5/4 in a decimal pls help

In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

slava [35]

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
$6x-42=3x+15\\3x=57\\x=19$

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = $6(19)-42=72$
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

6 0

3 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

Solve for n 20 > -4x - 8

yan [13]

Answer:

x > -7

Step-by-step explanation:

20 + 8 > -4x

Simplify

28 > -4x

Divide both sides by 4

-28/4 < x

-7 < x

x > -7

5 0

3 years ago

A youth soccer field is a rectangle 110 yards long and 60 yards wide. A professional soccer field is a rectangular 110 yards lon

Ksivusya [100]

Answer:

2200 Square Yards

Step-by-step explanation:

Dimension of the Youth Soccer Field = 110 yards long and 60 yards wide.

Therefore Area of the Youth Soccer Field = 110 X 60 =6600 Square Yards

Dimension of the professional soccer field =110 yards long and 80 yards wide.

Area of the professional soccer field = 110 X 80 =8800 Square Yards

The difference in their Area = 8800-6600=2200 Square Yards

Therefore, the professional soccer field has an area of 2200 Square Yards more than the youth soccer field.

4 0

3 years ago

Translate this sentence into an equation. 45 is the sum of 19 and Victor's score

Alex17521 [72]

Answer:

Victors score= v

19 + v =45

5 0

3 years ago