Answer:
Step-by-step explanation:
The figures are congruent, so all you need do is pick 1 point from each figure and tell what it does. I'm going to go from Figure J to figure K
I will pick the point (-4,8) on J. It is the furthest point upwards.
Where is that same point on K? It is at (2,4)
So what happened?
You've moved from -4 to 2 on the x value.
You've moved from 8 to 4 on the y value
You moved right (-4 to 2) = 6 units and
down (8 - 4) = 4 units
What would happen if you went from K to J
This time you have moved 6 units left and 4 units up.
Answer:
a translation left 6 units and up 4 units
Answer:
Option 4 is correct that is both apply
Step-by-step explanation:
We have given the triangle we have to tell which postulate SSS or SAS to use to prove
ΔABC=ΔAED
We can use both of them
Case1: Since, three of the sides are equal that is
AB=AE
AC=AD
BC=ED
Which means SSS can be used
Since, SSS is side side side
Case2: Since one angle and two sides are equal
AB=AE
AC=AD
And ∠BAC=∠EAD
Which means SAS can be used
Since, SAS is side angle side
Therefore, Option 4 is correct that is both apply.
Answer: both apply
Step-by-step explanation:
SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of other triangle then the two triangles are said to be congruent.
In the given triangles ΔABC and ΔAED , we have
∠BAC ≅ ∠EAD
AC ≅ AD
BE ≅ DE
If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SSS congruence postulate .
i.e. for AC ≅ AD , BE ≅ DE and AB ≅ AE [all three sides are congruent]
ΔABC ≅ ΔAED by SSS congruence postulate.
Also, If AB ≅ AE , then we have sufficient things to proof that ΔABC ≅ ΔAED by SAS congruence postulate .
i.e. for AC ≅ AD [Side]
∠BAC ≅ ∠EAD [included angle]
AB ≅ AE [Side]
⇒ ΔABC ≅ ΔAED by SAS congruence postulate.
Hence, we can apply both postulates to prove triangles congruent .
Identify the values of a, b , c in the quadratic equation
Answer:
a = 2, b = - 6, c = 11
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 : a ≠ 0
Compare the coefficients of the terms in standard form to
2x² - 6x + 11 = 0 ← in standard form
Thus a = 2, b = - 6 and c = 11
Answer:
2x² - 6x + 11 = 0
a = 2
b = -6
c = 11
Answer:
5000
Step-by-step explanation:
4745 is closer to 5000 than 4000 because it's over 4500
Answer:
y = 8/9x + -11/9
Step By Step:
Let's solve for y. 8x−9y=11
Step 1:
Add -8x to both sides.
8x−9y+−8x=11+−8x
−9y=−8x+11
Step 2:
Divide both sides by -9.
-9y/-9 = -8+11/-9
y = 8/9x + -11/9
What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880
Pop Classical Rap Jazz Rock Row totals
80 60 80 70 100 390 (Male student)
200 150 20 70 50 490 (Female student)
280 210 100 140 150 880 (Column totals)
Which of the following are possible positive associations or observations? (1 point)
1. Rock music is the most popular music for each category of students.
2. The largest difference in conditional relative frequency between males and females is for pop music.
3. The smallest difference in conditional relative frequency between males and females is for jazz music.
4. Male and female students have the same conditional relative frequency for rap music.
Answer:
The answer is 2.
The largest difference in conditional relative frequency between males and females is is for pop music.
Step-by-step explanation:
males females difference
Pop 80 200 120 ←this shows that pop has the
Classical 60 90 90 greatest difference
Rap 80 20 60
Jazz 70 70 0
Rock 100 50 50
Total 390 490 100
Answer:
it is number 3 The smallest difference in conditional relative frequency between males and females is for jazz music.
Step-by-step explanation: