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Marat540 [252]
3 years ago
12

Help Me PLZUse the diagram below to answer the questions that follow. Lines a and b are parallel, LaǁLb. Point L is midpoint of

segment EF. If the measure of ∠DFH is 98° , what is the measure of ∠DFO?∠OFL? ∠LFH?

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

Use the transversal

Step-by-step explanation:

Line/transversal DG splits everything into 180° sections. Since angle DFH is 98°, DFO is 180°-98°. OFL is 98° since it is a transversal split. LFH is 180°-98°.  

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Select the values of that are solutions to the inequality x^2+3x-4>0
sergey [27]
Solution:x^2+3x-4=(x+4)(x-1)>0,
therefore, the x range is (-∞,-4)∪(1,+∞).
Answer:(-∞,-4)∪(1,+∞).[
4 0
3 years ago
Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
The total surface area of this cuboid is 112cm squared find the value of x
soldier1979 [14.2K]

Answer:

x=2\sqrt{\frac{14}{3}}\ units  or  x=\frac{2}{3}\sqrt{42}\ units

Step-by-step explanation:

we know that

The surface area of a cube is equal to

SA=6x^{2}

where

x is the length side of a cube

In this problem we have

SA=112\ cm^{2}

substitute in the formula and solve for x

112=6x^{2}

x^{2}=112/6

square root both sides

x=\sqrt{\frac{112}{6}}\ units=2\sqrt{\frac{14}{3}}\ units=\frac{2}{3}\sqrt{42}\ units

5 0
3 years ago
Read 2 more answers
Chipper had 189 hits in 572 at bats calculate chippers batting average for season by dividing the number if hits by the number o
lord [1]

Answer:

0.330

Step-by-step explanation:

Divide the number of hits (189) by the number of bats (572)

189/572=0.330

8 0
4 years ago
Need help with this asap!
Brums [2.3K]

Answer:

The answer to your question is   b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

                      c² = a² + b²

-Solve for b²

                      b² = c² - a²

-Substitution

                      b² = 9² - 4²

-Simplification

                       b² = 81 - 16

                       b² = 65

-Result

                      b = 8.06 cm

4 0
3 years ago
Read 2 more answers
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