Answers
Step-by-step explanation:
Hello,
Firstly just look to triangle BDE,
Here, you will find that,
140° = y+80° {the exterior and opposite interior angle of a triangle is equal}.
or, y= 140°-80° {shifting 80° to another side and subtracting it.}
Therefore, the value of y is 60°.
now, let's simply work with line EB or EG. we get;
angle GEF + y=180° { being a linear pair}.
or, angle GEF + 60°= 180°
or, angle GEF = 180°-60°
Therefore, the value of angle GEF = 120°.
now, looking in triangle EFG, we get;
angle GEF + 35°+x= 180° { the sum of interior angle of a triangle is 180°}.
or, 120°+35°+ x= 180°
or, x= 180°- 155°
Therefore, the value of x is 25°.
now, lastly finding the value of "z"
We find that x= z {being vertical opposite angle}
or, z =25°
Therefore, the value of z is 25°.
So, the values are,
x=25°
y=60°
and z= 25°
Hope it helps...
Related Questions
You want to build supports at each end of a table in the shape of a triangle. What type of triangle would you use to act as the supports: acute, right, or obtuse? Why?
Answers
Answer:
obtuse
Step-by-step explanation:
because obtuse triangle would provide more support that acute or right as its bigger.
What are the domain and range of the function? f(x)=−4x√x
Answers
Answer:
Domain x ≥ 0 Range y ≤ 0
Step-by-step explanation:
Answer:
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Step-by-step explanation:
Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For [tex]\sqrt{x}[/tex] to exist, x must be larger than or equal to zero ([tex]x\geq 0[/tex])
So this gives us the description for building the Domain (what is called "set builder notation":
[tex]Domain = \{x\,|\,x\geq 0\}[/tex]
Now for the Range, let's look into all the possible values that these [tex]x\geq 0[/tex] values of x can render:
[tex]x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0[/tex]
but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;
[tex]-4\,x\,\sqrt{x} \leq 0[/tex]
Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:
[tex]Range=\{\,y\,|\,y\leq 0\}[/tex]
Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?
Answers
Answer:
27500
Step-by-step explanation:
meters are 100 times more than kilometers hope this helps:)
Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.
Answers
Answer:
A
Step-by-step explanation:
Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.
Answer: Correct
Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.
Step-by-step explanation: No clue:)
A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft
Answers
Answer:
Hey there!
1 gallon=400 square feet
2 3/8 gallon= 400 (2 3/8) square feet
2 3/8 gallon= 950 square feet.
Let me know if this helps :)
Help wanted ill do brainliest!!
Answers
Answer:
x=-1
Step-by-step explanation:
0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )
- Distribute 0.5 by 5 and -7x
2.5 - 3.5x = 8 - ( 4x + 6 )
Second- Distribute the invisible one into 4x and 6
2.5 - 3.5x = 8 - 4x - 6
- Combine like terms: Subtract 6 from 8
2.5-3.5x= - 4x + 2
-Add 4x from both sides of the equation
2.5 + 0.5x = 2
-Subtract 2.5 from both sides of the equation
0.5x = 2- 2.5
0.5x = -0.5
-Then divide each side by 0.5x
0.5x = -0.5
0.5 0.5
-Cancel the common factor of 0.5
x = - 0.5
0.5
-Divide -0.5 by 0.5
X = -1
There are three squares inside the triangle . Find the area of the third triangle with steps , please
Answers
Answer: 49 cm^2
Step-by-step explanation:
The length of the small pink square box will be:
L^2 = 9
L = sqrt( 9 )
L = 3
The length of the big pink square box will be:
L^2 = 16
L = sqrt( 16 )
L = 4
The length of the yellow square box will be:
4 + 3 = 7
The area of the third square box will be
A = 7^2
A = 49 cm^2
Ken has 86 feet of fencing , to make a vegetable garden . Which design below will give ken the largest garden ?
Answers
Answer:it’s the top right box
Step-by-step explanation: what I did was I added 24+24 and 19+19 which gives you 86ft
Answer:It is left side 21ft and top 22ft Step-by-step explanation:
1 7/16 - 1 1/6
Any step by step explanations? I need help.
Answers
Answer:
13/48
Step-by-step explanation:
1 7/16 - 1 1/6
Make improper fraction
23/16 - 7/6
Common Denominator
69/48 - 56/48
Subtract
13/48
Hope that helped!!! k
Answer:
13/48
Step-by-step explanation:
1 7/16=1+7/16
1 1/6=1+1/6
So: 1 7/16 - 1 1/6=
1+7/16-(1+1/6)=
1+7/16-1-1/6=
7/16-1/6= (48 common denominator)
(7×3-8)/48=
(21-8)/48=
13/48
What types of concurrent constructions are needed to find the orthocenter of a triangle? A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint B. intersection of the lines drawn to bisect each vertex of the triangle C. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
Answers
Answer:
intersection of the lines drawn to bisect each vertex of the triangle
Step-by-step explanation:
trust
when a 200 g solution A and 400g of saline solution B are mixed a 6% salt solution is created also when a 400g of saline solution A and 200g of solution B are mixed 7% salt is created find what percent concentration of saline and saline b solution are
Answers
Answer:
A = 8%, B = 5%
Step-by-step explanation:
Let
a=concentration of solution A (in percent)
b=concentration of solution B (in percent)
Given
2a+4b = 0.06*(2+4) ...........(1)
4a+2b = 0.07*(4+2) ...........(2)
2(1) - (2)
4a-4a +8b-2b = 6 (2*0.06-0.07)
6b = 6(0.05)
b = 0.05 .............(3)
Substitute (3) into (1) and solve for a
2a+4(0.05) = 0.36
2a = 0.16
a = 0.08
Can you help me solve this problem & write my answer in simplest radical form.
Answers
Answer:
18
Step-by-step explanation:
30-60-90 triangles have a set of x values that you can plug your numbers into.
we know that the side length opposite to 30 is x
the side length opposite to 60 is xsqrt3
the side length opposite to 90 is 2x
from this we can gather that y=2x where x=9 therefore y=18
If a+8√5b = (8+√5)÷(8-√5) + (8-√5)÷(8+√5)
Answers
Answer:
3 or at least i think
Step-by-step explanation:
Answer:
a= 138/59 - 8√5b B=69√5/1180 - a√5/40
Step-by-step explanation:
yuh
.You deposit $200 in an account earning 3.5% simple interest. How long will it take for the
balance of the account to be $221?
Answers
Answer:
3 times the percent for the balance to be $221
Step-by-step explanation:
36. What is the solution to x+3 = -6?
HELP! answer if you can!
Answers
Answer:
x = -9
Step-by-step explanation:
subtract 3 from both sides
x = -9
Answer:
x = -9
Step-by-step explanation:
x + 3 = -6
Subtract 3 from both sides.
x + 3 - 3 = -6 - 3
x = -9
What is the inverse of the function h(x)=5/2x+4 h^{-1}(x)=
Answers
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]
Thank you.
find the number whose 13% is 65.
Answers
Answer:
500
Step-by-step explanation:
A = the unknown number that we need to find
A x 13/100 = 65
=> A x 13 = 6500
=> A = 6500 / 13
=> A = 500
13% of 500 is 65.
Let's check whether the answer is correct or not.
=> 500 x 13/100
=> 5 x 13
=> 65.
So, the number whose 13% is 65 is 500
Answer:
Step-by-step explanation:
Let the number be x,
Then,
13% of x =65
Or, 13/100 of x =65
Or,x=6500/13
:.x=500
[tex]2x {}^{2} + 10x - 72[/tex]
What is the factor
Answers
Answer:
2(x-4) (x+9)
Step-by-step explanation:
PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.
Answers
Answer:
$5,000 per week
Step-by-step explanation:
Ruri is a 30 year old female.
there are about 4 weeks per month
there are about 52 weeks per year
52*5000 = 260,000
She would get 260,000 per year and lets see how much she would have at 40.
260,000*10
at 40 she would have 2,600,000
2,600,000*10
at 50 she would have 26,000,000
at 50 she already has earned more money that the $20 million.
She should go with the $5000 per week if she would like more money.
The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false
Answers
Answer:
a) true
Step-by-step explanation:
$4.65. >$7.45.
Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)
Answers
Answer:
[tex]D=-5y^2[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle -15y^4=D(3y^2)[/tex]
And we want to find D such that the equation is true.
So, we can divide both sides by 3y². This will yield:
[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]
We can split this into:
[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]
Simplify. Hence:
[tex]D=-5y^2[/tex]
Rewrite the radical expression as an expression with rational exponents. fifth root of x to the power of 9
Answers
Answer:
[tex]x^\frac{9}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{x}[/tex] is the same thing as [tex]x^{\frac{1}{5}}[/tex].
Now if we have [tex]x^{\frac{1}{5}}[/tex] to the power of 9, the exponents are multiplied.
[tex]x^{\frac{1}{5} \cdot9} = x^{\frac{9}{5} }[/tex].
Hope this helped!
28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and
distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?
Answers
Answer:
2 1/3 cupcakes
Step-by-step explanation:
A cupcake can make 3 four cups of flour
In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes
= 56/24 = 2 1/3 cupcakes
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
Answers
Answer:
4 and 34/63
Step-by-step explanation:
we know that he has to walk 8 and 2 thirds of an kilometer to school. so far he has ran 1 10/11 of a kilo.
To solve this you would have to divide 8 2/3 by 1 10/11.
you would have to make them into improper fractions so 26/3 divided by 21/11
your answer will be 4 34/63
Alan covers he distance by walking is 6+25/33 km.
what is distance?distance is a scaler quantity which means it only have magnitude and no direction if any person or any thing moves from place A to B then it will show the distance between A and B
Given that Alan's school a distance is 8+2/3 km which is 26/3 km,
and he ran one and ten elevenths kilometers
means 1+10/11 = 21/11 km
and walks rest
let distance covered by walking be x
total distance for Alan school = distance covered by running + distance covered by walking
26/3 = 21/11 +x
x = 26/3 - 21/11
x = 223/33 = 6+25/33
Hence rest walking distance for Alan is 6+25/33
Learn more about Distance
https://brainly.com/question/15317318
#SPJ3
calling all brainly users
Answers
Answer:
The triangles are not similar
Step-by-step explanation:
We can see that TU and EU are equal in length but SU and DU are not hence they are not similar
The length, breadth ND height of box are 32 cm 16cm, 8cm.wht is the maxim length of the string that can be used to measure the sides of the box exactly
Answers
Answer:
8 cm
Step-by-step explanation:
The maximum length of the string will be the greatest common divisor of 32 , 16 , 8
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
GCD = 2* 2 * 2 = 8
The maximum length of the string = 8 cm
3m-2-5n+p terms and coefficients
Answers
Answer: Answers are in the steps.
Step-by-step explanation:
The coefficients are 3, -5, and 1
The terms are, 3m, -2,-5n and p
What is the value of 5^4/5^6
Answers
Answer:
1/25 or 0.04
Step-by-step explanation:
Answer:
0.04
Step-by-step explanation:
5 to the 4th power (5 × 5 × 5 × 5) is 625.
5 to the 6th power (5 × 5 × 5 × 5 × 5 × 5) is 15625.
625/15625 = 0.04.
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b
Answers
[tex] \LARGE{ \underline{ \boxed{ \orange{ \rm{Solution:)}}}}}[/tex]
Given,tan (a + b) = 1.73 [tex]\approx[/tex] √3tan (a - b) = 1 / 1.83 [tex]\approx[/tex] 1 / √3To find:Value of a and b in degrees....?Solution:☃️ Refer to the trigonometric table....
Then, proceeding
⇛ tan 60 ° = √3
⇛ tan 60° = tan (a + b)
⇛ 60° = a + b
Flipping it,
⇛ a + b = 60° --------(1)
And,
⇛ tan 30° = 1 / √3
⇛ tan 30° = tan (a - b)
⇛ 30° = a - b
Flipping it,
⇛ a - b = 30° ---------(2)
Now adding eq.(1) and eq.(2),
⇛ a + b + a - b = 60° + 30°
⇛ 2a = 90°
⇛ a = 90° / 2
⇛ a = 45°
Putting value of a in eq.(1),
⇛ 45° + b = 60°
⇛ b = 15°
☄ So, Our Required answers:
a = 45°b = 15°━━━━━━━━━━━━━━━━━━━━
PLZ HELP !!!!!! ASAP!!!
Answers
Part (a)
BC = opposite side (furthest leg from the reference angle)
AB = adjacent side (closest leg from the reference angle)
AC = hypotenuse (always opposite the 90 degree angle)
=============================================
Part (b)
i. False. Angle B is 90 degrees as shown by the square angle marker.
ii. False. Side AB is opposite angle C. Note how "C" is part of "BC", so that means we cannot have BC be opposite C.
iii. True. Leg AB is the closer leg to angle A. We have "A" in "AB" to see this without having to draw the diagram. Refer to part (a) above.
iv. False. The longest side of any right triangle is always the hypotenuse. The longest side of any triangle is always opposite the largest angle.
==============================================
Part (c)
cos(theta) = adjacent/hypotenuse = AB/AC
tan(theta) = opposite/adjacent = BC/AB
Refer back to part (a) to determine the opposite,adjacent and hypotenuse side lengths.
==============================================
Part (d)
The reference angle has changed, so the opposite and adjacent sides swap. The hypotenuse remains the same regardless of what reference angle you pick.
sin(C) = opposite/hypotenuse = AB/AC
cos(C) = adjacent/hypotenuse = BC/AC
tan(C) = opposite/adjacent = AB/BC
Note the tangent ratio is the reciprocal of what we found back in part (c).
Answer & Step-by-step explanation:
(a)
The hypotenuse is on line CA (the hypotenuse is always opposite the 90° angle (marked by a little square))
The adjacent is on the line BA (adjacent is next to the given angle, but NOT the hypotenuse)
The opposite is on the line CB (this is opposite the given angle)
(b)
i. false (b is a right angle)
ii. false (the side opposite C is BA)
iii. true
iv. false (the side opposite B is the hypotenuse, and the hypotenuse is always the longest side in a triangle)
(c)
cosine ratio: [tex]cos=\frac{adjacent}{hypotenuse}[/tex]
tangent ratio: [tex]tan=\frac{opposite}{adjacent}[/tex]
The cosine and tangent ratios of the given angle:
[tex]cos0=\frac{AB}{CA} \\\\tan0=\frac{CB}{AB}[/tex]
(d)
Remember SOH-CAH-TOA:
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
Using the angle C, plug in the appropriate sides:
[tex]sinC=\frac{BA}{CA}\\\\ cosC=\frac{CB}{CA}\\\\ tanC=\frac{BA}{CB}[/tex]
:Done
