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2 years ago

Help me please!!! 7. What are the measures of ∠a, ∠b, and ∠c?

Mathematics

2 answers:

Sholpan [36]2 years ago

7 0

Answer:

a = 65°

(what's missing for a half turn)

c = 30°

(bc same angle as upper left)

b = 85°

(bc a+b+c must be 180° in sum, as always in triangles)

please brainliest

guajiro [1.7K]2 years ago

7 0

Answer:

a = 45

b = 105

c = 30 .

Step-by-step explanation:

a + 135 = 180 {Linear pair}

a = 180 - 135

a = 45

d = 30 {Vertically opposite angles}

WA // YZ

c = d { Alternative interior anlges}

c = 30

a + b+ c = 180 {Angle sum property of triangle}

45 + b + 30 = 180

b + 75 = 180

b = 180 -75

b = 105

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Help im confusted about remainder therom

Schach [20]

Answer:

(x + 2) is a factor of f(x)

Step-by-step explanation:

Using the remainder theorem to divide f(x) by (x - h)

Evaluate f(h) and if equal to 0 then (x - h) is a factor

f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0

f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0

f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0

f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0

Hence (x + 2) is a factor of f(x)

3 0

3 years ago

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Oof I am really confused on 13. Can someone help me with it? I’ll really appreciate it. Thanks!

Nataly [62]

Hi! I know for sure that a and d are equivalent to the expression which is not what you are looking for. This is because 11 times 8 gives you the 88 on a and if you multiply the 5 also by 8 you get 40 so a is not the answer. The reason I multiply both by the same number and got the equivalency is because, "What you do to one side, you do to the other." Same thing with d. My answer would be B because you can't change the variable to a different number. You can't just give the five the y and make it mean the same. The answer is B.

3 0

2 years ago

The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a

posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.2

$P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532$

Thus,

$P_{20}=155.4532$

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0

3 years ago

For which system of equations is (5, 3) the solution? A. 3x – 2y = 9 3x + 2y = 14 B. x – y = –2 4x – 3y = 11 C. –2x – y = –13 x

Alla [95]

The correct answer is:

D) $\left \{ {{2x-y=7} \atop {2x+7y=31}} \right.$ .

Explanation:

We solve each system to find the correct answer.

For A:
$\left \{ {{3x-2y=9} \atop {3x+2y=14}} \right.$

Since we have the coefficients of both variables the same, we will use elimination to solve this.

Since the coefficients of y are -2 and 2, we can add the equations to solve, since -2+2=0 and cancels the y variable:
$\left \{ {{3x-2y=9} \atop {+(3x+2y=14)}} \right. 
\\
\\6x=23$

Next we divide both sides by 6:
6x/6 = 23/6
x = 23/6

This is not the x-coordinate of the answer we are looking for, so A is not correct.

For B:
$\left \{ {{x-y=-2} \atop {4x-3y=11}} \right.$

For this equation, it will be easier to isolate a variable and use substitution, since the coefficient of both x and y in the first equation is 1:
x-y=-2

Add y to both sides:
x-y+y=-2+y
x=-2+y

We now substitute this in place of x in the second equation:
4x-3y=11
4(-2+y)-3y=11

Using the distributive property, we have:
4(-2)+4(y)-3y=11
-8+4y-3y=11

Combining like terms, we have:
-8+y=11

Add 8 to each side:
-8+y+8=11+8
y=19

This is not the y-coordinate of the answer we're looking for, so B is not correct.

For C:
Since the coefficient of x in the second equation is 1, we will use substitution again.

x+2y=-11

To isolate x, subtract 2y from each side:
x+2y-2y=-11-2y
x=-11-2y

Now substitute this in place of x in the first equation:
-2x-y=-13
-2(-11-2y)-y=-13

Using the distributive property, we have:
-2(-11)-2(-2y)-y=-13
22+4y-y=-13

Combining like terms:
22+3y=-13

Subtract 22 from each side:
22+3y-22=-13-22
3y=-35

Divide both sides by 3:
3y/3 = -35/3
y = -35/3

This is not the y-coordinate of the answer we're looking for, so C is not correct.

For D:
Since the coefficients of x are the same in each equation, we will use elimination. We have 2x in each equation; to eliminate this, we will subtract, since 2x-2x=0:

$\left \{ {{2x-y=7} \atop {-(2x+7y=31)}} \right. 
\\
\\-8y=-24$

Divide both sides by -8:
-8y/-8 = -24/-8
y=3

The y-coordinate is correct; next we check the x-coordinate Substitute the value for y into the first equation:
2x-y=7
2x-3=7

Add 3 to each side:
2x-3+3=7+3
2x=10

Divide each side by 2:
2x/2=10/2
x=5

This gives us the x- and y-coordinate we need, so D is the correct answer.

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3 years ago

Triangle ABC has two 36 degree angles. What is the measure of the third angle?

9966 [12]

Answer:

Step-by-step explanation:

i think hope this helps

4 0

3 years ago

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