Answer:
x=13
Step-by-step explanation:
If you're doing Delta Math.
The required value of x is 13 units which is determined by the property of the triangle's interior angles.
The triangle ΔFGH has :
m∠F = (3x-15)
m∠G = (8x+8)
m∠H = (2x+18)
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry
We know that the sum of interior angles is always 180 degrees in the triangles.
As per the property of triangles,
m∠F + m∠G + m∠H = 180°
(3x-15) + (8x+8) + (2x+18) = 180°
Rearrange the terms of variable x in the above equation,
3x + 8x + 2x - 15 + 8 +18 = 180°
13x + 11 = 180
13x = 196
x = 169/13
x = 13
Therefore, the required value of x is 13 units
Learn more about the triangles here:
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Solve the following equations for x.
kx - b=3d + 7b
Answer:
x= 3d/k +8b/k i think
Step-by-step explanation:
I’ll give Brainly! Write a corresponding real-world problem for each equation.
1. 0.55x + 4.50 = 0.65x + 3.50
2. 8x + 80 = 4x + 120
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cone.
Answer:
Step-by-step explanation:
There are several possible outcomes. If your cross section is created by intersecting the cone with a plane parallel to the base of the cone, the cross section is a circle. If the plane is held vertical, the cross section could be a hyperbola. If the intersecting plane is neither vertical nor horizontal, the cross section could be an ellipse.
I can identify and use inverses to solve equations with one variable
Answer:
[tex] \boxed{ y = 10000}[/tex]
Step-by-step explanation:
[tex] \boxed{question \: 1.} \\ log(y) + 100 = 104 \\ log(y) = 104 - 100 \\ log(y) = 4 \\ but \: log(x) = log_{10}(x) \to \\ log_{10}(y) = 4 \\ y = 10 {}^{4} \\ \boxed{ y = 10000}[/tex]
♨Rage♨
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
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Answer: x=4
Step-by-step explanation: first you should write it out like it is telling you. put a line and EG is the line and f is in the middle of the two looks kinda like this E F G but they are on a line EG= 25 that means the whole thing equals 25. EF= 2x-6 and FG= 4x+7. when you plug that in it should look like this 25=2x-6+4x+7 then solve.
Determine which of the following angle measures are correct. Select all the apply
Answer:
The right answer is :
2 (108) and 3 (72)
Step-by-step explanation:
i did the test
The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
What is isosceles triangle?An isosceles triangle is a triangle which is having two sides equal to each other.
How to determine angles?Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.
So,
(4x+16)°+2(5x+7)°=180°
4x-16+10x+14=180
14x-2=180
14x=180+2
14x=182
x=182/14
x=13
Putting the value of x.
∠BCA=5x+7
=5*13+7
=65+7
=72
∠ABC=4x-16
=4*13-16
=52-16
=36
∠BAC=180-36-72
=180-108
=72
∠BCD=180-∠BCA
=180-72
=108°
Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
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Frank ordered a set of beads. He received 70 beads in all. 21 of the beads were green. What percentage of the beads were green?
what is the unit rate of 36 kg in 30 weeks. how many kg per week?
Answer:
1.2 kg
Step-by-step explanation:
30/30=1 + 6/30=1/5 = 1 1/5=1.2
Answer:
12 kg
Step-by-step explanation:
36/30 = 6/5 = 1.2 kg
Thus, 1.2 kg per week
The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)
Answer:
The value is [tex]E(X) = \$ 421.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability that a 22 year old female in US will die within one year is p= 0.00044
The outcome if she dies within one year is that the company losses $30,000
Generally the probability that a 22 year old female in US will live more than one year is
[tex]q = 1 -p[/tex]
=> [tex]q = 1 -0.00044[/tex]
=> [tex]q = 0.99956[/tex]
The outcome if she lives more than one year is that the company gains $435
Generally the the company's expectation is mathematically represented as
[tex]E(X) = -30000 * p + 435 * q[/tex]
The negative sign shows that the company is loosing the fund
So
[tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]
=> [tex]E(X) = \$ 421.6[/tex]
which equation represents a proportional relationship?
Answer:
y = 1 - 1/3x
Step-by-step explanation:
Write in statement form 3x-5=1
Answer:
answer =2
Step-by-step explanation:
x=2
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Find the interest on $900 at 6% for 4 years if the interest is added to the principal at the end of each year. Show your work. PLEASE HELP
Answer:
$1116
Step-by-step explanation:
6% of 900 = $54
54*4 = $216
900 + 216 = $1116
Write 1 ordered pair excluding the y-intercept given the slope and y-int. of this line.
Answer:
y=2/3x+2
Step-by-step explanation:
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
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A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?
Somebody please help me with this question, I couldn’t find any answers to it.
A = nr^2. find the value of A when n = 3.142 and r =5
Answer:
A = 78.55
Step-by-step explanation:
A = nr^2
substitute the n and r values
A = 3.142(5)^2
Use PEMDAS
Parenthesis Exponents Multiply Divide Add Subtract
so the first step is exponents
5^2 is 25
A = 3.142(25)
Multiply
A = 78.55
Make me brainliest plzz and thank you
if sin 15° =x and sin 75° =y then which one of the following correct
Tan 15°=x/y
Tan 75° =x/y
Cot 15°=x/y
75°=y/x
Answer:
tan 75 =x/you is the my answer
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Answer:
A
Step-by-step explanation:
Y
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
[tex]Eligible\ Voters = 21800[/tex]
[tex]Registered\ Voters = 85\%[/tex]
[tex]Voted\ Voters = 60\%[/tex]
Required
Determine the number of voters
First, we need to determine the number of registered voters.
[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]
[tex]Number = 85\% * 21800[/tex]
[tex]Number = 18530[/tex]
Next, we determine the actual voters using
[tex]Voters = \%Voters * 18530[/tex]
[tex]Voters = 60\% * 18530[/tex]
[tex]Voters = 11118[/tex]
Hence, 11118 people voted
7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
is either is either x equals 20 or x equals 12 the solution to X -8 = 4
Answer:
12
Step-by-step explanation:
Answer:
X=12
Step-by-step explanation:
You add 4 and 8 together and get 12
Have a great day
-2(+7)-3(4- 2x).
Help I will give you brainliest who does it first
Answer:
-2(+7)-3(4-2x) simplified = −26+6x
Step-by-step explanation:
1 +1 = ???????????????????????????
Answer:
IT 2
Step-by-step explanation:
factor completely
5x^2-9x-2
Answer:
(5x+1)(x - 2)
Step-by-step explanation:
How many buckets of balls does the golf course need to sell
if 10 course packages are sold?
If 10 course packages are sold, the golf course must sell
buckets of balls.
Check
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Determine if biconditional is true.
A) Felipe is a swimmer if and only if he is an athlete.
The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.
Given:
The equation is
[tex]F=\dfrac{9}{5}C+32[/tex]
To find:
Whether there is a proportional relationship between C and F.
Solution:
If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).
Put F=0 and C=0 in the given equation.
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is not true because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Answer:
korrect
Step-by-step explanation:
it looks right
50 POINTS PLS HELP!!!!
Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?
A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.
C: A segment in the image has the same length as its corresponding segment in the pre-image.
D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.
Answer:
Answer choice C.
Step-by-step explanation:
The graph shows the proportional relationship between the number of sodas you buy and the cost of the sodas. Identify the constant of proportionality and write an equation for the proportional relationship.
A: k=3; y=3x
B: k=2; y=2x
C: k=4; y=4x
D: k=7; y=7x
Answer:
its B.
Step-by-step explanation:
all you have to do is y divided by x to find the constant of proportionality
so it would be two y=2x
