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Alinara [238K]
3 years ago
14

Help on all pls i need it quick

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

Answer:

angle 7 is congruent to angle 6 because both are vertical angles and vertical angles are congruent to one another

angle 6 and angle 10 are congruent because both are corresponding angles and corresponding angles are congruent

thus angle 7 is congruent to angle 10 because vertical angles

Step-by-step explanation:

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Find the experimental probability of rolling a 4
11Alexandr11 [23.1K]
<span />the probability of rolling a 4 = 5 times.
8 0
3 years ago
Which of the following is the solution to the inequality below ? -6/5(4-x)&lt;_-4(X+1/2)
LuckyWell [14K]

Answer:

The answer is the option D

x\leq 7/13

Step-by-step explanation:

we have

-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})

Multiply by -5 both sides

6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x

Rewrite

26x\leq 14\\x\leq 14/26\\ x\leq 7/13


7 0
2 years ago
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
3 years ago
If you run for 0.4 hours at 7 mph, how fast should you walk during the next 0.8 hours to have the average speed of 5 mph?
Fantom [35]

Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

v=\frac{d}{t}

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

d_1 = v_1 t_1 = (7)(0.4)=2.8 mi

Then the distance covered in the second part is d_2, so the total distance is

d=2.8+d_2 (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

t=0.4+0.8=1.2 h

So we can write the average speed as

v=\frac{2.8+d_2}{1.2} (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi

And therefore, the speed in the second part must be

v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph

4 0
2 years ago
Insert a digit to make numbers divisible by six possible
Kipish [7]

Lets say our number is 237x8

2+3+7+8+x should be divisible by 6.

20+x should be divisible by 6.

x=4

5 0
2 years ago
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