All categories

3 years ago

I need help with number 1

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:∠1=55° ∠2=55° ∠3=55° ∠4=70° ∠5=55°

Step-by-step explanation:

We know that opposite angles of rhombus are congruent and the diagonals of rhombus cut the vertex angles into half. So ∠4=70° and ∠2=∠3=∠1=∠5.

Let ∠2+∠3=x

the sum of four angles of rhombus= 360°

70+70+ x +x = 360°

140+2x = 360°

2x=220°

x=110°

∠2=110°/2=55°=∠3=∠1=∠5

You might be interested in

If y=-4 when x=10 find y when x=5

marusya05 [52]

Y = 2 because half of 10 is 5 so half of 4 is 2

3 0

3 years ago

Read 2 more answers

Solve the inequality for x.

ahrayia [7]

Answer:

B) x < –8

Step-by-step explanation:

–2x – 3 > 13

Add 3 to each side

–2x – 3+3 > 13+3

-2x > 16

Divide each side by -2, remembering to flip the inequality

-2x/-2 < 16/-2

x < -8

3 0

2 years ago

Read 2 more answers

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is

stepan [7]

Answer:

$z=3.2\ units$

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

$\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}$

solve for z

$z=\frac{2.6}{sin(51^o)}sin(76^o)$

$z=3.2\ units$

5 0

3 years ago

Read 2 more answers

A survey was conducted on the types of shoes worn by teachers at South Kitsap high school. The Venn diagram below summarizes the

Sophie [7]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested probability, so we obtain the following:

So to calculate the probability of the conjunction of two events we will substitute in the following formula:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Replacing:

P(wearing brown shoes or tennis shoes U sneakers)=(30+58-8)/100

P(wearing brown shoes or tennis shoes U sneakers)=80/100

P(wearing brown shoes or tennis shoes U sneakers)=0.8

Finally we obtain that the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers is 0.80.

$undefined$

8 0

8 months ago

Find the center and the radius of the circle.<br> (x - 5)2 + (y + 1)2 = 9

Angelina_Jolie [31]

Answer:

The centre's coordinates are: (5; -1)

Radius is the square of 9:

$\sqrt{9} = 3 \: and \: - 3 \\ it \: has \: to \: be \: positive \: therefore \: it \: is 3$

Answer: Radius=3; the cente's coordinates are(5; -1)

Good luck!

Intelligent Muslim,

From Uzbekistan.

5 0

3 years ago