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maksim [4K]
2 years ago
8

Solve the inequality and graph the solution on the line provided.

Mathematics
1 answer:
Vilka [71]2 years ago
3 0

Answer: x < 8

                       <--------------------------------------- *

__________________________________________________

-7  -6  -5  -4  -3  -2  -1  0  1  2  3  4  5  6  7  8  9  10  11  12  13  14  

Step-by-step explanation:

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A linear model is given for the data in the table: y=1.25x+2.
Fed [463]

Answer:

Option A

Step-by-step explanation:

Given that A linear model is given for the data in the table: y=1.25x+2.

Let us write observed values for each x and also the predicted values as per equation.

x            2     3        4      8    10      16    20    24    Total

y((O)      3      4        7     12   16      22   28    30

y(P)     4.5   5.75      7     12   14.5   22   27    32

DEv    1.5    1.75      0       0     1.5     0      1       2     7 75

where y(0) represents observed y or y in the table given

y(P) gives values of y predicted as per the equation 1.25x+2

Dev represents the absolute difference

Hence answer is option

A.7.75

8 0
2 years ago
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
3 years ago
11,17,18,19,23,21,14 what is the median
Tema [17]
The median is 18. 
Hope this helped!
8 0
3 years ago
Read 2 more answers
Why do we use congruence?
NARA [144]

For people to comprehend the structure of their world, congruence is a crucial mathematical concept. Young children's daily interactions with congruence enable them to build innate perceptions of this geometric relationship.

Congruent:

If the size and shape of two triangles are same, they are said to be congruent. Three equal sides and identical angles are shared by two congruent triangles with regard to one another. Corresponding Parts of Congruent Triangles are Congruent is referred to by the theorem CPCTC. According to the CPCTC theorem, whenever two triangles are congruent, then each of their corresponding parts are also congruent. In other words, if two or more triangles are congruent, then their corresponding sides and angles are also congruent or equivalent in size.

To learn more about congruent visit: brainly.com/question/12413243

#SPJ4

8 0
1 year ago
On last weekend's math test, 32 students received passing grades and 16 students did not receive passing grades. What is the rat
hichkok12 [17]

Answer:

48 16

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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