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3 years ago

Angle A and angle B are complementary angles. If m<A = x, which expression represents the number of degrees in angle B?

1 answer:

8 0

Complimentary just means that they add to be 90, so you take 90 degrees and subtract the angle you already have in order to get the complementary angle

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Will was playing checkers with a friend the ratio of games was 3:1 won nine games how many games did his friend win

seraphim [82]

Answer:

Games won by his friend = 3

Step-by-step explanation:

Given data:

Ratio of games winning = 3:1

Total games won by Will = 9

Total games won by his friend = ?

Solution:

Assume games won by friends = x

So according to data:

3:1 = 9:x

= 3/1 = 9/x

By cross multiplying:

= 3x = 9 * 1

By dividing 3 to the both sides of equation:

= 3x/3 =9/3

= x = 3

Games won by friend = 3

8 0

3 years ago

Please Help me ASAP read the problem below

SashulF [63]

PART 1: Find the surface area of each section.

The formula for finding the area of a triangle is A = 1/2(b)(h); where b = base length and h = height. And the formula for finding the area of a rectangle is A = (l)(w); where l = length and w = width.

I'll start with the gold triangles, which are both the same size so I only need to calculate once.

A = 1/2(b)(h)

A = 1/2(7)(8.6)

A = 1/2(60.2)

A = 30.1 cm²

Now, I'll find the area of the blue triangles.

A = 1/2(b)(h)

A = 1/2(12)(7)

A = 1/2(84)

A = 42 cm²

Now, I'll find the area of the rectangular base.

A = (l)(w)

A = (12)(7)

A = 84 cm²

PART 2: Find the amount of foil in each color needed to cover 1 ornament.

There are two gold triangles, so all we have to do is multiply the area of the gold triangle by 2.

(30.1)(2) = 60.2 cm²

There are two blue triangles, so all we have to do it multiply the area of the blue triangle by 2.

(42)(2) = 84 cm²

And Olga will need 84 cm² of black foil to cover the rectangular base.

PART 3: Find the total amount of foil needed to cover 1 ornament and then 100 ornaments.

To find the total amount of foil needed, just add the amounts found in the previous step.

60.2 + 84 + 84 = 228.2 cm²

Olga will need 228.2 cm² of foil to cover 1 ornament.

(228.2)(100) = 22820 cm²

Olga will need 22, 820 cm² of foil to cover 100 ornaments.

PART 4: Fill in the blanks to give your answer.

Surface area of black face(s) = 84 cm²

Surface area of blue face(s) = 84 cm²

Surface area of gold face(s) = 60.2 cm²

Total surface area of 1 ornament = 228.2 cm²

Total surface area of 100 ornaments = 22, 820 cm²

Hope this helps!

3 0

4 years ago

A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offsprin

Strike441 [17]

Answer:

The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.

Step-by-step explanation:

A Chi-square goodness of fit test can be used to test the claim made by the geneticist.

The hypothesis is defined as:

H₀: There is no difference between the observed and expected value,i.e. p₁ < 0.75.

Hₐ: There is a significant difference between the observed and expected value, i.e. p₁ > 0.75.

The test statistic is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}$

Consider the tables attached below.

The value of the test statistic is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}=25.8133$

The critical value is:

$\chi^{2}_{\alpha, k-1}=\chi^{2}_{0.01, 1}=6.635$

*Use a Chi-square table.

The critical region is:

$\chi^{2}\geq 6.635$

The test statistic value of 25.8133 lies in the critical region.

The null hypothesis is rejected at 1% level of significance.

Conclusion:

As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.

7 0

3 years ago

Predict how many times a consonant will not be picked?

In-s [12.5K]

If its the entire alphabet then the answer is 5/26

6 0

3 years ago

Carl earned grades of 62 78 59 and 89 what is the mean of his grades

stira [4]

Answer:

Step-by-step explanation:

Let

Carl grades = x = 62, 78, 59, 89

Number of grades, N = 4

Mean of Carl's grade = sum of x / number of grades,N

= (62 + 78 + 59 + 89) / 4

= 288/4

= 72

Therefore, mean of Carl's grade = 72

5 0

3 years ago