Solving for 'x' It's Side Splitter Theorem
Answer:
12-x=x+3
12-3=x+x
9=2x
9/2=x
4.5=x
Answer:
x = 3
Step-by-step explanation:
The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is
[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides
6x + 18 = 48 - 4x ( add 4x to both sides )
10x + 18 = 48 ( subtract 18 from both sides )
10x = 30 ( divide both sides by 10 )
x = 3
7 divided by what equals 56?
Answer:
the answer is 8 very easy and very simple have a great
day ☺️
distance between each pair of points
(0.4). (8. -2)
Answer:
10
Step-by-step explanation:
Sqrt((-8)^2+((-2)-4)^2)
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Answer:
(x-4)^2 + (y+5)^2 = 324
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-4)^2 + (y+5)^2 = 18^2
(x-4)^2 + (y+5)^2 = 324
In the equation y=mx +b what si b
Answer:
B is the y-intercept. Where you start your slope.
Step-by-step explanation:
The ratio of dogs to cats is 3:8 there are a total of 99 dogs and cats in the shelter. How many are cats.
Answer:
72 cats
Step-by-step explanation:
sum the parts of the ratio, 3 + 8 = 11 parts
Divide the total by 11 to find the value of one part of the ratio.
99 ÷ 11 = 9 ← value of 1 part of the ratio, then
8 parts = 8 × 9 = 72 ← number of cats
FInd the slope y = -2
Answer:
The slope is ZERO. It has no slope
Step-by-step explanation:
Four times the smallest of three consecutive integers is three more than three times the largest. What is the middle integer?
Let, first integer is x.
Therefore, other two are x+1 , x+2 .
Now, mathematical expression of given conditions is :
4x + 3 = 3(x+2)
4x + 3 = 3x + 6
x = 3.
So, the consecutive numbers are 3 , 4 and 5.
Therefore, the middle integer is 4.
Hence, this is the required solution.
If m is the midpoint of ab find the coordinates of a if b(4,6) and m(1,2) A is pls help I need to know pls
Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.
5. What is an equation in point-stope form for the line perpendicular to y = 2x + 13 that contains (8,-4)?
y+8= - (2-4)
O y + 4 = 2(x - 8)
O x + 4 = 2(y - 8)
1
y + 4 =
Answer:
y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x
orrrr...
-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0
Well, we don't write "+ 0" because that's just extra work.
y = (-1/2)x
mark me as brainlist
express 6^1/4 b^3/4 c^1/4 using a radical
Answer:
B
Step-by-step explanation:
[tex]6^{\frac{1}{4} } b^{\frac{3}{4} }c^{\frac{1}{4} }\\\\=(6^1b^3c^1)^{\frac{1}{4} }\\\\=(6b^3c)^\frac{1}{4} \\\\=\sqrt[4]{6b^3c}[/tex]
so answer is B
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
To answer the question, we need to know what radicals are.
What are radicals?Radicals are roots of numbers. They are written in the form [tex]\sqrt[n]{x}[/tex] where n is the nth root of x.
Now given that we want to express [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] as a radical, we having using the laws of indices
[tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} } = (6b^{3}c )^{\frac{1}{4} } \\6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }= \sqrt[4]{(6b^{3}c )}[/tex]
Thus, we have expressed it as a radical.
So, [tex]6^{\frac{1}{4} }b^{\frac{3}{4} }c^{\frac{1}{4} }[/tex] expressed as a radical is d. [tex]\sqrt[4]{(6b^{3}c )}[/tex]
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-14x+28+6x=-44 simplify.
Please Help, Im having trouble with this
Answer:
1 7/8 can be written as 8*1+7/8=15/8=1.875
Step-by-step explanation:
Help me plz I don't know how to do this!
Answer:
B
Because the right side is double the number on the left
What is the result when the number 92 is decreased by 50%?
Answer:
46
Step-by-step explanation:
50%=0.5
0.5*92=46
The domain of a quadratic function is all real numbers and the range is y ≤ 2 how many x intercepts does the function have?
Answer:3
Step-by-step explanation:
20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?
Step-by-step explanation:
7x^4+2xy-5y^3
+2x^4+3xy+2y^3
=9x^4+5xy-3y^3
Match each product of powers with its simpled expression
Answer: what’s the answer
Step-by-step explanation:
5 x (-1/3) do u know
Answer:
~-1.67
Step-by-step explanation:
Multiply. Note that when you multiply a negative and positive number, your answer will be negative:
5 x (-1/3) = (5 * -1)/3
Multiply, then divide:
5 * -1 = -5
-5/3 = ~-1.67 (rounded to the nearest hundredths).
~
Answer:
-5x/3
It just is, trust me.
-96 divided by (-12)
Answer:
8
Step-by-step explanation:
A 9-foot roll of wrapping paper costs $15.12. What is the price per inch?
Answer:
$0.14
Step-by-step explanation:
$15.12/9
ans/12
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
A red kangaroo and a gray kangaroo together weigh 139 kg. The red kangaroo weighs 35 kg less than the gray kangaroo. How much does the gray kangaroo weigh?
Answer:
Gray kangaroo weighs 87 kg.
Step-by-step explanation:
Total weight of the two kangaroo = 139 kg.
Let the weight of the gray kangaroo be represented by p.
Since the red kangaroo weighs 35 kg less than the gray kangaroo = (p - 35) kg.
Thus;
weight of gray kangaroo + weight of red kangaroo = 139 kg
p + (p -35) = 139
p + p -35 = 139
2p = 139 + 35
2p = 174
p = 87
The weight of the gray kangaroo is 87 kg.
Weigth of the red kangaroo = (87 - 35)
= 52 kg
The gray kangaroo weighs 87 kg.
let the weight of the gray kangaroo as G.
We have,
the red kangaroo weighs 35 kg less than the gray kangaroo.
So, the weight of the red kangaroo can be represented as G - 35.
We also know that the combined weight of the red kangaroo and the gray kangaroo is 139 kg. So we can write the equation:
G + (G - 35) = 139
Combining like terms:
2G - 35 = 139
Now, let's solve for G by isolating the variable:
2G = 139 + 35
2G = 174
Dividing both sides by 2:
G = 174 / 2
G = 87
Therefore, the gray kangaroo weighs 87 kg.
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Evaluate 42 = (5 – 3). (1 point)
Answer:(5-3)=42
Step-by-step explanation:
Hello There!!
Your answer is 21.
First, You should do is (5 ₋ 3) = 2.
Then, You need to divide 42/2 =21.
[tex]\sqrt[HopeThisHelps}[/tex][tex]^{HopeThisHelps}[/tex]
[tex]\frac{Loserbrazts}{}[/tex]
Find the equation of the line below.Arrange your answer y=Mx+b where is the constant
Answer:
Step-by-step explanation:
y=mx+b
Step 1: Flip the equation.
mx+b=y
Step 2: Add -mx to both sides.
mx+b+−mx=y+−mx
b=−mx+y
the perimeter of a rectangular playground is 46m. if the length of the park is 7m, what is the width of the park?
Answer:
Step-by-step explanation:
2(7) + 2w = 46
14 + 2w = 46
2w = 32
w = 16 is the width of the park
If m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure ∠1 = f.m∠7 = k.m∠13 = b.m∠3 = g.m∠8 = l.m∠14 = c.m∠4 = h.m∠9 = m.m∠15 = d.m∠5 = i.m∠10 = n.m∠16 = e.m∠6 = j.m∠11 = o.m∠17 =
Answer:
Step-by-step explanation:
1). Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
The answers are given as follows
Given that
a║b
m∠2 = 125°
m∠12 = 37°
m∠18 = 102°
From the identity of supplementary angles
m∠1 + m∠2= 180°
So m∠1 = 180° - 125° = 55°
m∠7 =m∠12 = 37° (Interior opposite angles )
m∠3 = m∠18=102° (Alternate Exterior angles )
m∠8 = 180° - m∠3 -m∠7 = 180°- 139° = 41°
m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)
So m∠13 = 180° -78° = 102° (linear pair)
m∠4= 180° - m∠3 = 180° - 102° = 78°
m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)
m∠15 = m∠2 = 125° (Alternate exterior angles)
m∠5 =m∠15 = 125° (Corresponding Angles )
m∠10 = 180° -125° = 55°
m∠16 = m∠10 =55° ( Vertically Opposite Angles)
m∠6 = m∠10 =55° (Alternate interior angles)
m∠11 = 180 ° - m∠6° - m∠7° = 180° - 55° - 37° = 88°
m∠17 = 180° - m∠13 = 180° -102° = 78 °
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Sean sells chicken coops for $450 each plus a $100 delivery fee. The table below represents this situation. Total Cost Number of Coops 1 2 $550 $1,000 $1,450 $1,900 3 4 Which of the following represents the y-intercept of the graph of this situation? A 500 B 100 с 450 D 550
Answer:
100
Step-by-step explanation:
Got it right on test
3x - 6x + 2 > 65
Mathematic
3x - 6x + 2 > 65
Combine like terms.
-3x + 2 > 65
Subtract 2 from both sides.
-3x > 62
Divide both sides by -3
x < -62/3
Answer:
3x - 6x + 2 > 62
→ -3x + 2 > 62
→ -3x > 62
→ x < -62/3