In a rectangle FGHI, diagonals FH and GI intersect at E
What is the length of FH?
Answers
Answer:
The length of [tex]\overline {FH}[/tex] is;
D. 38 units
Step-by-step explanation:
The given parameters are;
The type of the given quadrilateral FGHI = Rectangle
The diagonals of the quadrilateral = [tex]\overline {FH}[/tex] and [tex]\overline {GI}[/tex]
The length of IE = 3·x + 4
The length of EG = 5·x - 6
We have from segment addition postulate, [tex]\overline {GI}[/tex] = IE + EG
The properties of a rectangle includes;
1) Each diagonal bisects the other diagonal into two
Therefore, [tex]\overline {FH}[/tex] bisects [tex]\overline {GI}[/tex], into two equal parts, from which we have;
IE = EG
[tex]\overline {GI}[/tex] = IE + EG
3·x + 4 = 5·x - 6
4 + 6 = 5·x - 3·x = 2·x
10 = 2·x
∴ x = 10/2 = 5
From which we have;
IE = 3·x + 4 = 3 × 5 + 4 = 19 units
EG = 5·x - 6 = 5 × 5 - 6 = 19 units
[tex]\overline {GI}[/tex] = IE + EG = 19 + 19 = 38 units
[tex]\overline {GI}[/tex] = 38 units
2) The lengths of the two diagonals are equal. Therefore, the length of segment [tex]\overline {FH}[/tex] is equal to the length of segment [tex]\overline {GI}[/tex]
Mathematically, we have;
[tex]\overline {FH}[/tex] = [tex]\overline {GI}[/tex] = 38 units
∴ [tex]\overline {FH}[/tex] = 38 units.
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Answer:
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What is the sum of angles in a triangle and circle
Answers
The sun of the 3 inside angles of a triangle = 180 degrees.
A circle = 360 degrees.
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Answer:
3 angles in a triangle add up to 180
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A bag contains 5 milk and 13 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
P(milk)
=
P(not milk)
=
Answers
Answer:P(milk) 5/18 - 27% ----------- P(not milk) 13/18- 73%
Step-by-step explanation:
total chocolates in the bag= 18 (5 milk chocolates + 13 dark chocolates= 18 chocolates in total)
to find percentages divide numerator by denominator ( 5/18 = 27%) (13/18=73%)
P(milk) - 27% chance you will get milk chocolate
P(not milk) 73% chance you will get dark chocolate
It is more likey to get dark chocolate
Solve the system by graphing and find the number of each item Abbie purchased
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Answer:
instructions unclear
Step-by-step explanation:
David and Denise share n pears in the ratio 4:9. If n = 39 how many pears does David have?
Answers
Answer:
David has 12 pears.
Step-by-step explanation:
4 + 9 = 13
39 / 13 = 3
3 x 4 = 12
3 x 9 = 27
if x and y varies directly as each other and x = 4 when y = 16. find y when x = 9
Answers
!Help !
Joelene goes to bed three hours after dinner. Yesterday, after dinner, she spent 1 ½ hour on her homework and ⅔ of an hour on the telephone. Home much time did she have left before bedtime?
Answers
Answer:
50 minutes
Step-by-step explanation:
she spent 1 hr and 30 minutes on homework
she spends 2/3 of an hour on the phone = 40 minutes
1 hr 30 min + 40 minutes = 2 hrs and 10 min
so she had 50 minutes to kill before bedtime since she goes to sleep 3 hrs after dinner
2hr 10 min + 50 min = 3 hrs.
Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.
Answers
middle, many
top right, one
bottom left, none
if you extend the top and bottom left graphs, they won’t intercept. but if u extend the middle graph, they always intercept. and the top right graph only intercepts once
One student did an experiment of the rock cycle. The steps of the expirement are shown below what does the students experiment most likely demonstrate about the rock cycle
Answers
The given question is incomplete. The complete question is :
One student did an experiment on the rock cycle.
The steps of the experiment are shown below.
Collect five pieces of wax of different colors.
Use a plastic knife to scrape off thin shavings of the pieces of wax.
Pile the wax shavings of different colors one over the other.
Hold the pile of wax shavings in the palm and squeeze it for two to three minutes. Fold the pile and squeeze it in the palm again for a minute.
What does the student's experiment most likely demonstrate about the rock cycle?
a. Weathering can change igneous rocks into sediments.
b. Weathering can change metamorphic rocks into sediments.
c. Heat and pressure can change igneous rocks into metamorphic rocks.
d. Heat and pressure can change sedimentary rocks into metamorphic rocks.
Answer: Option D
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The igneous rocks on weathering forms sediments which on cementation and compaction gets converted into sedimentary rocks. Then sedimentary rocks under tremendous heat and pressure gets converted into metamorphic rocks.
These processes takes millions of years to gets converted from one rock form to another.
Here, in the experiment wax shavings of different colors one upon another shows that they are sedimentary rocks and pressing it between palm or hand shows that heat and pressure is applied on it. This shows the conversion of sedimentary rocks into metamorphic rocks.
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What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?
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Which simplified ratio correctly compares 12 yards to 20 feet?
3:5
5:3
5:9
9:5
Answers
Answer:
3 to 1
Step-by-step explanation:
its
Is ✓ 2 a rational or irrational?
Answers
Answer:
[tex]\sqrt{2}[/tex] is a irrational number
2 is irrational
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Answers
can someone help me please?
Answers
Answer:
90.6
Step-by-step explanation:
89.7 + 92.6 + 83.9 + 96.2=
362.4
362.4 divided by 4 =
90.6
Colin was thinking of a number. Colin doubles it, then adds 9 to get an answer of 95.4. What
was the original number?
Answers
Answer:
43.2
Step-by-step explanation:
Set up an equation to model the situation;
2x + 9 = 95.4
"x" represents the unknown number. 2x is present because the number is double. 9 is added because the problem says that Colin added 9. This is set equal to 95.4, because the result attained is 95.4.
Solve the equation using inverse operations;
2x + 9 = 95.4
-9 -9
2x = 86.4
/2 /2
x = 43.2
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Answers
Carlos is five years older than twice his sister's age. Carlos is 13. Which equation and solution correctly identifies his sister's age?
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2x + 5 = 13; x = 4
2x - 5 = 13; x = 4
2x + 5 = 13; x = 9
Answers
Answer:
B
Step-by-step explanation:
x=4 so
2x4=8
8+5=13
Carlos's sister is 4 years old, therefore it is B.
Answer:
B
Step-by-step explanation:
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Answers
Answer: X=86
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will mark brainliest
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3x + 3y = 9
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Answers
Answer:x = y = 3 x + 3 y = 9 = 5 x + 4 y = 10 =
Step-by-step explanation:
-6.2f + 2.9f - 22 - 4= __ f -26
Answers
Answer:
-3.3f
Step-by-step explanation:
-22+-4=-26, that's why there is -26 at the end.
-6.2f+2.9f=-3.3f
-3.3f-26
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Please give brainliest, thank me and rate it 5. :)
What is the y-intercept of y
- 2x + 6?
Choose 1 answers
(6,0)
B
(0,6
(-2,0)
(0, -2)
Answers
Answer:
(0,6)
Step-by-step explanation:
[tex]1 \times \frac{1}{4} - \frac{3}{20} (4 \times \frac{1}{3} - 2 \times \frac{1}{2} ) \times 5[/tex]
Answers
Answer:
[tex]1 \times \frac{1}{4} - \frac{3}{20} (4 \times \frac{1}{3} - 2 \times \frac{1}{2} ) \times 5 \\ \frac{1}{4} - \frac{3}{4}( \frac{4}{3} - 1) \\ \frac{1}{4}- \frac{3}{4} ( \frac{1}{3} ) \\ \frac{1}{4} - \frac{1}{4} \\ \boxed{0}[/tex]
0 is the right answer.A company offers a renters insurance policy that costs a customer $70 per year, and the company will
make a payout of $10,000 to the customer if they are victim to theft in that year. The company set this
price based on the probability of a theft in the area being 0.002. Let X represent the company's profit
from one of these policies. The table below displays the probability distribution and summary statistics for
X
Theft
No theft
X = profit ($) 70
P(X)
0.998
-9,930
0.002
Mean:
Hex = $50
Ox $447
Standard deviation:
The company is considering increasing the price of this policy by an additional $10. Let Y represent their
profit from one of these higher-priced policies.
What are the mean and standard deviation of Y?
Lly =
dollars
or
dollars
Answers
Answer:
My= 60
Oy=447
Step-by-step explanation:
Answer: μY = 60 dollars
σY ≈ 447 dollars
Step-by-step explanation:
A ___________ is used to change from one unit to another.
Answers
6x + 4 = 5x+17 + 120
need this answerd ASAP pls! thank u!
Answers
Answer:
x = 133
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
6x + 4 = 5x + 17 + 120
Step 2: Solve for x
Combine like terms: 6x + 4 = 5x + 137Isolate x terms: x + 4 = 137Isolate x: x = 133Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(133) + 4 = 5(133) + 17 + 120Multiply: 798 + 4 = 665 + 17 + 120Add: 802 = 682 + 120Add: 802 = 802Here we see that 802 does indeed equal 802.
∴ x = 133 is the solution to the equation.
Colette loves to get manicures with her mom. In the past year, however, her mom has had 5 manicures for every 3 Colette has had. If Colette's mom has had 4 more manicures than Colette in the past year, how many manicures has Colette had?
Answers
Answer:
Collette had 6 manicures done last year.
Step-by-step explanation:
Since Collette's mom has 67% more manicures than Collette (2 more for every 3), and that difference represented 4 manicures in total, then:
let x be the number of manicures that Collette had during last year.
4 / x = 2/3
2x = 12
x = 6
I'm sorry if this is confusing but I really need the help...
45x^6y^-5 / 3x^4y^2 x 5x^-4y^-6
Answers
Answer:
I hope I got it correct
Step-by-step explanation:
In ΔWXY, if m∠W is five less than three times m∠Y and m∠X is 8 more than m∠W, find the measures of each angles?
Answers
Answer:
∡W = 73°
∡X = 81°
∡Y = 26°
Step-by-step explanation:
let 'y' = measure angle Y
let '3y - 5' = measure of angle W
let '3y + 3' = measure of angle X
add all together and set equal to 180
y + 3y + 3y - 2 = 180
7y = 182
y = 26
substitute 26 for y in '3y+3' to find measure of angle X
substitute 26 for y in '3y-5' to find measure of angle W
the sum of k and 141
Answers
Answer:
k + 141
Step-by-step explanation:
the sum means addition .
hope this helps !
Solve for the variable.*
-a + 3a =10
A. {-9}
B. {5}
C. {-11}
D. {2}
Answers
Answer:
5
Step-by-step explanation:
-a+3a= 10
2a=10
a=10/2
a=5
ax+3x=bx+5 please solve for X
Answers
Answer:
x = 5 / (a+b+3)
Step-by-step explanation:
ax+3x=bx+5
x = 5 / (a+b+3)