1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
3 years ago
6

In XYZ, mX=90 and mY=30.In TUV,mU= 30 and mV=60. Which is true about the two triangles? XYZ=TUV, XYZ= VUT,No congruency statemen

t can be made because only two angles in each triangle are known, No congruency statement can be made because the side length are unknown.
Mathematics
2 answers:
Flauer [41]3 years ago
6 0

Answer:

No congruency statement can be made because the side length are unknown.

Step-by-step explanation:

The sum of the measures of all interior angles in a triangle is always 180°.

In triangle XYZ,

m\angle X=90^{\circ}\\ \\m\angle Y=30^{\circ},

then

m\angle X+m\angle Y+m\angle Z=180^{\circ}\Rightarrow m\angle Z=180^{\circ}-90^{\circ}-30^{\circ}=60^{\circ}

In triangle TUV,

m\angle U=30^{\circ}\\\\m\angle V=60^{\circ},

then

m\angle T+m\angle U+m\angle V=180^{\circ}\Rightarrow m\angle T=180^{\circ}-30^{\circ}-60^{\circ}=90^{\circ}

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.

arsen [322]3 years ago
3 0

Answer:

Is:D

Step-by-step explanation:

You might be interested in
suppose that a given country of 72 million people about 3,600 die from drowning each year what is the percent chance that a pers
Trava [24]
Your answer is 0.003%
4 0
3 years ago
Given m|n, find the value of x and y.
galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0
3 years ago
F(x)=2x^2-3x+7 evaluate f(-2)
Vilka [71]

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

6 0
2 years ago
Kinsey purchased a bushel of large apples that weigh about 48 pounds.the bushel contains 96 apples what is the weight of one app
Elenna [48]
Each with half a pound.
6 0
2 years ago
Read 2 more answers
2. Starting at noon, the temperature dropped steadily at a rate of 0.3 degrees Celsius
arlik [135]

Answer:

a. -14,2/3

b. -28,3

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Solve for m. <br> 2(5m + 4) = 2 (3m - 10)
    7·1 answer
  • based only on the information given in the diagram which congruence theorems or postulates could be given as reason why ABC=DEF
    9·1 answer
  • Solve for L: S = B + 1/2L
    11·1 answer
  • The 3 circles in the diagram have centers A, B, and C.
    7·1 answer
  • If the masses of the two objects stay the same, what must be done to reduce to gravitational force between them?
    9·1 answer
  • When you measure the length of an object to the eighth of an inch and again to the fourth of an inch, which measurement is more
    13·1 answer
  • Is 3/5 and 6/12 equivalent
    11·2 answers
  • four glasses of milk and 2 snack bars have a total of 68 carbohydrates​ (carbs), and 2 glasses of milk and 3 snack bars have a t
    7·1 answer
  • Tina is tossing bean bags at a target. She hit the target on 3 out of her last 15 tries. Considering this data, how many hits wo
    12·2 answers
  • 4. A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!