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
Gnesinka [82]
2 years ago
14

Complete each congruence statement by naming the corresponding angle or side.

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
8 0

Answer:

WV is congruent to ZX, M is congruent to G

Step-by-step explanation:

A little trick to do for the first problem. Flip the triangle over for the second triangle with the letters and calculate, no math is required!

Second problem: Given that LMN=HGI

Always remember that, L=H    M=G     N=I  

That is what makes up the congruency of every triangle!

So if they are asking for a specific letter, <M = <G!

Cheers!

liubo4ka [24]2 years ago
4 0

Answer:

8) \overline{VW} \cong \overline{ZX}, 9) \angle M \cong \angle G

Step-by-step explanation:

8) \triangle VUW \cong \triangle ZYX. Based on this congruence consideration, we infer the following congruence relationships:

\overline{VW} \cong \overline{ZX}, \overline{UV} \cong \overline{ZY}, \overline {UW} \cong \overline {XY}

9) \triangle LMN \cong \triangle HGI. Based on this congruence consideration, we infer the following congruence relationships:

\angle M \cong \angle G, \angle L \cong \angle H, \angle N \cong \angle I

You might be interested in
Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.
wlad13 [49]

Answer:

(a) Total = 45000

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

Kofi =5/9

Yaw = 2/15

Musa = 14000

Solving (a): The cost of the business

First, we solve for the fraction of Musa

Musa + Kofi + Yaw = 1

Musa = 1 - (Kofi + Yaw )

Musa = 1 - (5/9 + 2/15)

Musa = 1 - (\frac{25+6}{45})

Musa = 1 - \frac{31}{45}

Musa = \frac{45 - 31}{45}

Musa = \frac{14}{45}

So, we have:

\frac{14}{45} * Total = 14000

Make Total the subject

Total = 14000 * \frac{45}{14}

Total = 1000 * 45

Total = 45000

Solving (b): Partners in ascending order

First, represent the fractions as decimals

Kofi =5/9 = 0.5556

Yaw = 2/15 = 0.1333

Musa = \frac{14}{45} = 0.3111

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

6 0
3 years ago
Find the x-values that are solutions of the equation 5cot^2x-15=0
julia-pushkina [17]
First solve for the trig function 'cot'
cot^2 x = \frac{15}{5} = 3

Next take the sqrt of both sides (include plus/minus)
cot x = \pm \sqrt{3}

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}
3 0
3 years ago
Spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 62.1
Marta_Voda [28]
Caution:  you need to use the same units of measurement throughout.  If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.

We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.

Write the ratio

                21.0 cm        135 newtons
               ------------- = --------------------
                 62.1 cm               x

Solve this for x.  This x value represents the mass of a fish that would stretch the spring by 62.1 cm.  You can cancel "cm" in the equation above:

21.0      135 newtons
------ = --------------------
62.1               x

Then 21.0x = (62.1)(135 newtons).  Divide both sides of this equation by 21.0 to solve it for x.
7 0
2 years ago
Read 2 more answers
Figure out the answer to each riddle below:
Ahat [919]
1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238
5 0
3 years ago
60% of what is 3. .
jasenka [17]

Answer:

5

Step-by-step explanation:

3 ÷ 0.6 = 5

7 0
3 years ago
Read 2 more answers
Other questions:
  • Distributive property
    6·2 answers
  • What is the length of the diagonal of a 10cm by 15com rectangle
    8·1 answer
  • These tables represent an exponential function. Find the average rate of
    6·2 answers
  • How to add and subtract rational numbers
    10·1 answer
  • Use De Morgan’s laws to write an equivalent statement.
    7·1 answer
  • Pleaseeeee helppp meee!!!
    11·2 answers
  • ANSWER FOR BRAINLIEST
    11·2 answers
  • PLZ HELP BRAINLIEST AND 20 POINTS
    14·1 answer
  • Question 1. Philant sleeps 3/8 of each day. He spends 1/3 of each day at work. What fraction of his day is he not sleeping or wo
    7·1 answer
  • What is the domain of this relation?<br><br> {(5,6), (5,3), (5,1), (5,0), (5,-6), (5,-10)}
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!