Answer:
30+(2x+7)+63=180(sum of angles of triangle )
30+2x+7+63=180
2x+100=180
2x=180-100
x=80/2
x=40
Answer:
[tex]\boxed {\boxed {\sf (2x+7)+30+63= 180}}[/tex]
[tex]\boxed {\boxed {\sf x=40}}[/tex]
Step-by-step explanation:
We are asked to write an equation to solve for x and use the equation to find x.
We know that the angles in a triangle must add to 180 degrees. Therefore, the sum of the three angles in this triangle: 30, 63, and (2x+7) must equal 180. We can set up an equation.
[tex](2x+7)+ 30 +63= 180[/tex]
Now we can use the equation to solve for x. First, we combine like terms on the left side of the equation. The 3 terms without variables or constants can be added.
[tex]2x+ (7+30+63)= 180[/tex]
[tex]2x+ (100)= 180[/tex]
We are solving for x, so we must isolate the variable. 100 is being added to 2x. The inverse operation of addition is subtraction. Subtract 100 from both sides of the equation.
[tex]2x+100-100= 180-100 \\2x=180 -100 \\2x=80[/tex]
x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac {2x}{2}= \frac{80}{2}[/tex]
[tex]x= \frac {80}{2} \ \\[/tex]
[tex]x=40[/tex]
The equation is (2x+7)+ 30+63= 180 and x is equal to 40.
pls help help help please help
Answer:
z
Step-by-step explanation:
Determine the height in meters of a triangle with an area of 72 square meters and a base of 28 meters.
Step-by-step explanation:
The area A of a triangle is given by
[tex]A = \frac{1}{2}bh[/tex]
where b is the length of the base and h is its height. Solving for h, we get
[tex]h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}[/tex]
[tex]\:\:\:\:= 5.14\:\text{m}[/tex]
Joan bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 40 dollars. How much did each candy bar cost?
Cost of 9candies=40-4=36$
Cost of one candy:-
[tex]\\ \sf\longmapsto \dfrac{36}{9}[/tex]
[tex]\\ \sf\longmapsto 4\$[/tex]
Answer:
Let c = the cost of each candy bar
4 + 9c = 40
subtract 4 from 40
9c = 36
divide 9 from 36
c = $4.00
0.17x0.4 helpppppppp
Answer:
The answer is 0.068.
Step-by-step explanation:
0.17 x 0.4 is 0.068
what is a number to make the comparison true 8.219
Referring to the figure find m∠3
Answer:
Measure of angle 3 = 30⁰
Because vertically opposite angles are always equal
A coat that normally sells for $48.50 is on sale for 12% off. What is the amount of the discount?
Answer:
The discount is 5.82
Step-by-step explanation:
To find the amount of the discount
48.50 * 12%
Change to decimal form
48.50 * .12
5.82
The discount is 5.82
PLEASE HELP giving brainliest
Answer:
choose C
Step-by-step explanation:
tctc6pxpycoyxot ỹoyx5s4
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.
Colton practiced two more hours.
How can you model this situation?
Answer:
One orange x tile
Two orange + tiles
X + 2
look at the insert picutre below
b. 6 +30
rational or irrational?
Answer:
rational
Step-by-step explanation:
sqrt( 6+30)
sqrt(36)
6
6 is rational
2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
answer: 9
Step-by-step explanation:
x = - 4; y = 3; z = 2;2 x² - 2 z^4 + y² - x² + z^4 = = 2 * (-4)² - 2 * 2^4 + 3² - ( -4)² + 2^4 == 2 * 16 - 2 * 16 + 9 - 16 + 16 = = 32 - 32 + 9 - 16 + 16 = 9
50 + (-16) - 5 help me
Answer:
29
Step-by-step explanation:
[tex]50 + ( - 16) - 5[/tex]
[tex]50 - 16 - 5[/tex]
[tex]50 - 21[/tex]
[tex]\boxed{\green{ = 29}}[/tex]
Answer:
The answer is 29.
The quotient of 2 and the sum of a number and 1.The quotient of 2 and the sum of a number and 1.
Answer:
2/x+1
Step-by-step explanation:
Write an addition equation or a subtraction equation (your choice!)
Answer:
4-4=1
Step-by-step explanation:
HELP PLEASE 25 POINTS
Answer:
5kg > 4500g
1000mL = 1L
3L > 2700mL
a particular geography book has 10 chapters aninstructor of seminor wishetocover7 chapter .how many way she can do?
Solve 6x + 3) = 21.
A. x = -3 and x = -4
O B. x = 3 and x = -3
C. X = -3 and x = 4
D. x = 3 and x = -4
Answer:
×=3
Step-by-step explanation:
6x +3) =21
6x=21 - 3
6x/6x=18/6
x=3
REALLY STRUGGLING PLS HELP
giving brainliest
Answer:
Option A
Step-by-step explanation:
v + w
{-9,2} + {1,-6}
{-9 + 1},{2 + (-6)}
{-8}, {2 - 6}
{-8},{-4}
Find the area of the circle use 3.14 for pie do not round your answer
Answer:
Area= 12.56 inches²Step-by-step explanation:
To find the area of a circle: A= πr²A= 3.14 × 2²A= 3.14 × 4A= 12.56 inches²[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
The area is:
12.56 in²Work/explanation:
The formula for the area of a circle is:
[tex]\sf{A=\pi r^2}}[/tex]
Where
A = area
π = 3.14
r = radius
Diagram:
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 2\ in}\end{picture}[/tex]
Plug in the data:
[tex]\sf{A = 3.14 \times 2^2}[/tex]
[tex]\sf{A = 3.14 \times 4}[/tex]
[tex]\sf{A = 12.56\:in^2[/tex]
Hence, the answer is 12.56 in².The generally agreed-upon combination of factors that contribute to modern alcohol use includes:_________
Answer:
People turn to alcohol when they desire to get relief from their anxiety.
PLS HELP GIVING BRAINLIEST
Answer:
(72, 297)
Step-by-step explanation:
1/3v = (-12/3, 15/3) = (-4, 5)
4w = (3(4), 7(4)) = (12, 28)
The sum of these two is (12 - 4, 5 + 28) = (8, 33)
9 times this vector is (8(9), 33(9)) = (72, 297)
Step-by-step explanation:
option A is the right answer
Find the value of 2^5
Answer:
32
Step-by-step explanation:
2*2=4 2^2
2*2*2=8 2^3
2*2*2*2=16 2^4
2*2*2*2*2=32 2^5
I hope this helps!
Job A: $450 per weekJob B: $28,500 per year
a. Which job pays more?
b. How much more?
Point Z is located at (3,4). The point will be translated 2 units left and 4 units up. What will be the coordinates of the image point Z'?
Answer:
(1, 8 )
Step-by-step explanation:
A translation of 2 units left means subtracting 2 from the x- coordinate
A translation of 4 units up means adding 4 to the y- coordinate
Z (3, 4 ) → Z' (3 - 2, 4 + 4 ) → Z' (1, 8 )
A plane flying overhead at night is located by two
searchlights as shown at right. The two
searchlights are 1200 feet apart. Angle A = 72°
and angle B = 77º. How high is the plane?
Answer:
Step-by-step explanation:
B
2
3
Let the distance of two consecutive stones are x, x+1.
In ΔBCD, we have
tan60
o
=
x
h
⇒x=
3
h
.....(i)
In ΔABC, we have
tan30
o
=
x+1
h
⇒
3
1
=
x+1
h
⇒
3
h
+1=
3
h ......[from equation (i)]
⇒
3
2h
=1
⇒h=
2
3
km
solution
Emily gets paid $40 just for showing up to watch her sister’s dog. Her sister then pays her $25 per everyday she watches the dog.
Answer:
Step-by-step explanation:
HELP!! An airplane travels at a speed of 600 meters per minute. How long will it take it to travel 5000 kilometers?
Answer:
8333.33 minutes or 138. 89 hours
Step-by-step explanation:
Speed = distance/time
time = distance/speed = 5000000 meter/600 meter/minute
= 8333.33 minutes or 138. 89 hours
Solve the equation,
31-3n+11 = 8
h =
Answer:
n = 11.333
Step-by-step explanation:
I'll take it as your "h" was a typo and u want to find n
31-3n+11 = 8
- 3n = 8 - 11 -31
- 3n = - 34
n = 11.333
31-3n+ 11=8
-3n=8-11-31
-3n=-6
3n=6
n=6/3
n=2
The sum of 2 integers with different signs is 15. Give two possible integers that fit this description.
Answer:
+30
-15
____
+15
Step-by-step explanation:
hope it helps
plz make it brainliest ans
An office needs 9,344 sticky labels. If there are 32 labels in each package, how many
packages should the office buy?
Answer:
just divide 9,344 by 32=292