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ella [17]
3 years ago
13

Solve for x in the triangle

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

x=9

Step-by-step explanation:

Since the sides are the same, the base angles must be the same

8x+2 = 10x-16

Subtract 8x from each side

8x+2-8x =10x-16-8x

2 = 2x-16

Add 16 to each side

2+16 = 2x-16+16

18 =2x

Divide by 2

18/2 =2x/2

9 =x

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Please help this is due tomorrow!!
Paraphin [41]

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles and are equal.

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5 0
3 years ago
Read 2 more answers
Please add explanation as well.
Marianna [84]
It is the first one. Three times a number means 3x. The sum of 3x and 7 is 3x + 7 because sum means additions. And 3x + 7 is greater than four times the number which is 4x and greater than is this symbol >. So 3x + 7 > 4x
3 0
3 years ago
Hannah's school hosted a book donation. There are 150 students at her school, and they donated a total of b books! Hannah donate
svetoff [14.1K]

Answer:

x=3*\dfrac{b}{150}

Step-by-step explanation:

Let x = number of books that Hannah donated

We know that the number of students is 150 and the total number of books is represented by b, we can write that as:

Average number of books donated by each student = \dfrac{b}{150}

Now we know that Hannah donated 3 times as much as the average. We can write that as:

x=3*\dfrac{b}{150}

4 0
3 years ago
The density of a fluid is given by the empirical equation rho=70.5 exp(8.27 X 10^-7 P) where rho is density (lbm/ft^3) and P is
jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

5 0
3 years ago
What is the mode of the data set?<br><br> A. 8<br> B. 9<br> C. 10<br> D. 5
Lunna [17]

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

7 0
3 years ago
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