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3 years ago

(geomatry) Pleasee help I'll give brainest and thanks :)

Mathematics

2 answers:

lord [1]3 years ago

7 0

Answer:

JML=142 degrees

Step-by-step explanation:

This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.

kvasek [131]3 years ago

4 0

Answer:

here, in the given figure Angle JML = 142°

Step-by-step explanation:

here in the given figure , the quadrilateral has all four sides equal hence it's a rhombus .

so, KL || JM and LM is transversal,

hence, Angle JML + Angle KLM = 180°

( both angles forms pair of co-interior angles )

=》JML + KLM = 180°

=》JML + 38° = 180°

=》JML = 180° - 38°

=》Angle JML = 142°

I hope it helped. ..

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Ronch [10]

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2 years ago

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Bella saw that 7:11 people brought an umbella to the beach. There were 99 peopel there. How many of them did not have a beach um

Rina8888 [55]

Answer:

36 people of them did not have a beach umbrella.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x represents the number of people did not have a beach umbrella.

As per the statement:

Bella saw that 7 : 11 people brought an umbrella to the beach.

Out of 11 people, only 7 people brought an Umbrella to the beach.

Remaining people did not brought an Umbrella to the beach = 11 -7 = 4 people

It is also given that there were 99 people there.

then by definition of proportion:

$\frac{4}{11} = \frac{x}{99}$

By cross multiply we have;

$99 \times 4 = 11x$

Divide both sides by 11 we get;

$x = 9 \times 4$

Simplify:

x = 36 people.

Therefore, 36 people of them did not have a beach umbrella.

7 0

3 years ago

a pool in the shape of rectangle has a perimeter of 80 feet. The pool is 8 Feet less wide than its long. Find the length and wid

Aneli [31]

Hello!

To solve this, lets put it into a system of equations where w=width and L=length.
2w+2L=80
L-8=w

To solve, we see that w=L-8. We can substitute this in the first equation to find L and then w.

2(L-8)+2L=80
2L-16+2L=80
4L-16+80
4L-16=80
4L=96
L=24

Now that we know L=24, we can find w. 24-8=16. Now we know that L=24 and w=16.

Lets check our answer. In our original system of equations, we have 48+32=80, which is true, and 24-8=16. Also, the perimeter must equal 80. 16+16+24+24=80.

As our final answer, the width of the pool is 16 feet, and the length is 24 feet.

Hope this helps!

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3 years ago

The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9

QveST [7]

Answer:

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

the original number is 78.

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More formally, let t and o represent the tens and ones digits of the original number.

t + o = 15 . . . . . . the sum of digits is 15

(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

9o -9t = 9 . . . . collect terms

o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

(t +o) +(o -t) = (15) +(1)

2o = 16

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The tens digit is 7 and the ones digit is 8: 78.

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2 years ago

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