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Firlakuza [10]
2 years ago
6

Given that the measure of ∠x is 66°, and the measure of ∠y is 66°, find the measure of ∠z

Mathematics
1 answer:
kirza4 [7]2 years ago
7 0

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Hope this helps!

If not, I am sorry.

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Solve for x. Round to the nearest hundredth.
Airida [17]

Answer: 32.98^{\circ}

Step-by-step explanation:

Since, By the given diagram,

In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA

Also, In triangle DFA,

sin 56^{\circ} = \frac{DA}{DF}

⇒ sin 56^{\circ} = \frac{DA}{16}

⇒ 16\times sin 56^{\circ}=DA

⇒ 13.2646011609\text{ cm} = DA

Now, In triangle, DEC,

tan x = \frac{EC}{DC}

⇒ tan x = \frac{EB-CB}{DC}

⇒ tan x = \frac{EB-DA}{DC}

⇒ tan x = \frac{23-13.2646011609}{15}  

⇒ tanx = \frac{9.73539883912}{15}

⇒ tanx = 0.64902658927

⇒ x = 32.9846428556^{\circ} \approx 32.98^{\circ}



3 0
3 years ago
What is the congruence theorem used to prove that the two triangles are congruent?
natka813 [3]

Answer:

AAS, the two equal angles, the two right triangles, and the shared side

Step-by-step explanation:

8 0
2 years ago
I need help please i will give u brainly
Vinvika [58]

Answer:

6.04 inches.

Step-by-step explanation:

Corbin want's to make a model, in which every 100 feet would be shown by 1 inch.

The monument is 604 feet in height.

Divide 604 with 100:

604/100 = 6.04

The height of Corbin's model would thereby be 6.04 inches.

~

8 0
3 years ago
Read 2 more answers
According to the scale on a road map, 3 cm represents 45 kilometers. if two cities measure 10 cm apart on the map, how many kilo
denpristay [2]
150 Km.

Good luck! :)

4 0
3 years ago
Can someone help me with this proof
maksim [4K]

Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

To find : by which property are angles 4 and 5 congruent

Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

8 0
3 years ago
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