Answer:
∠ 1 = 36°
Step-by-step explanation:
Supplementary angles sum to 180° then
∠ 2 + ∠ 3 = 180° , that is
∠ 2 + 126° = 180° ( subtract 126° from both sides )
∠ 2 = 54°
Complementary angles sum to 90° , then
∠ 1 + ∠ 2 = 90° , that is
∠ 1 + 54° = 90° ( subtract 54° from both sides )
∠ 1 = 36°
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!
Answer:
1= 1 7/8 or 1.875
2= 235.75
3= 10 1/2 or 10.5
4=191.53
5=1 5/12 or 1.4166667
6=239.13
hope this helps
Answer:
1.
[tex] \frac{9}{4} [/tex]
2. 235.75
3.
[tex] \frac{21}{2} [/tex]
4. 191.53
5.
[tex] \frac{17}{12} [/tex]
6. 239.13
Step-by-step explanation:
1.
[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]
2. 168.45 + 67.3 = 235.75
3.
[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]
4. 249.6 - 58.07 = 191.53
5.
[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]
6. 334.16 - 95.03 = 239.13
Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees
First, let's declare our variables
B = x+2
A = 3(x+2)
Now, let's create our expression.
A + B = 128
Plug in the values for A and B
x+2 + 3(x+2) = 128
We need to solve for x. Start off by simplifying the left side.
x+2 + 3x + 6 = 128
Combine like terms.
4x + 8 = 128
Subtract 8 from both sides.
4x = 120
Divide both sides by 4
x = 30
B = x+2 = 30 + 2 = 32 degrees
A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees
Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her ____ weeks to save for the bike.
Answer:
It will take her 11 weeks to save for the bike
Step-by-step explanation:
261 -107 = 154
154 /14=11
Find length
__
AB
A:-6
B: 8
To find the distance between those two points you would need to
do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.
Answer:
14 = AB
Step-by-step explanation:
When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers
or you can set up the expression---
| -6-8 |
which equals
| -14 |
or
14
because 14 is the same as | -14 |
the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
Translate the following statement into an equation and solve for x
Answer:
104 = -13 x -8
Step-by-step explanation:
The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.
Help geometry need help
This is confusing and makes no sense
Answer:
A is the answer
rrrrrrrr
what is the distributive property for 72 +12
Answer:
4
Step-by-step explanation:
Can someone help me im struggling
[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
1) 5* + 5* +1 + 5x + 2 = 155
Answer:
24.8Step-by-step explanation:
solution,= 5+5+1+5x+2=155=ADD ALL THE NUMBER REMSIN 5X BECAUSE IT IS NOT COMMON=13+5x=155now take 13 to the next side it will be +13=-13=5x=155-13=5x=142= now take 5x to another side it will divide 142=x=142÷5x=28.4 please make me Brainlistfind the missing endpoint endpoint h (-1,0) midpoint p(0,-1)
Answer:
Step-by-step explanation:
Let the other end point be (a,b)
Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)
So
(0,-1) = ( (-1+a)/2 , (0+b)/2)
So we have
0 = (-1 +a) /2
0 = -1 + a
a =1
and
-1 = (0+b)/2
-2 = 0+b
b = -2
So the other end point is ( 1, -2)
22. Jesse's fish hook was 12 feet below the top of the water. He let out
some of his line, and the hook sunk another 3 feet. What is the depth of the
fish hook now? Write an addition problem, and then give the answer.
9514 1404 393
Answer:
15 ft below the top of the water
Step-by-step explanation:
We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:
-12 +(-3) = -15
The depth of Jesse's hook now is 15 feet below the water surface.
Sandi got 1/1/4 pounds of gummy worms if she left the store with 3 pounds of gunmys worms and skittles ,how many pounds of skittles did she get
Answer:
1 3/4 lbs of skittles
Step-by-step explanation:
Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs
Complex way:
(I'm assuming "1/1/4" means "1 1/4")
This is simply ~Subtraction~
The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).
So we need to know what added to 1 1/4 equals 3.
Equation: t= 1 1/4 + s
Equation: t= 1 1/4 + s
We can replace (t) with 3 because we know this variable.
1. 3= 1 1/4 + s
To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation
2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s
The right side cancels out = 0 and the left = 1 3/4
3. 1 3/4= s
Flip it around for the traditional view
4. s = 1 3/4
In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
If LM=22 and MN=15,find LN
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
LN = LM + MN = 37
Step-by-step explanation:
L————————-M———————-N
22. 15
L————————-37———————-N
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
is -15 an integer and rational number?
Answer:
I guess it would help you
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …
Answer:
208
Step-by-step explanation:
First term = a = 4
Common difference = d = a2 - a1 = 9 - 3 = 6
35th term = a + (35 - 1)d
4 + (35 - 1)6
4 + (34)6
4 + 204
208
Answer:
207
Step-by-step explanation:
An=A1+(n-1)×R
A35=3+(35-1)×(9-3)
A35=3+34×6
A35=3+204
A35=207
Help need help please
One of the two equal factors of a number is a _______?
Answer:
A square root
Step-by-step explanation:
A square root is one of two equal factors of a number.
helpppp quick please!! explanation and answers! thanks:)
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
-m/3=-4
m?
Yeah i need to figure out how to do this one
Answer:
assuming that this is just an algebra problem and not some graphing
problem that you are trying to fin the slope vale m in y-mx+b
-m/3 = -4
-m = -4*3
-m = -12
m=12
Step-by-step explanation:
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
