The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answers
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Related Questions
What is the sum of 4.061 and 18.62?
Answers
Answer:
22.681
Step-by-step explanation:
1
4.061
+ 18.620
22.681
Hope this helps!! Have a wonderful day C:
Given d = 1/2 at^2, solve for a.
A) a = t^2/ 2d
B) a = 2d/t^2
C) a = d - 1/2 t^2
D) a = 1/2t^2 - d
Answers
The Answer is B
2d/t^2
If h(x) = −2x − 10, find h(−4).
A: −2
B: −18
C: −3
D: −16
Answers
Answer:
[tex]\huge\boxed{\sf -2}[/tex]
Step-by-step explanation:
[tex]\sf h(x) = -2x-10\\\\Put \ x = -4\\\\h(-4) = -2(-4) -10\\\\h(-4) = 8-10\\\\\boxed{\sf h(-4) = -2}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Help!!!!
Given log73≈0.5646 and log716≈1.4248, evaluate the expressions.
Answers
Answer:
a) 0.356
b) 1.1397
Step-by-step explanation:
a) log₇2
log(2) / log(7) 0.356b) log₇ (¹⁴⁷/₁₆)
log (¹⁴⁷/₁₆)log (7)
1.1397Select the correct answer.
Which of the graphs below represents the equation 3x - 2y = -12
Answers
Answer:
Graph B
Step-by-step explanation:
First you solve them which will give you,
X-intercept = (-4,0)
Y-intercept = (0,6)
Slope 3/2x
equation for this: y = 3/2x + 6
So graph B is the only option like this.
1
The area of a rectangular dog pen is 8-square feet.
2
2
If the width is 3 feet, what is the length, in feet?
Answers
Factoring trinomials
Select two for each
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors.
1.) x^2+4x+3= (x+1) (x+3)
2.) x^2-2x-99 = (x+3) (x-11)
Help. Can somebody help me with this. Thank you.
Answers
Answer:
[tex]m\angle CAB=65^\circ[/tex]
Step-by-step explanation:
Angles and Lines
It's convenient to recall two basic principles of angles:
The sum of internal angles in a triangle is 180°
Two linear angles are supplementary, i.e. they sum 180°.
Angles ABC and CBD are linear. Since we know the measure of angle CBD, thus the measure of angle ABC is 180°-6x.
Now focus on the triangle. The sum of its internal angles is:
x + 40 + 3x + 10 + 180 - 6x = 180
Simplifying:
-2x + 230 = 180
Subtracting 230:
-2x = -50
Dividing by -2:
x = -50 / (-2) = 25
x = 25°
Now find the measure of angle CAB
[tex]m\angle CAB=x+40=25+40=65[/tex]
[tex]\mathbf{m\angle CAB=65^\circ}[/tex]
On a coordinate plane, 2 rectangles are shown. Rectangle A B C D has points (negative 10, 8), (negative 4, 8), (negative 4, 4), (negative 10, 4). Rectangle W X Y Z has points (4, negative 4), (7, negative 4), (7, negative 12), (4, negative 12). Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answers
Answer:
its D
Step-by-step explanation:
D
Answer:
D. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
4x+5 equivalent expression
Answers
Answer:
20
Step-by-step explanation:
.000034 in scientific notation
Answers
3.5 × 10 and the 10 has a exponent of negative 5
You have a rectangle with the perimeter of 150 cm. One side length is
represented by 2x+4. The other side is 30 cm. What is the value of the side length represented by 2x+4?
side length represented by 2x+4?*
Answers
Answer:
x=20.5
Step-by-step explanation:
Perimeter of rectangle = 2(L+B)
L- Length and B - Breadth
150 = 2( 2x+4 +30)
150÷2 = 2x + 34
75 = 2x + 34
2x = 75 -34
2x = 41
x = 20.5
I will give you branilest!
Zeno jumped 8 meters. Then he jumped half as far again (4 meters). Then he jumped half as far again (2 meters). So after 3 jumps, he was 8 + 4 + 2 = 14 meters from his starting place.
a. Zeno kept jumping half as far again. How far would he be after 4 jumps?
Answers
Answer:
15.875m
Step-by-step explanation:
8 + 4 + 2 + 1 + 0.5 + 0.25 + 0.125 = 15.875
What is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredthWhat is the volume of a cylinder with a radius of 1.5 inches and a height of 9 inches round your answer to the nearest hundredth
Answers
Answer:
V = 63.62
Step-by-step explanation:
Answer: 63.62 cubic inches
Step-by-step explanation:
REMEMBER :: VOLUME OF CYLINDER = πr^2h
r= 1.5 in.
h= 9 in.
V= π (1.5)^2 (9)
V= π (2.25) (9)
V= π (20.25)
V~63.6172512...
nearest hundredth = 63.62 cubic inches
12(−1.4m+0.4)=
0.7m + 0.2
-0.7m + 0.2
2.8m + 0.8
-2.8m + 0.8
Answers
Answer:
m = 0.28571428571
or 0.29(to the nearest tenth)
Step-by-step explanation:
First, distribute
12(−1.4m+0.4)=
-16.8m + 4.8 =
Now move the constant to the right.
-16.8m + 4.8 =
-16.8m = -4.8 =
Now divide,
-16.8m = -4.8 =
m = 0.28 or 0.29
What is the image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin?
Answers
Answer:
(-8, 9)
Step-by-step explanation:
A 180 degree rotation is:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to the point given:
[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]
Hope this helps.
The image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin is (-8, 9).
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)
A 180 degree rotation is:
(x, -y) --- (-x, y)
Apply the rule to the point given:
(8,-9) --- (-8, 9)
Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).
Learn more about rotation of a point with respect to origin here:
https://brainly.com/question/18856342
#SPJ2
Select all of the following that represent quadratic expressions:
A.3x(2)+ 2x
B.2x – 5
C.(x + 2)(x + 1)
D.X(3) +x+1
Answers
it can be turned into an equation :)
Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?
Answers
Answer:
$31.63/hr
Step-by-step explanation:
Given parameters:
Yearly salary = $65788
Number hours worked per week = 40hrs
Unknown:
Hourly wage = ?
Solution:
The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.
There are 52 weeks in a year;
Number of hours worked per year = 52 x 40 = 2080hrs
Hourly wage per year = [tex]\frac{65788}{2080}[/tex] = $31.63/hr
can someone help me with prombelm number 2
Answers
H(x)=x^2-5x+7
h(2)=2^2-5(2)+7
4-10+7
-6+7
1
h(-5)=-5^2-5(-5)+7
10+25+7
35+7
42
h(-8)=-8^2-5(-8)+7
16+30+7
46+7
53
a. 1
b.42
c.53
Answer:
Work shown below!
Step-by-step explanation:
2. [tex]g(x)=\frac{1}{2}x+5[/tex]
[tex]g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7[/tex]
[tex]g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0[/tex]
[tex]g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5[/tex]
THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
Can you please help with the four and eight
Balon
300
100
3
1
7
10
M
4 (2pts) Above a line is drawn. There are
2 points A and B. Point A (3.98) Point
B (9, 179). Find the slope using the
formula.
8 2pts) What is the y-intercept of your
line, and what is its real-world
meaning?
Answers
If f(n) = 2n + 1 and g(n) = 3n, find f(n) + g(n).
Answers
Answer:
Step-by-step explanation:
Which function is graphed below?
Answers
Answer:
daddy chill
Step-by-step explanation:
what does te guy say?
-6t-7=17 what does t equal
Answers
Answer:
t=-4
Step-by-step explanation:
I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4
Using the rule y = -x + 2, complete the input/output table shown below
Answers
explanation: substitute x values in the rule to get y values
Mary mixes white paint and blue paint in the ratio 2:3. She makes a total of 20 litres of paint. How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1 : 7?
Answers
Answer:
7 i believe, if not then sorry. bad calculations.
Step-by-step explanation:
What is 10 times as much as 0.06.
Answers
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
PLZZZ HELPPP THIS IS A TIMED TESTTT *look at the picture*
the triangles are similar. solve for x
Answers
Answer:
x=14
Step-by-step explanation:
Multiply. (−2.1)⋅(−1.4) −29.4 −2.94 2.94 29.4 15 POINTS
Answers
Answer:
-29.4
Step-by-step explanation:
(-2.1)(-1.4) - 29.4 - 2.94
2.94 - 29.4 - 2.94
-29.4
Please help I’m stuck on this one!
Answers
Answer: The length of JK is 10.5 m
Step-by-step explanation:
Find the circumference C= dπ
C = 12π
C= 37.7
There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.
Multiply the Circumference by 100/360 (or 5/18 × 37.7)
The arc is 10.5 m
the volume of the rectangular prism shown below is 96 cubic feet. The dimensions of the prism base are 4 feet and 3 feet. What is the prisms height in feet
Answers
96:(4*3)= 96:12=8
