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3 years ago

In the diagram below AB is parallel to CD what is the value of y?

Mathematics

2 answers:

Savatey [412]3 years ago

8 0

Answer-

The value of y is 45°

Solution-

When two lines are crossed by another line (i.e the transversal), a pair of angles

on each of those two lines
on opposite sides of the transversal
but outside those two lines

are called Alternate Exterior Angles.

When the two lines are parallel Alternate Exterior Angles are equal.

So, in this case the two highlighted angles are Alternate Exterior Angles and as given that AB || CD, so y=45°

Ilya [14]3 years ago

5 0

Y° = y₁° (opposite or Vertical angles), but y₁ = 45° corresponding angles,

then y = 45°

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A rectangle has a length that is 4 meters more than the width. The area of the rectangle is 117 square meters. Find the dimensio

pickupchik [31]

Answer:

Its the first choice. Width:9 Length:13

Step-by-step explanation:

If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.

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3 years ago

At a certain college the ratio of men to women is 6 to 5. If there are 3520 total students how many men are there.

notsponge [240]

Answer:

1920 men are there in college.

Step-by-step explanation:

Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.

Ratio states that it is just a comparison between, or a relating of, two different things.

i.e a to b or a: b

Ratio of men to women:

Men : Women = 6: 5

Let x be the number.

Total number of Men in college = 6x and Total number of women = 5x

Since, total number of students = 3520

⇒ $6x + 5x = 3520$

Combine like terms;

11x = 3520

Divide by 11 on both sides we get;

x = 320

Therefore, total number of men in college = 6x = 6(320) = 1920

4 0

3 years ago

Is the ans i got correct? the total surface area is 33.8cm²

ElenaW [278]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

$A_1=\dfrac{\sqrt{3}}{4}a^2$

Where, a is the side length.

Putting $a=2$ , we get

$A_1=\dfrac{\sqrt{3}}{4}(2)^2$

$A_1=\dfrac{\sqrt{3}}{4}(4)$

$A_1=\sqrt{3}$

$A_1\approx \sqrt{3}$

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

$LA=Ph$

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

$A_2=(2+2+2)5$

$A_2=(6)5$

$A_2=30$

Now, the total surface area is the sum of areas of bases and lateral surface area.

$A=2A_1+A_2$

$A=2(1.73)+30$

$A=3.46+30$

$A=33.46$

Therefore, the total surface area is 33.46 cm².

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3 years ago

What expressions are equivalent to -2.5 (1 - 2n) - 1.5n?

jok3333 [9.3K]

Answer:

C. -2.5 - 6.5n

Step-by-step explanation:

i just think thats the answer

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3 years ago

Read 2 more answers

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600

melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

$y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%$

Hence, there is 3.994% continuous growth rate per hour.

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4 years ago