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Viktor [21]
3 years ago
13

What value of x will make the given triangles congruent?

Mathematics
1 answer:
Molodets [167]3 years ago
6 0
Because you're trying to make them congruent, equal the two expressions to each other. 

So, for #10 you would equal them so it would look like this. 
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x     -2x
---------------
2= 3x -19
+19    +19
---------------
21=3x
---  ----
3     3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x     -x
--------------
8=2x-14
+14   +14
--------------
22=2x
---  ----
2     2

x=11

Check. 

x+8
11+8= 19

3x-14
3(11) - 14 = 19
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Jeffrey's recipe for oatmeal muffins calls for 2 1/4 cups of oatmeal and makes one dozen muffins. If he makes 1 1/2 dozen muffin
Olegator [25]
1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)
3 0
3 years ago
Please help it’s easy, I just need help on the state the problem questions. Make sure to put the number by the answer.
abruzzese [7]

The property of the questions are correctly stated below.

<h3>Properties of the various given equations </h3>

  • Commutative property of addition: This is represented by equation 7

  • Commutative property of multiplication: This is represented by equation 5.

  • Associative property of addition: This is represented by equation 4.

  • Associative property of multiplication: Not represented with any equation.

  • Additive identity property: This is represented by equation 10.

  • Multiplicative identity property: This is represented by equation 1.

  • Multiplicative property of zero: This is represented by equation 8.

  • Multiplicative inverse property: Not represented with any equation.

  • Distribution property: This is represented by equation 2.

  • Reflexive property: This is represented by equation 3.

  • Symmetric property: Not represented with any equation.

  • Transitive property: This is represented by equation 2.

  • Substitution property: This is represented by equation 2.

Learn more about equations here:

brainly.com/question/2972832

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8 0
2 years ago
What is the slope of a line parallel 18x+15y=90
luda_lava [24]

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

5 0
2 years ago
Read 2 more answers
What is the solution to x + 7 = 27
lyudmila [28]

Answer:

The answer is x=20

Step-by-step explanation:

27-7=20

x=20

3 0
3 years ago
Read 2 more answers
1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selected sections in the fie
Ad libitum [116K]
Part A

Answers:
Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046

================================================

Part B

The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67

================================================

Part C

Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657

L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99

U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
5 0
3 years ago
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