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].
5 - ( m - 4 ) = 2m + 3 ( m -1 )
Answer:
m=2
Step-by-step explanation:
A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?
A)216cm2
B)304cm2
C)324cm2
D)328cm2
Answer:
324 cm²
Step-by-step explanation:
→ Work out perimeter of square
72 + 72 + 72 + 72 = 288
→ Work out the width of the rectangle
288 - (90 × 2) = 108
108 ÷ 2 = 54
→ Work out area of square
72 × 72 = 5184 cm²
→ Work out area of rectangle
90 × 54 = 4860 cm²
→ Minus the areas from each other
5184 cm² - 4860 cm² = 324 cm²
Answer:
C) 324cm²
Step-by-step explanation:
1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)
2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)
3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle
4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)
5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)
Write the equation of the line with the given slope and y Intercept.
m=0 b = -11
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728
Answer:
19200
brainliest if correct
Explanation
12% of 120,000 = 14400
14400x7 = 100800
120,000 - 100800 = 19200
Evaluate the expression when a=−2 and b=3.
ab=
Answer:
ab = -2 * 3 = -6
Step-by-step explanation:
What is the constant for 5c2+7d
Answer:
2
Step-by-step explanation:
5 and 7 are the coefficients if you need them
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42
a) 1:3
b) 1:3
c) 1:3
d) 1:3
e) 2:3
f) 2:3
g) 3:4
h) 31:42
Step-by-step explanation:
3:9=1:3
12:36=1:3
13:39=1:3
71:213=1:3
142:213=2:3
38:57=2:3
33:44=3:4
the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4
ft, and the width is
81
1/4
ft. If the fence is
3/4
finished, how much fencing is left to complete?
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Answer:235.5
Step-by-step explanation:
75 3/4= 75.75 (L). 81 1/4= 81.25 (W)
Perimeter= 314 3/4 of 314 is 235.5
Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?
5(9+4)
9(5)+20
5(11+4)
4(5+5)
Marcos reads 3 1/2 books in 1 3/4 weeks. At this rate, how many books does Marcos read in 1 week
majorly confused about this and how to solve.
Answer:
The answer is 59.5
Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple
Answer:
[tex]\dfrac{6x+2}5}[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]
We need to write the equivalent expression for the above expression.
Taking like terms together,
[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]
So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].
help me plz its algebra 1
Answer:
C. x > -7 and x <= 3
Step-by-step explanation:
-3 < x + 4 <= 7
Subtract 4 from the three expressions.
-7 < x <= 3
-7 < x means x > -7.
Then you have x <= 3.
Answer: C. x > -7 and x <= 3
A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
Answer:he has a 44% free throw rate
Step-by-step explanation:
a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50
Answer:
Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Step-by-step explanation:
Please help me 19 points for whoever answers number 3
The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Which of the following best describes the slope of the line below?
Answer:
c.positive
Step-by-step explanation:
Which one is correct please hurry..the audio is just reading the question
Answer:
3/29
Step-by-step explanation:
Step-by-step explanation:
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Does the sum of -21 and 12 equal 0?
The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east
Answer:
b
Step-by-step explanation:
Answer:
4 miles west
Step-by-step explanation:
Help please ASAP please I’ll mark you as brainlister
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
A standard die is rolled twice find each probability.
Answer:
1/6
Step-by-step explanation:
Because u have a 1/6 chance of getting any of the numbers
which expression shows the correct way to expand (6x-6)^2?
Answer:
[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]
Step-by-step explanation:
Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.
[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]
Write the ratio as a fraction in simplest form.
51:9
Answer:
The ratio of 51:9 in it's simplest form is 17:3.
HELPPP PLEASE THIS IS DUE IN 20 MINUTES, GIVE ME THE ACTUAL ANSWERS OR ELSE I WILL REPORT
Answer:
Step-by-step explanation:
1.
2.
3.
Selecting an SUV with a blue exterior?
Answer:
good choice in vehicle!
Step-by-step explanation: