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
quester [9]
2 years ago
8

Can someone help? Need to find x, and measure of angle DEF

Mathematics
1 answer:
Leni [432]2 years ago
6 0

Step-by-step explanation:

(x+20)=9x

4x=20

x= 5°

because GEF AND DEG ARE EQUAL

THEN DEF= 2 * GEF

DEF = (9*5)*2=90

DEF= 90°

You might be interested in
Instructions:Select the correct answer from each drop-down menu. ∆ABC has vertices at A(11, 6), B(5, 6), and C(5, 17). ∆XYZ has
Akimi4 [234]

to compare the triangles, first we will determine the distances of each side

<span>Distance = ((x2-x1)^2+(y2-y1)^2)^0.5
</span>Solving 

<span>∆ABC  A(11, 6), B(5, 6), and C(5, 17)</span>

<span>AB = 6 units   BC = 11 units AC = 12.53 units
</span><span>∆XYZ  X(-10, 5), Y(-12, -2), and Z(-4, 15)
</span><span>XY = 7.14 units   YZ = 18.79 units XZ = 11.66 units</span>

<span>∆MNO  M(-9, -4), N(-3, -4), and O(-3, -15).</span>

<span>MN = 6 units   NO = 11 units MO = 12.53 units
</span><span>∆JKL  J(17, -2), K(12, -2), and L(12, 7).
</span><span>JK = 5 units   KL = 9 units JL = 10.30 units
</span><span>∆PQR  P(12, 3), Q(12, -2), and R(3, -2)
</span><span>PQ = 5 units   QR = 9 units PR = 10.30 units</span> 
Therefore
<span>we have the <span>∆ABC   and the </span><span>∆MNO  </span><span> 
with all three sides equal</span> ---------> are congruent  
</span><span>we have the <span>∆JKL  </span>and the <span>∆PQR 
</span>with all three sides equal ---------> are congruent  </span>

 let's check

 Two plane figures are congruent if and only if one can be obtained from the other by a sequence of rigid motions (that is, by a sequence of reflections, translations, and/or rotations).

 1)     If ∆MNO   ---- by a sequence of reflections and translation --- It can be obtained ------->∆ABC 

<span> then </span>∆MNO<span> ≅</span> <span>∆ABC  </span> 

 a)      Reflexion (x axis)

The coordinate notation for the Reflexion is (x,y)---- >(x,-y)

<span>∆MNO  M(-9, -4), N(-3, -4), and O(-3, -15).</span>

<span>M(-9, -4)----------------->  M1(-9,4)</span>

N(-3, -4)------------------ > N1(-3,4)

O(-3,-15)----------------- > O1(-3,15)

 b)      Reflexion (y axis)

The coordinate notation for the Reflexion is (x,y)---- >(-x,y)

<span>∆M1N1O1  M1(-9, 4), N1(-3, 4), and O1(-3, 15).</span>

<span>M1(-9, -4)----------------->  M2(9,4)</span>

N1(-3, -4)------------------ > N2(3,4)

O1(-3,-15)----------------- > O2(3,15)

 c)   Translation

The coordinate notation for the Translation is (x,y)---- >(x+2,y+2)

<span>∆M2N2O2  M2(9,4), N2(3,4), and O2(3, 15).</span>

<span>M2(9, 4)----------------->  M3(11,6)=A</span>

N2(3,4)------------------ > N3(5,6)=B

O2(3,15)----------------- > O3(5,17)=C

<span>∆ABC  A(11, 6), B(5, 6), and C(5, 17)</span>

 ∆MNO  reflection------- >  ∆M1N1O1  reflection---- > ∆M2N2O2  translation -- --> ∆M3N3O3 

 The ∆M3N3O3=∆ABC 

<span>Therefore ∆MNO ≅ <span>∆ABC   - > </span>check list</span>

 2)     If ∆JKL  -- by a sequence of rotation and translation--- It can be obtained ----->∆PQR 

<span> then </span>∆JKL ≅ <span>∆PQR  </span> 

 d)     Rotation 90 degree anticlockwise

The coordinate notation for the Rotation is (x,y)---- >(-y, x)

<span>∆JKL  J(17, -2), K(12, -2), and L(12, 7).</span>

<span>J(17, -2)----------------->  J1(2,17)</span>

K(12, -2)------------------ > K1(2,12)

L(12,7)----------------- > L1(-7,12)

 e)      translation

The coordinate notation for the translation is (x,y)---- >(x+10,y-14)

<span>∆J1K1L1  J1(2, 17), K1(2, 12), and L1(-7, 12).</span>

<span>J1(2, 17)----------------->  J2(12,3)=P</span>

K1(2, 12)------------------ > K2(12,-2)=Q

L1(-7, 12)----------------- > L2(3,-2)=R

 ∆PQR  P(12, 3), Q(12, -2), and R(3, -2)

 ∆JKL  rotation------- >  ∆J1K1L1  translation -- --> ∆J2K2L2=∆PQR 

<span>Therefore ∆JKL ≅ <span>∆PQR   - > </span><span>check list</span></span>
6 0
3 years ago
A mountain bike wheel has a diameter of 26 in.
ch4aika [34]
C = pi * d

Plug in what we know:

C = 3.14 * 26

Multiply:

C = 81.64
3 0
3 years ago
Which could be the missing data item for the given set of data if the median of the complete data set is 15?
Gre4nikov [31]

Answer:

A: 16

Step-by-step explanation:

its in between

5 0
3 years ago
A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.
Dmitriy789 [7]

Answer:

D 540 oranges is the answer

3 0
3 years ago
Read 2 more answers
6. Find the slope of the given points (3,4) and (7,-4).
Grace [21]

Answer:

-2, C

Step-by-step explanation:

Use the formula: (y2-y1)/(x2-x1)

Substitute the numbers:

(4-(-4)) / (3-7)

=8 / -4

= -2

The slope is -2, or C

7 0
3 years ago
Read 2 more answers
Other questions:
  • e greater roadrunner bird can run 14 miles per hour. at’s 7 times faster than an ostrich can walk. How fast does an ostrich walk
    13·1 answer
  • 15x + 9 = 3(2x - 6) PLease Help me Ive benn stuck on this
    6·2 answers
  • WILL GIVE BRANLIEST PLEASE HELP!
    8·1 answer
  • Find the arc length of the curve below on the given interval by integrating with respect to x. y = 4x + 2; [0, 3] (Use calculus.
    12·1 answer
  • Which of the following is graphed below?
    8·1 answer
  • Consider these statements.
    14·1 answer
  • Hello! I would like to have this answered, I need to pass badly and I almost am! Please dont scam and show your work. You may se
    5·2 answers
  • What is the answer of 2 1/3 - 2/3 and an estimate pls
    12·1 answer
  • 9p^3 if p = 1/3 <br> Please help!
    12·1 answer
  • Flashback Practice
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!