Step-by-step explanation:
SAS ================
What it says:
If two sides and the angle between them on one triangle are congruent to the corresponding two sides and the angle between them on the other, the triangles are congruent.
Required information:
Two sets of congruent sides with a congruent angle between them
ASA ================
What it says:
If one side and both connected angles on one triangle are congruent to one side and both connected angles on the other, the triangles are congruent.
Required information:
One set of congruent sides with two sets of congruent angles on the sides
AAS ==================
What it says:
If two angles and the non-included side on one triangle are congruent to two angles and the non-included side on the other, the triangles are congruent.
Required information:
Two sets of congruent angles and one set of congruent non-included sides
HL =================
What it says:
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg on the other, the triangles are congruent.
Required information:
Congruent hypotenuse and congruent leg
Can you give me the answer?
Answer:
39
Step-by-step explanation:
The inside of a triangle adds up to 180:
90 because that square box is 90 degrees
90+50=141
180-141=39
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
5) Which table does NOT represent a function?
Answer: D does not represent a function.
Step-by-step explanation: I hope this helps you out.
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
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
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:
5/6 divided by [13/11]
Answer:
0.70512820512 round to the nearest hunderth
Step-by-step explanation:
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
Write the correct order of the letters to the finish line
Answer:
Write the correct order of the letters to the finish line
What is the answer explain please
Answer:
Pattern B
Explain:A quadratic relationship is characterized by constant second differences.
Pattern A
Sequence: 0, 2, 4, 6
First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence
__________________________________________________________
Pattern B
Sequence: 1, 2, 5, 10
First Differences: 1, 3, 5
Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence
__________________________________________________________
Pattern C
Sequence: 1, 3, 9, 27
First Differences: 2, 6, 18
Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence
__________________________________________________________
Pattern B shows a geometric relationship between step number and dot count.
Value of x.
2x
120
140
100
110
130
150
846
Step-by-step explanation:
(2/3)³×(-3/4)²×(-1)²⁰⁰³
(2/5)²×(-5/12)³
Answer:
Step-by-step explanation:
[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]
[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]
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
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:
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:
https://brainly.com/question/10677854
#SPJ2
(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.
Josef and Mai divided some stamps between themselves. Josef got 60% of the stamps. If Josef received 500 more stamps than Mai, how many stamps did Josef receive?
The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps
let
x = total number of stamps
Josef share = 60% of x
= 0.60 × x
= 0.60x
Mai = 40% of x
= 0.40x
Josef = 0.40x + 500
Total = Josef + Mai
x = (0.40 + 500) + 0.40x
x = 0.40x + 500 + 0.40x
x = 0.80x + 500
x - 0.80x = 500
0.20x = 500
x = 500/0.20
x = 2,500
Josef share = 60% of x
= 60/100 × 2,500
= 0.60 × 2,500
= 1,500 stamps
Therefore, the total number of stamps shared between Josef and Mai is 2,500
Read more:
https://brainly.com/question/16450098
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
-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answer:
5a^10
Step-by-step explanation:
1. 24x - 18
-
A. 6(4x-3) B. 6
-
C. 4(6x - 4) D. 12x - 9
It’s a select all that apply question
[tex] \: [/tex]
the right answer is
A. 6(4x-3)Step-by-step explanation:
[tex]24x - 18[/tex]
Factor out 6 from the expression[tex] = 6(4x - 3)[/tex]
so we got the answerhope it helps[tex] \: [/tex]
what is the slope of (16,1) and (17,7)
Find the perimeter. Simplify your answer.
S+1
s
S+1
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
[tex]\frac{4x}{5}+\frac{5x}{6}[/tex]
To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:
[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]
Okay?!Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61, n=39, and s=3.79.
Work Shown:
[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]
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:
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
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.
Work out m and c for the line: 2 y + 6 x = 4
Answer:
m = -3
c = 2
Step-by-step explanation:
if m = slope and c = y-intercept:
Convert to slope - intercept form : y = mx + b, or y = mx + c
2y + 6x = 4
2y = -6x + 4
y = -3x + 2
(m)Slope = -3
(c)y - intercept = 2
-Chetan K