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4 years ago

This question i need helo solve it

Mathematics

2 answers:

Anon25 [30]4 years ago

8 0

390

85(4)=50=390

....................

KIM [24]4 years ago

4 0

It will be 390 because if you multiply the 85x4=340 and if you add the 340+50=390

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Given: KPST is a trapezoid, KP=ST,

sladkih [1.3K]

Answer:

Length of KS and KP are; 25 and 17

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also, MN = 20 , h = 15 and PS:KT = 3:7.

If two sides of the trapezoid are equal then, it is an isosceles trapezoid.

Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.
A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.
Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let bases PS = 3x and KT = 7x respectively.

then;

$\frac{PS+KT}{2} = 20$

$\frac{3x+7x}{2} = 20$

$\frac{10x}{2} = 20$

Simplify:

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12

and Length of base KT = 7x = 7(4) = 28.

In triangle PLK

Using Pythagoras theorem to find KP;

here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

$KP^2 = PL^2+KL^2$

$KP^2 = 15^2+8^2 = 225+64 = 289$

$KP = \sqrt{289} = 17$

therefore, the length KP = 17

Construct a line: Join K and S

Now, in triangle KRS

KR = KL+LR = 8+12 = 20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS ,

$KS^2 = SR^2+KR^2$

$KS^2 = 15^2+20^2 = 225+400 = 625$

$KS = \sqrt{625} = 25$

Therefore, the length of KS is, 25

5 0

3 years ago

The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

lianna [129]

Answer: Area of rectangle is 50 square units.

Step-by-step explanation:

Since we have given that

Diagonal of the rectangle = 5√5

Let the width of rectangle be 'x'

Let the length of rectangle be '2x'

As we know the formula for diagonal of rectangle:

$5\sqrt{5}=\sqrt{l^2+w^2}\\\\(5\sqrt{5}})^2=(2x)^2+x^2\\\\125=4x^2+x62\\\\125=5x^2\\\\\dfrac{125}{5}=x^2\\\\25=x^2\\\\x=\sqrt{25}\\\\x=5\ units$

So, Length of rectangle be 2x=2×5=10 units

And the area of the rectangle is given by

$Area=Length\times width\\\\Area=10\times 5\\\\Area=50\ sq.\ unit$

Hence, area of rectangle is 50 square units.

5 0

3 years ago

Max's trip home takes 3 2 32 minutes. What is the latest time he can leave to be home by a quarter before 5 5?

Phantasy [73]

Answer:

Latest time he can leave to be home by a quarter before 5 is 4:13

Step-by-step explanation:

Given Max's trip home takes 32 minutes. we have to find the time at which he can leave to be home by a quarter before 5.

quarter before 5 means 4:45

Max's takes 32 min to come to home so he has to leave 32 minutes before the given time.

Hence, latest time he can leave to be home by a quarter before 5 is 4:45-32 = 4:13

3 0

4 years ago

When you rotate a figure, does every point move the same distance? Explain.

coldgirl [10]

Answer:

Yes

Step-by-step explanation:

Because the figure is only 1 product or thing

3 0

3 years ago

Read 2 more answers

Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a st

Sav [38]

The explanation about the graph is illustrated below.

<h3>How to illustrate the graph?</h3>

The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.

If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.

Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set

4x + 5y = 80

5y = -4x + 80.

y = -4x/5 + 16

Slope = -4/5 and y intercept is 16.

Learn more about graph on:

brainly.com/question/9352287

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3 0

2 years ago