First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.
=10.7
The length of f from the given triangle FGH is 10.7 inches.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.
Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°
f² = 57.76+10.24-48.64×(- 0.9396)
f² = 68+45.70
f² = 113.7
f = √113.7
f = 10.7 inches
Therefore, the length of f is 10.7 inches.
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Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
x/5 + 2 = 19 x______
Answer:
47x=5
or 5/47
Step-by-step explanation:
Answer:
x=85
Step-by-step explanation:
x/5 + 2 = 19
5(x/5 + 2) = 5(19) *multiply both sides of the equation by 5 to get rid of the fraction
x + 10 = 95
x = 85 *subtract 10 on both sides
Check:
x/5 + 2 = 19
85/5 + 2 = 19
17 + 2 = 19
19 = 19
What is the distance of
CD
given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.
Answer:
CD = [tex]\sqrt{164}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)
d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]
= [tex]\sqrt{(-8)^2+10^2}[/tex]
= [tex]\sqrt{64+100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex] ← in simplest form
As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :
[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]
Here,
x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8So, by filling values :
[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]
[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]
[tex] \sf : \implies CD = \sqrt{164}[/tex]
Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]
What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?
.
Step-by-step explanation:
The correct answer is 78
Find x, y and z
help i don’t know what to do, it’s the last question
Answer:
y=3
(bc it is the same length as its perpendicular counterpart.
x= 9 (same with Z)
(From pythagorean theorem)
6^2+3^2= (root of) 45
and square root 45
and it is the same as its counterpart (which is z)
Step-by-step explanation:
as I explained on the answer(it doesnt let this part be unwritten)
Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January?
Answer:
$600
Step-by-step explanation:
Convert the 4% commission into a decimal, which is 0.04.Multiply the sales ($15,000) by the commission as a decimal (0.04). This is $600, which is the answer.Which of these numbers lines is the X-axis?
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
Find the measure of
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?
Answer:
The distance from the ball to the left post is 50 feet.
Step-by-step explanation:
Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:
A ^ 2 = B ^ 2 + C ^ 2
A ^ 2 = 14 ^ 2 + 48 ^ 2
A ^ 2 = 196 + 2,304
A = √2500
A = 50
Thus, the distance from the ball to the left post is 50 feet.
Given 2 points find the slope using the slope formula. Show all work.
12-Y
me
Xzx,
simplify 3a x 4, thank youuuu
Answer:
12a
3 x 4 =12a
Pls Answer Fast I will give u 5 Stars
Answer:
X is 90 degrees
Step-by-step explanation:
I dont know the second part
Which point does not belong with the other three?
(0,−3)
(0, 0)
(4,−3)
(4, 0)
Question 2
Explain your reasoning.
The point that does not belong is the only point that is
.
A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1
Answer:
1. x < −6
2. x < 3.2
3. x < 4
4. x>12.5
5. ? there is no "<, >" sign
6. b<5
7. z<−2.1
pls give brainliest
Step-by-step explanation:
see photos for explanation
Please, I need help with this
Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day. How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?
Answer: The answer in this photo thanks for a little quiz
The number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
What is an equation?In mathematics, an equation is a statement of equality between two expressions, indicated by the equals sign (=). Solutions to equations are the values for unknowns which, when substituted into the expression, make it true.
Given that, the book they're reading right now is 256 pages long.
Let the number of days be x.
Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book.
102+16x -------(i)
Bert has read 142 pages, and he plans to read 11 pages every day.
142+11x -------(ii)
Addison and Bert have each read the same number of pages in total.
So, (i)=(ii)
102+16x=142+11x
16x-11x=142-102
5x=40
x=8
Hence, the number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
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what is 3/4/5-2/3/5...
Answer:
30
Step-by-step explanation:
The / is another symbol for multipation. Just multiply 3 with 4 and 5. Then multiple 2 and 3 and 5, then you subtract 3 times 4 times 5's answer by 2 times 3 times 5's answer. You will get 30 as the final answer
Answer:
In exact form the answer is 1/6 Or in decimal form it would be 1.2, in mixed number form it would be 1 and 1/5
I hope this helps you.
Find the values of m and n
Can someone help???
Answer:
n=68
m=180-(68+68)
m=180-136
m=44
Answer:
m=44 n=68
Step-by-step explanation:
Base angle theorum.
180-(68+68)= Angle opposite to M=44
Vertical Angle Theorum.
M=Angle opposite to M=44
Definition of Isoceles Triangle.
n=(180-44)/2=136/2=68
A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50
∘
Answer:
a + b + c= 90
30+30+30=90
90=90.
30 is the ans
Answer:
Step-by-step explanation:
50 degree
0
-3 < n < 1
n is an integer.
Write down the possible values of n.
Answer:
-2,-1,0
Step-by-step explanation:
the integers between -3 and 1, not including -3 and 1 are
-2,-1,0
Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with “Original Equation” as the first step.
HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government
The answer is the first one . A
Please help me pls!!
Answer:
Step-by-step explanation:
Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes. To find the perimeter, we simply add up the lengths of each outside edge.
HOPE IT HELPS
Write a polynomial in standard form that represents the area of the shaded region.
Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
Help?... i really really need help...
Answer:
Bro its easssssssssssssssssssssssssssssssy
Step-by-step explanation:
you must do the rule of threee.
FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!
If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?
Answer:
a = 3
b = 5
c = -8
abc = -120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
sorry just looked at the answer below *HAXZ*:)
What is -3/4(-5/9) ?
Answer:
5/12
Step-by-step explanation:
Answer:
D) -47/36
Step-by-step explanation:
Trust me.
Pls help :) i really need to finish it
Answer:
ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch
Step-by-step explanation:
Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.
Answer:
Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
HOPE THIS HELPS!!!
BRAINLIEST PLZ???
Answer:
It is not equal, so no, it is not a true scale model.
Step-by-step explanation:
Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.
56 • 12 = 672
divide 672 by 8:
672/8 = 84
So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model
21 • 12 = 252
2.5 • 84 = 210
It is not equal, so no, it is not a true scale model.
Use the FOIL Method to find (w+9)(w+6)
Answer:
Step-by-step explanation:
First, outside, inside, last.
w*w
6*w
9*w
9*6
[tex]w^2+15w+54[/tex]
Answer: w^2 + 15w + 54
Step-by-step explanation:
FOIL = first, outside, inside, last.
First —> multiply first numbers of each parentheses.
Outside —> multiple the OUTSIDE numbers in each parentheses (first number in the first parentheses, second number in the second parentheses.
Inside —> multiply the INSIDE numbers in each parentheses (the second number in the first parentheses, first number in the second parentheses).
Last —> multiply second number of each parentheses.
(W + 9)(w + 6)
F = w^2
O = 6w
I = 9w
L = 54
W^2 + 6w + 9w + 54
W^2 +15w + 54