Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.
Answer:
I dont know if this is right but... i tried XD
Step-by-step explanation:
Angle A is congruent to angle C.
What is Triangle?A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.
If XYZ is a triangle, it is represented as ΔXYZ
Here, it is given that BD is the perpendicular bisector of AC.
Then by the definition of perpendicular bisector, B is the midpoint of AC.
Consider ΔABD and ΔCBD
ΔABD and ΔCBD are right triangles with ∡ABD = ∡CBD = 90°.
So, ∡ABD ≅ ∡CBD (∵ all right angles are congruent)
Now, by the reflexive property of congruence, every side or angles are congruent to itself.
So BD ≅ BD
Since B is the midpoint of AC, AB = BC.
Hence AB ≅ BC
By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.
Hence ΔABD ≅ ΔCBD
So, Angle A is congruent to angle C.
Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.
To learn more about congruence of triangles, click:
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Find the perimeter. Simplify your answer.
S+1
s
S+1
x =
A )10
B) 8
C) 9
Help me please this note is just so it will stop saying this is to short
Answer:
8
Step-by-step explanation:
it just makes sense, 5=10, therefore 4=8.
5/6 divided by [13/11]
Answer:
0.70512820512 round to the nearest hunderth
Step-by-step explanation:
Faz a continha de 86496÷6 pra hoje pfvr
Answer:
14416
Step-by-step explanation:
youre welcome
Answer:
14416
Step-by-step explanation:
check the steps for answers
find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helpshelp me please
only the 22. (c)
Answer:
d.
took the test
Step-by-step explanation:
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
hi! I need help ! Triangles geometry angles table.
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
Ms. Yoon's class went on a camping trip. Ms. Yoon needs to buy 26.6
kilograms of food and she pays $2.35 for each kilogram. Mr. Ortiz, the
math teacher, says Ms. Yoon should round the number of kilograms of
food she needs to the nearest kilogram before buying it to make sure she
had enough. How much extra money would Ms. Yoon spend if she
calculates the cost Mr. Ortiz's way?
Answer:
rounding off
26.6= 27
27 x $2.35
=$63.45
Step-by-step explanation:
she would spend $ 63.45 for food
The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___
Answer:
1st = 13
2nd = 21
3rd = 36
Step-by-step explanation:
Let the first number be
f
The second of three numbers is 8 more than the first,
f + 8
third number is 3 less than 3 times the first.
3f - 3
---------------------------
the third number is 15 more than the second,
3f - 3 = (f + 8) + 15
3f - 3 = f + 23
Subtract f from both sides
2f - 3 = 23
add 3 to both sides
2f = 26
Divide both sides by 2
f = 13
f + 8 = 13 + 8 = 21
3f - 3 = 3(13) - 3 = 36
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
Passes through (2, 3) at a gradient of 2
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
ax2+bx+c=0 is not a linear equation. Discuss the reason
Answer:
Step-by-step explanation:
a linear equation is of degree 1.
It is of degree 2 so it is not a linear equation.
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
-16=m/5 -18 prove m=10
Answer:
[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]
Step-by-step explanation:
Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]
1. The first is sum both sides by 18
[tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]
2. The second is multiply both sides by [tex]5[/tex]
[tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]
So of this way you can proof that [tex]m = 10[/tex]
Directions: Answer the following questions below on a separate sheet of paper.
Compute for the Income Tax Due of the following:
1. Gross income of 350,000
2. Gross income of 600,000
3. Gross Income of 1,000,000
4. Gross Income of 2,500,000
5. Gross Income of 10,000,000
Answer:
5. gross income of 10,000,000
QuestionSolve the system of linear equations by substitution.8x−13y=012x+3=y
Answer:Y=6/37
Step-by-step explanation:
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
What is an equation of the following line?
Answer:
y = 5
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through all points with a y- coordinate of 5 , then
y = 5 ← equation of line
helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
Paul had 70 fliers to post around town. Last week, he posted 1/5 of them. This week, he posted 5/7
of the remaining fliers. How many fllers has he still not
posted
Answer:
Paul has not yet posted 6 fliers.
Step-by-step explanation:
How many did he post last week? (1/5)(70) = 14
This week? (5/7)(70) = 50
Already posted: 14 + 50 = 64
Not yet posted: 70 - 64 = 6
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
Answer:
Exponential Growth
Step-by-step explanation:
Which multiplication problem is represented by this grid?
Answer:
The last one is the answer.
What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
The solution to the system of equations 2x+3y=18 -9y+z=-23 is (A,B,C) find the 5x-4z=50 values of A,B,and C
Answer:
6 = A, 2 = B, -5 = C
Step-by-step explanation:
Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year
Answer:
2.83
Step-by-step explanation: