Ask question

Ask question

All categories

2 years ago

7

Suppose HIJK is a parallelogram. Find the value of x and y.

2 answers:

Kryger [21]2 years ago

6 0

Answer:

x = 90, y = 12

Step-by-step explanation:

The key to this problem is the fact that <u>opposite sides of a parallelogram are congruent</u> (their lengths are equal).

Set up and solve two equations, one for x and one for y.

x + 80 = 2x - 10

80 = x - 10

90 = x

--------------------------

3y - 4 = y + 20

2y - 4 = 20

2y = 24

y = 12

solmaris [256]2 years ago

5 0

Answer is x= 90 y=12

You might be interested in

What is the point slope form of Y=1/2X-2

vagabundo [1.1K]

Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2 (slope-intercept form y=mx+b)

the slope of this line is 1/2 (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2 (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)

8 0

2 years ago

Which statements are true about the trigonometric ratios of this triangle

rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(30°) = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

sin(30°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

cos(60°) = $\frac{BC}{AB}$

= $\frac{11}{22}$

= $\frac{1}{2}$

sin(60°) = = $\frac{AC}{AB}$

= $\frac{11\sqrt{3} }{22}$

= $\frac{\sqrt{3}}{2}$

Options (1), (2), (3) and (4) are the correct options.

3 0

2 years ago

If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.

alexandr1967 [171]

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

$\frac{x+5}{x-2} = \frac{3}{4}\\$

Cross multiplying 4 & 3 gives :-

$4(x+5)=3(x-2)$

And solving this eqn. gives :-

$4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26$

Verification :-

(putting the value of x = -26 )

$\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}$

Reducing $\frac{21}{28}$ by 7 gives $\frac{3}{4}$ .

5 0

2 years ago

The City Sights tour company had the same ratio of tourists to guides on both days this weekend. On Saturday, there were 120 tou

Anastasy [175]

Answer:

There were 6 guides on Sunday.

Step-by-step explanation:

Same ratio

On Saturday, 120 tourists and 18 guides.

On Sunday, 40 tourists and x guides.

Due to the same ratio:

$\frac{120}{40} = \frac{18}{x}$

$3 = \frac{18}{x}$

$3x = 18$

$x = \frac{18}{3}$

$x = 6$

There were 6 guides on Sunday.

5 0

2 years ago

Plot the image of point P under a reflection across the y-axis.

tigry1 [53]

Answer:

Why are you sending questions at 9:15 in the morning.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers