Answer:
Given an angle ABC, it is possible to construct a line BF that divides the angle into two equal parts using only a straightedge and compass. Such a line is called an angle bisector. ... If we then construct the line BF, it will divide the original angle ABC into two equal angles.
Given an angle ABC, it is possible to construct a line BF that divides the angle into two equal parts using only a straightedge and compass
What is an angle bisector?An angle bisector or the bisector of an angle is a ray that divides an angle into two equal parts.
Given an angle ABC, it is possible to construct a line BF that divides the angle into two equal parts using only a straightedge and compass.
Such a line is called an angle bisector. ... If we then construct the line BF, it will divide the original angle ABC into two equal angles.
Hence an angle ABC, it is possible to construct a line BF that divides the angle into two equal parts using only a straightedge and compass
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April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?
Answer:
60 inches
Step-by-step explanation:
Given data
We have the scale of the drawing as
1cm= 6 inches
Now if 1 cm is equivalent to 6inches
then 10cm will be x inches
Cross multiply we have
x*1= 10*6
x= 60 inches
Hence the length of the actual bed is 60inches
Rewrite this expression using a single exponent 10^2/10^5
Answer:
10^-3
Step-by-step explanation:
so if you have 10^2/10^5, you would subtract the exponents since it is division. 2-5=-3
therefore, it would be 10^-2
Hope this helps!
Can someone please help me this?
Answer:
Yes
Step-by-step explanation:
We can make one equation other to the other to solve for x-value first;
=> -4x = x - 5
=> -4x + (-x) = -5
=> -5x = -5
=> x = -5/-5
=> x = 1
Once we have the x-value we can substitute it in for "x" in any equation to find the y-value;
=> y = x - 5
=> y = (1) - 5
=> y = -4
Writing the answer coordinate points would look like (x, y) which would be (1, -4) which is similar to the give, there for yes the solution to the equations is the given coordinate.
Hope this helps!
Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
percent
You choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 black
marbles,
The marble is red
Answer:
12+12+4+6+26=50
12/50=6/25=0.24=24%
Answer:
1/5.
Step-by-step explanation:
First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.
Determine whether the lines given by the fallowing equations intersect at (-1/4,3/4) show all work. 4x+8y=5, x-3y= -3
Answer:
(0, 1)
Step-by-step explanation:
First, we need to make y the subject of the formula from both expressions
For 4x+8y=5
8y = 5- 4x
y = (5-4x)/5
Similarly for x-3y= -3
-3y = -3 - x
3y = x+3
y = (x+3)/3
Since both lines intersects, hence;
(5-4x)/5 = (x+3)/3
Cross multiply
5(x+3) = 3(5-4x)
5x + 15 = 15 - 12x
5x + 12x = 15 - 15
17x = 0
x = 0/17
x = 0
Sustitute x = 0 into any of the equations
Given that y = x+3/3
y = 0+3/3
y = 3/3
y = 1
This shows that the lines intesects at (0, 1)
help me solve this question and thanks !
[tex] (x + 3)(x + 5)[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {x}^{2} + 8x + 15 \\ ={x}^{2} + 5x + 3x + 15 [/tex]
Taking [tex]x[/tex] as common from first two terms and 3 from last two terms, we have
[tex] =x(x + 5) + 3(x + 5)[/tex]
Taking the factor [tex](x+5)[/tex] as common,
[tex] = (x + 3)(x + 5)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
sutract
-2/8 from 4/5
4/5-(-2/8)= 4/5+2/8 On taking LCM = 42/40= 21/20
3 less than the sum of 4 and a number j?
Answer:
[tex](4+j)-3[/tex]
Step-by-step explanation:
Hope this helps
Albert bought 3 blank tapes for $5.95. Find
the cost per tape to the nearest cent.
Answer:
1.94
Step-by-step explanation:
Divide 5.95 by 3
Somebody please help meee!!!!
Answer:
Volume of the pyramid is 448 cubic meters.
Step-by-step explanation:
Volume of the given pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height of the pyramid})[/tex]
Area of the rectangular base = Length × Width
= 12 × 16
= 192 m²
Volume of the pyramid = [tex]\frac{1}{3}(192)(7)[/tex]
= 448 m³
Therefore, the volume is 448 cubic meters.
These triangles are congruent by the triangle congruence postulate [?]
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
[tex]AB\cong CD[/tex] (Given)
[tex]\angle BAC\cong \angle DCA[/tex] (Given)
[tex]AC\cong AC[/tex] (Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[tex]\Delta ABC\cong \Delta CDA[/tex] [SAS congruence postulate]
Therefore, the correct option is B.
will mark brainliest
Answer:for points vgunvh
Step-by-step explanation:
What is the range of 149 111 171 166 152 129 162 144
x + 4 + 2x + 5 what will be simplified expression
Answer:
3x + 9
Step-by-step explanation:
1. combine like terms
x and 2x = 3x
4 + 5 = 9
2. put them together
3x + 9 is your answer.
Hope I helped! have a wonderful day!
Answer:
3x + 9
Step-by-step explanation:
Just add the both the x's together:
2x + x = 3x
Then add the regular numbers together:
4 + 5 = 9
then put the answers together:
3x + 9
HELP ME RN PLEASEEEE
[WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]
Answer:
[tex]\boxed {\boxed {\sf d= \sqrt{34}}}[/tex]
Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
x₁= -2 y₁= -1x₂= 3 y₂= 2Substitute the values into the formula.
[tex]d= \sqrt {(-2-3)^2+(2--1)^2[/tex]
Solve the parentheses.
-2 -3 = -5 2--1 = 2+ 1 = 3[tex]d= \sqrt{(-5)^2+(3)^2[/tex]
Solve the exponents.
(-5)²= -5*-5= 25 (3)²= 3*3=9[tex]d= \sqrt{25+9}[/tex]
Add.
[tex]d= \sqrt{34}[/tex]
This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.
Al, Tom and Joe share €3000. The ratio of the amount Al gets to the amount Tom gets is in the ratio 5 : 4. Joe gets 1.5 times the amount Tom gets. Work out the amount of money that Tom gets
Answer: €800
Step-by-step explanation:
Since Joe gets 1.5 times the amount Tom gets and Tom is given a ratio with value 4, then Joe gets (4 × 1.5) = 6. Therefore, the ratio of Al, Tom and Joe will be 5:4:6.
Therefore, the amount that Tom gets will be:
= 4/(5+4+6) × €3000
= 4/15 × €3000
= €800
Therefore, Tom gets €800
For items 5 - 7 consider the score distribution of 15
students given below and find the following:
72, 73, 74, 74, 77, 79, 79, 79, 80, 81, 82, 82, 83, 86, 87
5. median
A.77
B. 74
C. 79
D. 80
What is the product?
6(x2-1) 68x=1
HELP ITS FOR EDGE
Answer:
12
Step-by-step explanation:
Ppopp
At the beginning of the summer Sarah has $250 she takes a summer job and saves $150 per week. Felicia has $1650 at the beginning of the summer. she travels during the summer and saves $200 per week. at the end of which week do Sarah and Felicia have the same amount of money?
Answer: 4th week
Step-by-step explanation:
You just keep adding 150 to 250 for Sarah and subtract 200 from 1,650 for Felicia until they both have the same amount which would be 850.
At the end of 4th week Sarah and Felicia have same amount of money equals to $850.
What is amount?"Amount is defined as representation of total of two or more quantities."
According to the question,
Amount with Sarah at the beginning of the week = $250
Amount save per week by Sarah = $150
Amount with Felicia at the beginning of the week = $1650
Amount save per week by Felicia = $200
As per the given conditions,
Sarah amount for different weeks:
At the end first week = $250 + $150
= $400
At the end second week = $400 + $150
= $550
At the end third week = $550 + $150
= $700
At the end fourth week = $700 + $150
= $850
Felicia amount for different weeks:
At the end first week = $1650 - $200
= $1450
At the end second week = $1450- $200
= $1250
At the end third week = $1250 - $200
= $1050
At the end fourth week = $1050- $200
= $850
Hence, at the end of 4th week Sarah and Felicia have same amount of money equals to $850.
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Find m
A.)38
B.)22
C.)52
D.)12
Answer:
x =12
Step-by-step explanation:
The two angles add to 90 degrees
4x+4 + 5x-22 = 90
Combine like terms
9x - 18 = 90
Add 18 to each side
9x -18+18 = 90+18
9x = 108
Divide each side by 9
9x/9 = 108/9
x =12
Answer:
C.) 52°
Step-by-step explanation:
find x first
4x + 4 + 5x - 22 = 90
9x - 18 = 90
9x = 108
x = 12
plug it into the expression
4(12) + 4
= 48 + 4
= 52°
Bab needs help please!
Answer:
V =282.6 in ^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know pi = 3.14 r= 3 and h =10
V = 3.14* 3^2 *10
V =282.6
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=80/x
x=80*2
x=160
n x n² da como resultado=
Answer:
n=0
Step-by-step explanation:
is 0 because always the number is 0 in this case
Multiply or divide as indicated.
5a2.6a4
Answer:
3a^6
Step-by-step explanation:
Answer:
[tex]30 {a}^{6} [/tex]
Step-by-step explanation:
Hope it is helpful...
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A = 20
Step-by-step explanation:
Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
Answer:
The square root of 37 minus the square root of 26
[tex]\sqrt{37} -\sqrt{26}[/tex]
Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546
Identify m angle MNO.
PLS HELP:)
Answer:
m<MNO=150° it is equal to 150°
Answer:
m∠MNO = 75°
Step-by-step explanation:
3 in
The volume of
the figure is
cubic in.
6 in
3 in
3 in
7 in
16 in.
Answer:
6in is the cubic volume
Step-by-step explanation:
If I'm wrong just correct me
A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.
=======================================================
Explanation:
There are A = 13 hearts and B = 4 copies of "7"
The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16
There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13
On an 10-sided die, what is P(7) ?
Answer:
1/10
Step-by-step explanation:
7 is one number in a 10 sided die