Answers
Given:
[tex]m\angle A=(2x-15)^\circ[/tex]
[tex]m\angle B=(x-5)^\circ[/tex]
[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]
To find:
The [tex]m\angle ABC[/tex].
Solution:
In triangle ABC,
[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]
[tex]148=(2x-15)+(x-5)[/tex]
[tex]148=3x-20[/tex]
[tex]148+20=3x[/tex]
[tex]168=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{168}{3}=x[/tex]
[tex]56=x[/tex]
Now,
[tex]m\angle ABC=(x-5)^\circ[/tex]
[tex]m\angle ABC=(56-5)^\circ[/tex]
[tex]m\angle ABC=51^\circ[/tex]
Therefore, [tex]m\angle ABC=51^\circ[/tex].
Related Questions
Help me please I will give brainliest.
Karris ran eight eighteenths of a kilometer and cycled nine eighteenths kilometers in a race. How many kilometers was the race in all?
(A ) 1 kilometer
(B ) seventeen thirty sixths kilometer
(C ) one eighteenths kilometer
(D ) seventeen eighteenths kilometer
Answers
Answer:
D
Step-by-step explanation:
Race through running: 8/18th's
Race through cycling: 9/18th's
Total race covered is: 17/18th's
-8t = 64
Answer:
t = ?
Answer the ? Mark pls
Answers
Answer:
t= -8
Step-by-step explanation:
-8t= 64
t= 64/-8= -8
hope it helps! please mark me brainliest..
thank you!! have a good day ahead
Answer:
t = -8
Step-by-step explanation:
Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.
-8 x -8 = 64
I hope this helps!
What is 3 2/3 + 4 3/4 equal to
Answers
Answer:
7 2/3 is the answer but it is equal to 23/3.
Step-by-step explanation
23/3 is an improper fraction. I hope this helps you!
Simplify the expression so there is only one positive power for each base.
Answers
i hope you understand
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
Answers
Answer:
x = 5
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1: [tex]\sqrt{3}[/tex] : 2
to find 'x' for the triangle shown, divide the hypotenuse by 2
10/2 = 5
I really need help. I don’t understand
Answers
Answer:
ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.
As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.
If you post the graph ,I will give you full answer
answers for the 2 boxes
Answers
Step-by-step explanation:
y = 4x + 3.
Therefore y = 7 + 3x
=> (4x + 3) = 7 + 3x
=> x = 4.
y = 4(4) + 3 = 19.
The solution pair is (4,19).
The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?
Answers
Answer:
54
Step-by-step explanation:
5*10 = 50
50 * 1.08 = 54
pedro placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $219. the next order for 3 apple tree and 4 azaleas came to $132. what was the unit cost for each apple tree and for each azalea?
Answers
Y= azaleas
6x + 5y = 219
3x + 4y = 132
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
The cost for each apple tree is $24 and fit each azalea is $15
The cost for each apple tree is; $24 and fit each azalea would be; $15.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let consider X = apples trees and Y= azaleas
Therefore, the system of equation is;
6x + 5y = 219
3x + 4y = 132
Solving;
-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15
Now substitute;
6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24
Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.
Learn more about equations here;
https://brainly.com/question/25180086
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What is x/y 2/130 4/100 6/70
pls help
Answers
Answer:
It is inversly proportional, there is no constant, the directio is from left to right and from up to down, as x gets larger, y gets less
Step-by-step explanation:
5(-1x+5)=10 pls help
Answers
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
Step by step
5 ( –1x + 5) = 10
(1) Distribute
= – 5x + 25 = 10
(2) Subtract 25 from both sides of the equation
= –5x + 25 -25 = 10 – 25
(3) Simplify
= –5x = – 15
(4) Divide both sides of the equation by the same factor
= –5x/–5 = –15/ –5
(5) Divide the number
= x = –15/–5
Answer: x = 3
kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?
Answers
If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.
How to find the height?Given data:
kiersten height = 6ft tall
Shadow = 9 feet away
Shadow of tree = 84 feet
The equation that will be use to find the height is 6/9= x/84
Let x represent the tree's height
So, let solve for x
6/9= x/84
Cross multiply:
9x = 6(84)
9x = 504
Divide both side by 9x
x= 504/9
x = 56 feet
Therefore we can conclude that the height of the tree is 56 feet.
Learn more about height here:https://brainly.com/question/1739912
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PLEASE HELP LOL
What is the missing perfect square?
25, 36, 49, _____, 81, 100
A)50
B)58
C)60
D) 64
Answers
Answer:
The answer is D. 64 because after 49 it is 64 (8*8=64 and 7*7=49)
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
The equation of line L, is y= 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.
Answers
Answer:
Step-by-step explanation:
2y=10x-3( i arranged it to make it easier)
y=(10x-3) divided by 2
y=5x-1.5
they are parallel because they have the same gradient/slope number.
8. Jackson bought three CDs. A week later half of all his CDs were
destroyed in a fire. There are now only 24 CDs left. How many did
he start?
Answers
If he started with 48 then half of 48 is 24
Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.
Answers
Answer:
Q= 126°
Step-by-step explanation:
Using the picture given, because these are parallel lines broken by a transversal, we can say the following
M=A=Q=F
B=C=D=G
Since, for example, M and C are the same line, we can say that M+C=180 and so on.
M=Q
Q= 126°
Which Pixar characters do you think were the hardest to bring to the screen, and why?
Answers
What is the value of the expression “two less than six times the difference of a number and five" when n =
22
16
ОООО
32
31
Answers
The line models the temperature starting at noon on an autumn day.
a. Find the y-intercept of the function.
b. What does the y-intercept represent?
please help! (i will insert a picture so you can see the graph)
Answers
Answer:
a) y-intercept (as can be seen) is 50 degrees
b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside
Step-by-step explanation:
SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER
Answers
F(x) = 2
I am pretty sure I hope this helps
“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________
Answers
Answer:
urdykdgjjdtdgdmgkgdzkyjt
Answer:
1. z=kxy
2. 36=k(3)(2)
k=6 is the answer
3. 2=k(4)(3)
k= -6 is the answer
z=kxy z=(-6)(8)(6)
z= -288 is the answer
you always remember that the formula we should use is z=kxy
Write the equation of the line passing through the points (-7,4) and (7,2).
Answers
Answer:
y = -1/7x + 1
Step-by-step explanation:
This could be wrong. But I'm pretty sure
3x + 2x +9 = 10-14
Solve for x
Answers
Answer:
-2.6
Step-by-step explanation:
3x+2x+9=10-14
5x+9=10-14
5x+9=-4
5x=-4-9
5x=-13
x=-13/5
x=-2.6
1.5 x -3 4/5
multiply
Answers
Answer:
I'm pretty sure it's -5.7
−9,000÷3=−3,000 What does -3,000 tell me
Answers
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
Sadie's office had already recycled 13 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 8 kilograms of paper each week. How many weeks will it take Sadie's office to recycle a total of 29 kilograms of paper?
Answers
Answer: 2 weeks
Step-by-step explanation:
The office had already recycled 13 kilograms of paper this year and need to recycle a total of 29.
The number of kilograms left is:
= 29 - 13
= 16 kilograms of paper
Recycling at a rate of 8kg per week, the number of weeks it will take them to reach 16 kilograms is:
= 16 / 8
= 2 weeks
ty-qy+p=r solve for y
Answers
Answer:
[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]
Step-by-step explanation:
In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.
Step 1: Subtract [tex]p[/tex] from both sides of the equation.
[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]Step 2: Factor out the common term [tex]y[/tex] from the left side
[tex]y( t-q ) = r-p[/tex]Step 3: Divide both sides by [tex]t-q[/tex]
[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]Hope this helped!
Look at the point P on the number line.
Which number lines have a point that is equal to point
P? Check all that apply.
р
Answers
Answer:
the answer is A and C
Step-by-step explanation:
yw
=0.4 × 0.3
here's a picture:D
Answers
Answer: The answer is 0.12
Step-by-step explanation:
13 POINTS :( PLEASE HELP WILL MARK BRAINLIEST!!! ITS TIMED PLSSSSSSS
Answers
Answer:
4.8 and 0.6
Step-by-step explanation: