Pentagon PQRST is a scale drawing of pentagon ABCDE.
All side lengths of pentagon ABCDE are 5 except side BC is 6. All side lengths of pentagon PQRST are 2.5 except side QR is labeled x.
What is the value of x?
Answers
Answer:
x = 3
Step-by-step explanation:
Pentagon PQRST is a scale drawing of pentagon ABCDE.
Therefore, scale factor = [tex]\frac{\text{One side of pentagon PQRST}}{\text{One side of pentagon ABCDE}}[/tex]
= [tex]\frac{QR}{BC}[/tex] Or [tex]\frac{SR}{DC}[/tex]
Ratio of the sides will be same,
[tex]\frac{QR}{BC}=\frac{SR}{DC}[/tex]
[tex]\frac{x}{6}=\frac{2.5}{5}[/tex]
x = [tex]\frac{6}{2}[/tex] ≈ 3
Therefore, x = 3 will be the answer.
Related Questions
The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: Decimal: Percent: %
Answers
Answer:
Fraction = [tex]\frac{19}{50}[/tex]
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = [tex]\frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}[/tex]
= [tex]\frac{38}{100}[/tex]
= [tex]\frac{19\times 2}{50\times 2}[/tex]
= [tex]\frac{19}{50}[/tex]
Decimal form of the shaded area = [tex]\frac{38}{100}[/tex] = 0.38
Percent of the shaded area = [tex]\frac{38}{100}[/tex] = 38%
Answer:
Fraction =
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area =
=
=
=
The decimal form of the shaded area = = 0.38
Percent of the shaded area = = 38%
Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling $7,435,000. The costs associated with each project were: Project 1: $1,245,000 Project 2: $985,689 Project 3: $1,723,000 Project 4: $2,567,054 Project 5: $633,768 How much profit did the company earn?
Answers
Answer:
the Profit earned by the company is $280,489
Step-by-step explanation:
Total Cost of 5 projects awarded = $7,435,000
Cost of Project 1 = $1,245,000
Cost of Project 2 = $985,689
Cost of Project 3 = $1,723,000
Cost of Project 4 = $2,567,054
Cost of Project 5 = $633,768
We need to find the profit earned by the company.
First we need to find Total cost spent on all 5 projects.
It can be found by adding cost spent on all projects.
Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5
Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768
Total cost spent on all 5 projects = $7,154,511
Now we can calculate profit earned using formula:
Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects
Profit earned = $7,435,000 - $7,154,511
Profit earned = $1,280,489
So, the Profit earned by the company is $280,489
What is 25% increase of 12
Answers
Answer:
15 or 3
Step-by-step explanation:
multiply 12 by .25 and you will get 3. that is 25% of 12. add 3 you will get 15.
I didn't know if you wanted to know how much it increased or final answer.
100,000,000 sheep are in a field the farmer says there are 36 acres for each sheep how many acres are there in the field
Answers
Answer:
3,600,000,000
Step-by-step explanation:
if i understood this correctly, you just multiply 100,000,000 by 36 and you're done
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Answers
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
For 15 please help
will mark as branliest
Answers
Answer:
c
Step-by-step explanation:
A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.
Answers
Answer:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
Step-by-step explanation:
Given that:
The population mean μ = 12
By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:
[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]
This is a two-tailed test.
send helpppppppppppp
Answers
Answer:
right bottom
Step-by-step explanation:
Need help ASAP!!!The measures of angles of a triangle are shown in the figure below.Solve for x
Answers
Answer:
54
Step-by-step explanation:
90 + 36 = 126
180-126= 54
A light bulb consumes 9900 watt-hours in 5 days and 12 hours. How many watt-hours does it consume per day?
Answers
9900 total watts / 132 hours = 75 watts per hour
Since the light bulb consumes 75 watts an hour, we need to multiply 75 watts by 24 hours, to figure out how many watts are consumed in a day.
75 watts per hour x 24 hours = 1,800 watt-hours per day
(6e-3f-3/4) in a equivalent expression
Answers
Answer:
Step-by-step explanation:
(6e-3f-3/4) contains two terms which do not involve fractions and one fractional term (3/4).
We can safely remove the parentheses. Then:
(6e-3f-3/4) => 6e - 3f - 3/4
That is "an equivalent expression."
We could go further and create one equivalent fraction. Multiply the first two terms by 4/4, obtaining:
24e 12f 3 24e - 12f - 3 3(8e - 4f - 1
------ - ------ - ----- => ---------------------- => -------------------
4 4 4 4 4
Other equivalent expressions exist here.
Simplify 5 (3 1/5 +2 4/5−0.6)
Answers
Step-by-step explanation:
l dont understand your question
is it 3 and a fifth or 31/5
you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10
Answers
What is the total area of the figure shown?
8.3 cm
9.5 cm
14.4 cm
12.3 cm
Answers
Answer:
44.5
Step-by-step explanation:
you add up all of the numbers.
Which three lengths could be the lengths of the sides of a triangle?
A. 6 cm, 23 cm, 11 cm
B. 10cm, 15cm, 24cm
C. 22 cm, 6 cm, 6 cm
D. 15 cm, 9 cm, 24 cm
Answers
Answer:
D. 15 cm, 9 cm, 24 cm
Step-by-step explanation:
The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;
---sum of any two smaller sides chosen must be equal to the third side.
Test option A : 6 cm + 11 cm = 17 cm ( 17 cm ≠ 23 cm)
Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)
Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)
Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.
Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm
there are 9 computers and 75 students what is the unit rate of students to computers
Answers
Answer:
8.333333..... on and on
Step-by-step explanation:
What is 2.5 repeating written as a simplified improper fraction?
Answers
Answer:
2.5 equals 23 /9 as an improper fraction or 25 /9 as a mixed number.
Step-by-step explanation:
Consuela wanted to buy a $40 dress but only had $35.
She noticed that the store was having a 20% off sale. Will she
be able to afford the dress for the discount price? Explain why you think she will or will not be able to afford the dress.
Answers
Answer:
yes
Step-by-step explanation:
20% 40 is 8
8-40=32
tax on $32 is $2.56
2.56+32=34.56
34.56<35
the rate of change of function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1. Is function g linear, quadratic or exponential?
Answers
Answer:
We conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
Step-by-step explanation:
We know that the rate of change remains constant for a linear function.
In other words, the rate of change does not change for the entire domain of a linear function.Comparing with the slope-intercept form
The slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change
For example, considering the linear function
[tex]y = 6x + 4[/tex]
Then the average rate of change is 6 over any interval selected.
Therefore, we conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
What is the product of(5)(3)
Answers
Answer:
15
Step-by-step explanation:
just cause
If the Age of a tree was predicted to be 800 years old using the regression equation, y = 4.39x - 6.77, what did the Diameter have to be?
Answers
Answer:125cm
Step-by-step explanation:
the sum of -6 times a number and 17 is greater than or equal to -7
Answers
Answer:
greater
Step-by-step explanation:
the answer is greater
i need help with this
Answers
Answer:
x w1ll b3 with the 4x+19
Step-by-step explanation:
Find the value of x 6x+2-2x=3x+14-x
Answers
Step-by-step explanation:
x will equal 6
hope this helps bro if u need the explanation I'll explain to u if needed
6x + 2 - 2x = 3x + 14 - x
6x - 2x + 2 = 3x - x + 14
4x + 2 = 2x + 14
4x - 2x = 14 - 2
2x = 12
x = 12/2
x = 6
What is the solution of the equation 70 = 1.4y ?
Need this answer ASAP
Answers
Answer:
y=50
Step-by-step explanation:
[tex]70 = 1.4y \\ \div 1.4 \: \: \: \: \: \: \: \: \: \: \: \div 1.4 \\ \\ 50 = y[/tex]
just divide 1.4 on both sides
Point J (-8, -12) is reflected over the x-axis. Where is J?
Answers
Answer:
2,5
Step-by-step explanation:
(x+5)²=81
need help quick
Answers
x-5=positive/negative 9
x=14, and -4
-8+12 divided by 2 + (-14)
Answers
Answer:
-16
Step-by-step explanation:
Answer:
the answer is negitive 12 or -12
URGENT
6. Given a line with slope m=-2 that passes through the point (-3, 4), find the equation of
in standard form.
A. 2x + y - 2 = 0
B.2x -y-2 = 0
C. 2x + y + 2 = 0
D.y = 2x + 2
Answers
Answer:
first write the equation in point-slope form
y - 4 = -2 (x - (-3)) (then, solve the equation to get your answer)
y -4 = -2 (x +3) (use the distributive property)
y - 4 = -2x -6 (add 6 to both sides)
y +2 =-2x (add 2x to both sides)
2x +y +2= 0 (this is your answer)
What is an equation in point slope form of the line that passes through the point (8,5) and has a slope -7?