The actual dimension is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
What are the reasons?
Given: 3x + 1 = -14; Prove: x = -5
Statements
Answer:
x=-5
Step-by-step explanation:
Statement Reason
3x+1 =-14 Given
3x=-15 Subtraction Property of Equality
x=-5 Division Property of Equality
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.
Answer:
Step-by-step explanation:
?
Answer:
Its 24
Step-by-step explanation:
Solving Absolute Value Equations: Solve 4|x+7|+8=32