Bob tells mark he has 3 kids, the product of their ages is 72, this is not enough info so he gives the sum of the ages then finally say My youngest child called Justice. What is the ages of the kids?
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Which information is needed to show that a parallelogram is a rectangle?
Shawna tutors students in groups of 10. Meanwhile, Kendra tutors students in groups of 7. While discussing their work, the tutors realize that they both work with the same total number of students. What is the smallest number of students each can have?
How do you solve 4b^2+8b+7=4 using the quadratic formula
In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, 12 on all three, and 1 on none of them. How many students are in the class?
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Answer:
Phillip's commission for sales of $15,000 is $600.
Step-by-step explanation:
Phillip sells electronics and works on a commission basis.
His commission is 4% for x dollars worth of sales.
Hence, when his sales are $15000, his commission will be :
dollars
So, Phillip's commission for sales of $15,000 is $600.
so his total would be $15,000
im not fully positive that i'm correct because i do not understand the question but 4% = 600 hope that helps
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The coordinates of point O of the given Reflection is; 5, 5
How to find the point coordinates?
The coordinates point is missing and so I have attached it.
Now, from the question, we are told that N is the reflection of B and O is the reflection of C. Thus, from the attached image, drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines would give us the location of point O.
Drawing a line to the right of N and a vertical line below C, the point of intersection of these two lines which is point O has coordinates at (5,5).
Read more about Point Coordinates at; brainly.com/question/17206319
#SPJ5
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Answer:
f (3) = 6
Step-by-step explanation:
13.85 pounds
14.25 pounds
15.55 pounds
16.25 pounds
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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:
- SSS congruence postulate says that if three sides of one triangle are congruent to three sides of other triangle then the triangles are said tobe congruent.
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 .
sin 3x - sin x = cos2x
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we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....