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3 years ago

The value of x and y in both equations

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

There is no solution to this set that works for both equations. If you multiply the top equation by 2 and then add them together, the x and y numbers will cancel. This leaves you with 0 =1010, which is never true.

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Please help me <br> 10 points

erastova [34]

Let us prove that angle 1 is complementary to angle 3 step by step.

1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary $m\angle 1+ m\angle 2=90^{o}$ .

3. We have been also given that line segment BD bisects $\angle ADC$ .

4. By the definition of bisect $\angle 2 \cong \angle 3$ .

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate $m\angle 2=m\angle 3$ .

6. $m\angle 1+ m\angle 2=90^{o}$

Upon substituting $m\angle 2=m\angle 3$ in above equation we will get,

$m\angle 1+ m\angle 3=90^{o}$

Therefore, by substitution property of equality $m\angle 1+ m\angle 3=90^{o}$ .

Hence, proven that angle 1 is complementary to angle 3.

4 0

4 years ago

What is the range of the function f(x)=3x-12 for the domain (-2,2)

MrRa [10]

-18

Step-by-step explanation:

F(x)=3x-12

F(-2)=3x-2-12

=-6-12

=-18

3 0

2 years ago

7-12(3+b)=31 what is the answer

ZanzabumX [31]

7-12(3+b)=31
7-36+12b=31
-29+12b=31
12b=31+29
12b=60
b=5

6 0

3 years ago

Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at

Marianna [84]

Answer:

Meth Barie's ice cream shop should not introduce the new ice cream flavor.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.01

Sample mean, $\bar{x}$ = 4.4

Sample size, n = 15

Alpha, α = 0.1

Sample standard deviation, s = 1.6 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 4.01\\H_A: \mu > 4.01$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.4 - 4.0}{\frac{1.6}{\sqrt{15}} } = 0.968$

Option B) 0.968

Rejection region:

Now, $t_{critical} \text{ at 0.10 level of significance, 9 degree of freedom } = 1.345$

So the rejection region would be a value of t-statistic greater than 1.345.

Option B) t > 1.345

Conclusion:

Since,

$t_{stat} < t_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis. Meth Barie's ice cream shop should not introduce the new ice cream flavor.

8 0

3 years ago

What is 40+56 in GCF

KengaRu [80]

The GCF stands for greatest common factor. To represent a sum by its GCF we need to use the distributive property and we need to first find the GCF of the numbers. Let's break each number by its factors:

$\begin{gathered} 40=2\cdot2\cdot2\cdot5 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}$

We now multiply the numbers that appear on both.

$\text{GCF}=2\cdot2\cdot2=8$

We now apply the distributive property:

$8\cdot(5+7)$

3 0

2 years ago