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
Given that 2x/5=3y/8, find the ratio of X:y
Answers
Answer:
[tex]\frac{2}{5} :\frac{3}{8}[/tex]
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.
A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell
Answers
Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Creating a ratio expression thus :
2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75Let :
Pounds of mulch sold = mPounds of gravel sold = gPounds of Mulch sold :
(2.25/3.75) × 180 = 108 poundsPounds of gravel sold :
(1.5 / 3.75) × 180 = 72 poundsHence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Learn more : https://brainly.com/question/25678498
who my fav celeb who ever can guess it close to the name gets brainest
Answers
Answer:
john cena
Step-by-step explanation:
i have no idea lol
What’s the answer for both questions?
Answers
Answer:
id
Step-by-step explanation:
someone help again please !!
Answers
Answer:
a: 2n + 11 = 25
b: 7
Step-by-step explanation:
a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25
2n + 11 = 25
- 11 - 11
2n = 14
2n/2 = 14/2
n = 7
5x-3y=30
7x-3y=36
elimantion method
Answers
Answer:
x = 3 and y = -5
Step-by-step explanation:
[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]
which symbol would best replace the question mark below
Answers
Answer:
C?
Step-by-step explanation:
Suppose that the functions u and w are defined as follows.
u(x)=-x-1
w(x) = 2x+1
Find the following.
Answers
Step-by-step explanation:
I answered this already.
Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form.
Answers
Refer to the attachment
Please dont leave any links
Answers
Answer:
a
Step-by-step explanation:
The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.
Answers
Answer: 7.9inches
Step-by-step explanation:
45.8-14.2=31.6
31.6/4=7.9
Anyone can help me please angone
Answers
Answer:
x is 154 degrees
Step-by-step explanation:
If a line cuts through a set of parallel lines, it is called a transversal.
x and the angle next to 26 degree angle would be corresponding angles.
If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees
x+26 = 180
x = 180-26
x = 154
Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer
Answers
Answer:
Step-by-step explanation:
[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]
primary school has 140 girls and 90 boys.
The probability that a girl wears glasses is 0.4
The probability that a boy wears glasses is 0.3
Estimate the number of pupils wearing glasses in the school.
Answers
Answer:
140*0.4=56
90*0.3=27
56+27=83
Hope This Helps!!!
Answer:
the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses
What are the x and y -intercepts for the equation 5x - 4y = 10
Answers
Answer:
x=2
y= -2.5
Step-by-step explanation:
x int
1.) set y to 0 (5x -4(0)=10
solve for 5x=10
y int
1.) set x to 0
solve for -4y=10
Answer:
x=2, y=-5/2
Step-by-step explanation:
to find the 'x' intercept, set the 'y' value to zero and solve:
5x - 4(0) = 10
5x = 10
x = 2
to find the 'y' intercept, set the 'x' value to zero and solve:
x(0) - 4y = 10
-4y = 10
y = -10/4 or -5/2
A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds
Answers
The velocity of the car is the rate of change of distance over time.
The car comes to a complete stop at 12 seconds
The velocity function is given as:
[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]
When the car comes to a complete stop, V(t) = 0.
So, we have:
[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]
Expand
[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]
Factorize
[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]
Factor out t - 12
[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]
Split
[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]
Solve for t
[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]
This gives
[tex]\mathbf{t =4\ or\ t = 12}[/tex]
12 > 4.
Hence, the car comes to a complete stop at 12 seconds
Read more about velocity and time at:
https://brainly.com/question/19979064
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answers
Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
A photo 5 inches wide and 8 inches long is enlarged. How long is the new photo if it is How wide is the new photo if it is (1)12 inches; (2)20 inches; (3)10 inchs
Answers
Answer:
1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches
Step-by-step explanation:
In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.
Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.
1) If the length is 12 inches, the width is 7.5 inches
[tex]\frac{5}{8} = \frac{x}{12}[/tex]
[tex]60=8x[/tex]
[tex]\frac{60}{8} =x[/tex]
[tex]7.5 = x[/tex]
2) If the length is 20 inches, the width is 12.5 inches
[tex]\frac{5}{8} = \frac{x}{20}[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8} =x[/tex]
[tex]12.5 = x[/tex]
3) If the length is 10 inches, the width is 6.25 inches
[tex]\frac{5}{8} = \frac{x}{10}[/tex]
[tex]50=8x[/tex]
[tex]\frac{50}{8} =x[/tex]
[tex]6.25 = x[/tex]
BRAINLIEST
Please help me do these
Answers
Answer:
1.
a. YU, ZV, WS
b. VU, WX, ST
c. ZW
d. WXY
e. TSW
f. VU, TU, ZY, XY
g. VS, WS, ZV, XW, YZ, ZW
2.
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
Answer:
Step-by-step explanation:
The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answers
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
l=3cm×b=4cm×h=2cm
Can u pls help
Answers
Answer:
24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm
Step-by-step explanation:
3 x 4 x 2 = 12
During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?
Answers
Answer: it should be 70
Step-by-step explanation:
because the re adding of the dollars
1485 x 1.4 = 2079
Pick two 20 points for this question please
Answers
Please solve this math problem... I will mark you brainliest
Answers
Write the equation of the line in fully simplified slope-intercept form
Answers
Answer:
y = - x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
The line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 ← equation of line
The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.
Answers
Answer:
the answer would be 196.25
Step-by-step explanation:
When the marked price and selling price after discount are given write the formula to find the rate of discount.
Answers
Step-by-step explanation:
marked price = 100%
1% = 100%/100 = marked price / 100
discount = marked price - selling price
discount % = discount / 1% =
= (marked price - selling price) / (marked price)/100 =
= 100×(marked price - selling price) / (marked price)
Factorise 2x^2-9x-5 By Splitting The Middle Term.
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \boxed{(2x + 1)(x - 5)}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]2 {x}^{2} - 9x - 5[/tex][tex]2 {x}^{2} - 10x + x - 5[/tex][tex]2x(x - 5) + 1(x - 5)[/tex][tex](2x + 1)(x - 5)[/tex]Some friends played a board game. During the game, one unlucky player had to move 5 spaces 7 turns in a row. Find a number to represent that player’s movements for those 7 turns.
Answers
Answer:
The unlucky player moved 35 spaces after moving five spaces seven turns in a row.
Step-by-step explanation:
Our equation formed is: 7 x 5 = x
=> 7 x 5 = x
=> x = 35.
Therefore, the unlucky player moved 35 spaces.
A shirt is 20% off the sticker price of $34. How much is the discount?
Answers
Answer:
Step-by-step explanation:
you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)