Answers
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
The measure of angle ∠DBC is,
⇒ ∠DBC = 35.5°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Point D is in the interior of ∠ABC.
And, ∠ABD = (3x + 22)°
⇒ ∠DBC = (x - 4)°
Clearly, Both angle make a linear pair.
Hence, We get;
⇒ ∠ ABD + ∠DBC = 180°
⇒ (3x + 22) + (x - 4) = 180°
⇒ 3x + 22 + x - 4 = 180
⇒ 4x + 18 = 180
⇒ 4x = 180 - 18
⇒ 4x = 162
⇒ x = 162/4
⇒ x = 40.5
Hence, The measure of angle ∠DBC is,
⇒ ∠DBC = (x - 4)°
⇒ ∠DBC = (40.5 - 4)°
⇒ ∠DBC = 35.5°
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Related Questions
Is the situation continuous or discrete?
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Answer:
continuous
Step-by-step explanation:
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Step-by-step explanation:
The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
Answers
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
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Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
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2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
Which statement best describes the relationship in the table?
A
The number of minutes is proportional to the number of pages, with a unit rate of
1.5 minutes per page.
B. The number of minutes is proportional to the number of pages, with a unit rate of
2.25 minutes per page.
C. The number of minutes is proportional to the number of pages, with a unit rate of
4.5 minutes per page.
D. The relationship in the table is not proportional.
Answers
Answer:
B
Step-by-step explanation:
change in y-values is a constant 4.5
change in x-values is a constant 2
4.5/2 = 2.25/1 [this means 2.25 minutes per page]
24. BLOCKS Building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x centimeters, where x is the length of the packaging box. What is the volume of a building block in terms of x?
Answers
Answer:
x³
Step-by-step explanation:
Given that length of packaging box = length of block = x
The volume of a box is given as : a³
Where a is the side length ;
In this scenario, x = a
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Answer:
Step-by-step explanation:
11728x6
cm3
In the following equation, what number represents the y-intercept?
y = 2x – 10
1) 0
2) -1
3) 2
4) 10
Answers
Answer:
4) 10
Step-by-step explanation:
The number with x is slope and the other number is y-intercept so it's 10
The y-intercept of y=2.5^x-6
Answers
Answer:
-6
Step-by-step explanation:
-6 is the y-intercept :)
The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP
Answers
Answer: 3.13
Step-by-step explanation:
Please help I don’t understand
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Answer:
QS is a triangle. Because QS are connected and split down the middle which made a triangle.
Step-by-step explanation:
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answers
Answer:
4
Step-by-step explanation:
this one is an easy relationship- if you have double the time (18 vs9), then you need half the workers (8/2)
Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?
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A turtle travels mile in hour. At this rate, how far can the turtle travel in an hour
1/18 mile
2/9 mile
4 1/5 miles
4 1/2 miles
Answers
Answer:
4 1/2
Step-by-step explanation:
The origional question is ¨A turtle travels 1/2 mile in 1/9 hour. At this rate, how far can the turtle travel in an hour¨ To be honest i have no clue how to explain it but that is the awanser.
The turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Given that, a turtle travels 1/2 mile in 1/9 hour. we need to find, at this rate, how far can the turtle travel in an hour.
We will solve this by using proportionality, since, rate is constant,
Let the turtle travels x miles in an hour,
Therefore,
x / 1 = (1/2) / (1/9)
x = 1/2 × 9
x = 9/2
x = [tex]4\frac{1}{2}[/tex]
Hence, the turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
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Answers
Answer:
IDEK
Step-by-step explanation:
Answer: i d k
Step-by-step explanation:
Vanessa bought some cupcakes and brownies at the school bake sale.
She bought 25 items in total and spent $40.
Each cupcake costs $2 and each brownie costs $3.
Answers
Answer:
6 brownies and 2 cupcakes.
Step-by-step explanation:
find the value of x in the triangle shown below
x =____
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Answer:
x = 96
Step-by-step explanation:
x = 180 - (34 + 50)
x = 180 - 84
x = 96
You are smart, remember that! You just have a little trouble with this problem, that's all!
Hope that helps!
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The volume of the rectangular prism is ___ cubic units.
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Answer:
144 cube units
Step-by-step explanation:
volume = width*height*length
V=12*3*4
V=144 cube units
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Un sure on this if someone could answer would be great !
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Answer:
x= 5/2 x= (±sqrt13)/2
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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Answer:
c
Step-by-step explanation:
sum of two numbers x and y is 140
x+y=140
the difference between x(the larger number) and y( smaller number)
x-y=32
Answer:
a
Step-by-step explanation:
Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1
Answers
i need help quickly guys
Answers
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Pythagorean Formula:
a² + b² = c²
Given:
a = 3
b = 4
Work:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c² = 25
[tex]\sqrt{c^2} =\sqrt{25}[/tex]
c = 5
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answers
Answer:
Your roots are equal to 16
find the value of given expression
[tex] \sqrt{65 \times 65} [/tex]
Answers
Answer:
[tex]\huge \colorbox{blue}{65}[/tex]Step-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:order of PEMDAS
parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:simplify multiplication:
[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]
use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:
[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]
as we know x¹=x
therefore our final answer is
65Answer:
[tex]65[/tex]
[tex] \sqrt{65 \times 65} \\ = 65[/tex]
Mark is making a model tent for his project,
the area of the base is 56 square inches.
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for the volume of the tent? A-756 inches, B-
745 inches, C-1500 inches, D-800 inches?
Answers
Answer:
756 inches
Step-by-step explanation:
1. you have to multiply 27 by 56 and there's your answer.
Determine the equation of the line based on the graph.
(write in slope-intercept form)
Submit
Answers
Answer:
5/2
Step-by-step explanation:
rise over run | you rise up 5 everytime and you go right 2 everytime
if m=2 , find the value of 5-m
Answers
Answer:
5 - 2 = 3
Step-by-step explanation:
Replace m with 2 since m=2
Answer:
3
Step-by-step explanation:
If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.
(10-x)(3x -9)=0
NEED HELP ASAP
Answers
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10
Work out the size of angle x.
38°
х
101°
Answers
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
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PLEASE EMERGENCY THAN YOU
Answers
Answer:
135°Step-by-step explanation:
This is a cyclic quadrilateral.
It has a property of opposite angles being supplementary.
A and C are supplementary angles:
3x + 6 + x + 2 = 1804x + 8 = 1804x = 172x = 43m∠A = 3x + 6 = 3*43+ 6 = 135°
Answer:
<A=135°
Step-by-step explanation:
3x+6+x+2=180
sum of two opposite angle of the cyclic quadrilateral is 180
4x=180-8
x=172/4=43°
<A=3×43+6=135° is your answer
Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answers
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. After how many
seconds does the ball hit the ground?
0-1 sec
O 2 sec
O 4 sec
0 1.5
Answers
for the ball to get to the ground the h=0 no hight it is now in the base point.
substitute the value t=0 into the equation we get 64.
since we want to know the time in seconds then we should subtract 60 from 64 (64-60=4)
then my answer is 0-4.
I'm not sure it's correct just wait for others to respond