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3 years ago

Which two statements are missing in steps 3 and 4?

Mathematics

2 answers:

mr Goodwill [35]3 years ago

8 0

Answer:

answer is b on edge

Step-by-step explanation:

Snezhnost [94]3 years ago

4 0

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. $AB=6$ units

$YZ=3$ units

$BC=8$ units

$XY=4$ units, then

$\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2$

2. $\angle B$ and $\angle Y$ are right angles - given

3. $\angle B\cong \angle Y$ two right angles are always congruent.

4. $\triangle ABC\sim \triangle ZYX$ by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

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The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per

Lisa [10]

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

6 0

3 years ago

Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

rusak2 [61]

Answer:

<em>2.983 </em>ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = $\frac{60}{20} = 3$

Formula for linear speed is given as:

$v=\dfrac{2\pi}{60}\cdot r\cdot RPM$

Where $r$ is the radius of circular path and

$RPM$ is the number of revolutions per minute.

$v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}$

Therefore, the linear speed is <em>2.983 ft/sec.</em>

5 0

4 years ago

Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?

Vladimir [108]

Answer:

3x^2 - x - 10

Step-by-step explanation:

Times the two together and you get

3x^2 + (-6x) + 5x + (-10)

Sum these up for your answer

3 0

3 years ago

Laura bernett is 5 ft-4 inches tall. she stands 12 feet from a streetlight and casts a 9-foot-long shadow. how tall is the stree

xxMikexx [17]

The ratio of the height (h) of the streetlight to its distance to the end of Laura's shadow is the same as the ratio of Laura's height to her distance from the end of her shadow.
.. h/(12+9) = 5'4"/9
.. h = (21/9)*5'4" = 12 4/9 feet
.. h = 12 ft 5 1/3 inches

The streetlight is 12 ft 5 1/3 inches tall.

5 0

3 years ago

Is 8, 9, 14, 5 solutions to y ≤ 9?

amid [387]

Answer:

y ≤ 9 is saying that y is equal to anything 9 and below. Therefore, 9, 8, and 5 are correct answers since they are either equal to or less then 9. Although 14 is the only incorrect one.

14 is incorrect

Step-by-step explanation:

3 0

3 years ago