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Novay_Z [31]
3 years ago
9

John knows that his first 4 tests grades were 84, 79, 82, and 88. Find John's grade on the test if his average was 83.8. ​

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

86

Step-by-step explanation:

The average is the sum of all the grades divided by the number of tests.

83.8 = (84 + 79 + 82 + 88 + x) / 5

419 = 333 + x

x = 86

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State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Helen [10]

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

3 0
2 years ago
5y&gt;3x+4<br> A.x=1,y=1<br> B.x=1,y=2<br> C.x=2,y=1<br> D.x=4,y=3
ziro4ka [17]

5(2)>3(1)+4

10 > 7. Is True because 10 is greather than 7. All needed to do is evaluate the x and y variables for each possibility. A, B, C D. And see if is a logical answer.

Any other combination gives you a false statement.

3 0
3 years ago
How do you figure out the slope of a line
astra-53 [7]
You divide the difference of the y-coordinates of 2points on a line by the difference of the x-coordinates of the same 2points
8 0
3 years ago
Read 2 more answers
465.8 g = blank kg<br><br><br> Plz help if u can !!!!
alina1380 [7]

Answer:

0.4658 kg

Step-by-step explanation:

5 0
3 years ago
Please give me the correct answer ​
ololo11 [35]

Answer:

It cannot be written as a fraction

Step-by-step explanation:

The square root of 2 is "irrational" (cannot be written as a fraction) ... because if it could be written as a fraction then we would have the absurd case that the fraction would have even numbers at both top and bottom and so could always be simplified.

6 0
3 years ago
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