Answers
Answer:
116
Step-by-step explanation:
Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:
[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]
Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]
Answer:
Angle fgh=116
Step-by-step explanation:
Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:
(2x+20)=(5x-37)
Now we set the equations equal to each other to solve for x
-3x=-57
Divide the -3 by both sides
x=19
Now we have to plug the x into the equations
2(19)+20 and 5(19)-37
Our answer is 58 for both equations
Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.
SO our final answer is 116
(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)
Related Questions
5y+40z what is the factor
Answers
Answer:
the factored form is 5(y + 8z)
Step-by-step explanation:
Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answers
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it
Answers
Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?
Answers
Answer:
10 sheets of paper are striped
Step-by-step explanation: Make a proportional relationship.
20% as a fraction is 20/100
Make 50 into a fraction using a variable. For example, x/50
Cross multiply 20 and 50. That equals 1000.
Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.
Hope this helps!
Factor completely:
–abc –5ac –4ab –20a
Answers
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
https://brainly.com/question/14549998
#SPJ2
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Brad and Laura are playing a board game. In the game, a player rolls two standard number cubes to move his or her game piece along
a path on the board. On the first three turns in the game, both number cubes land on six each turn.
The theoretical probability of rolling a six on both number cubes three times in a row is 1/?
(are/ are not)
Based on the probability of rolling a six on both number cubes three times in a row, Brad and Laura
likely using unfair number cubes.
Answers
Answer:
1/46,656 and Brad and Laura ARE like using unfair number cubes.
Step-by-step explanation:
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
Answers
Answer:
it's answer is 10/-15.........
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answers
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
Which statement describes the system of equations? The system has infinitely many solutions. The system has no solution. The system has one solution The system has one solution
Answers
This is not urgent, so thank you even if you don’t help.
Answers
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
I need help with these questions
Answers
Answer:
segment addition postulate
the second answer is true
Step-by-step explanation:
my teacher taught me this recently
solve for x:
4x-14=-2x+24
Answers
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7
Answers
Plug in missing values to make it a function…. Please help
Answers
Answer:
p = 5
Step-by-step explanation:
Judging from (0,0) and (10,-20) as given in the chart, the function is y = -2x.
Substituting that for the second row, you would get the equation -10 = -2x.
Simplifying, you get x = 5, so the value of p is 5.
Answer:
5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = (-20-0)/(10-0)
= -20/10
= -2
We know the slope and have two points, (0,0) and (p,-10)
-2 = ( -10-0)/(p-0)
-2 = -10/p
Multiply each side by p
-2p = -10
Divide each side by -2
p = -10/-2
p = 5
Jason gets 15 gallons of gas at $3.90 a gallon. 15 gallons gives him 20 miles to the gallon. How many miles can Jason travel on 1 tank of gas?
Answers
8. The sum of two numbers is 52. Find the larger number if their ratio is 1: 3.
Answers
Answer:
39
Step-by-step explanation:
Lets solve for x:
We know the ratio is 1:3
1x+3x = 52
4x = 52
x = 13
Since the ratio is 1:3:
13(3) = 39
13:39
Which makes 39 the larger number
solve for c 11=-1-c/2 and have a bless day
Answers
c=-24.
gdjdjehshsjsjsihshsjsj
Find the perimeter. Simplify your answer.
Answers
Answer:
3a+ 16
Hope this helps!
dose anyone know how to solv ethis??
Answers
no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Instantaneous velocity of particle at 2 minutes is ~
[tex]1 \: \: m/s[/tex]Refer to the attachment for solution ~
distributive property
Answers
Answer:
that's have no answer so sorry
solve pls brainliest
Answers
Answer:
5/2
Step-by-step explanation:
please mark me brainiest
1/10 = 10%
a percent is
[tex] \frac{part}{whole} = \frac{x}{100} [/tex]
If u take 1/10, 10 is one tenth of 100 (10*10=100).
What is the least common multiple (lcm)of 2,3, and 6
Answers
Explanation:
List list the multiples of each value
multiples of 2 = {2, 4, 6, 8, 10, ...}multiples of 3 = {3, 6, 9, 12, 15, ...}multiples of 6 = {6, 12, 18, 24, ...}In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
8.3g of sugar is needed for every cake made. How much sugar is needed for 5 cakes?
Answers
Answer:
41.5g of sugar
Step-by-step explanation:
8.3 x 5
solve the proportion (someone pls help)
Answers
3x=2x+8+15
3x=2x+23
3x−2x=23
You and your friend are selling magazine subscriptions for a fundraiser after W weeks if you have sold (4w+1) subscriptions and your friend has sold (8w+6) subscriptions
Answers
Answer:
(4w+1)-(8w+6)
Step-by-step explanation:
Hope this helps :)
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Answers
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
divide 75 liters in the ratio 12 8 5
Answers
Answer:
According to the question,
[tex]12x + 8x + 5x = 75[/tex]
_____________________
[tex]12x + 8x + 5x = 75[/tex]
[tex]25x = 75[/tex]
[tex]x = \frac{75}{25} [/tex]
[tex]x = 3[/tex]
Now,
[tex]12x = 36[/tex]
[tex]8x = 24[/tex]
[tex]3x = 15[/tex]
So,
75 in the ratio of 12 : 8 : 5 is
36, 24 and 15
Answer:
36 : 24 : 15
Step-by-step explanation:
sum the parts of the ratio, 12 + 8 + 5 = 25 parts
Divide the quantity by 25 to find the value of one part of the ratio
75 l ÷ 25 = 3 l , then
12 parts = 12 × 3 = 36 l
8 parts = 8 × 3 = 24 l
5 parts = 5 × 3 = 15 l
What is the slope of this line?
−15
15
5
−5
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair
Answers
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
B. [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
solve the equation −4(m+6)=−8
Answers
.,........................
Given the graph below, which of the following could be the quadratic equation?
A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly
Answers
Answer:
only D as the correct answer
Step-by-step explanation:
The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.
A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.
This leaves only D as the correct answer.