Angle B=48 and angle E=x+4. <br> Please help me find x

When 4(0.5x+2.5y-0.7x-1.3y+4)is simplified, what is the resulting expression?

Wittaler [7]

2x+10y-2.8x-5.2y+16=

-0.8x+4.8y+16

3 0

3 years ago

Given: Quadrilaterals ABCD ~ EFGH , with measure of angle A = 47 degrees, measure of angle B = 39 degrees, and measure of angle

kaheart [24]

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.

Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.

In quadrilateral ABCD:

∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)

Substituting:

47 + 39 + 112 + ∠D = 360

∠D + 198 = 360

∠D = 360 - 198

∠D = 162°

The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:

∠A = ∠E = 47°

∠B = ∠F = 39°

∠C = ∠G = 112°

∠D = ∠H = 162°

3 0

2 years ago

explain how you would find the height of the rectangular prism if you know that the volume is 60 cubic centers in the area of th

nikdorinn [45]

You take 60 and divide it by 10 which is 6 so the height would be 6

3 0

3 years ago

Read 2 more answers

If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints

Dima020 [189]

<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following unit relationship:

$0.5Quart=Pints$

Now, calculating how much is a pint:

$\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45$

A pint is $0.45.

Then, calculating how much are 5 pints:

$Price=0.45*NoOfPints=0.45*5=2.25$

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0

3 years ago

An ABC News poll asked adults whether they felt genetically modified food was safe to eat. 35% felt it was safe, 52% felt it was

Masteriza [31]

Answer:

The proportions differ from those reported in the survey.

Step-by-step explanation:

The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The proportions does not differ from those reported in the survey.

<em>Hₐ</em>: The proportions differ from those reported in the survey.

Assume that the significance level of the test is, α = 0.01.

The Chi-square test statistic is given by:

$\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel sheet provided.

The Chi-square test statistic value is 191.32.

The <em>p</em>-value of the test is:

$p-value=P(\chi^{2}_{(n-1)}>191.32)\\\\=\text{CHISQ.DIST.RT}(191.32,2)\\\\=0.0000$

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.

Thus, concluding that the proportions differ from those reported in the survey.

5 0

3 years ago

Angle B=48 and angle E=x+4. Please help me find x