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3 years ago

Find the value of x.

Mathematics

2 answers:

alukav5142 [94]3 years ago

8 0

Step-by-step explanation:

The sum of the three angles in a triangle must be $180$ . Since this triangle has a right angle, we know that it is $90$ °, so the sum of the remaining two angles must be $90$ .

We can set up an equation for the two remaining angles to determine the value of $x$ :

$(x + 28) + x = 90$

$2x + 28 = 90$

$2x = 62$

$x = 31$

RUDIKE [14]3 years ago

3 0

Answer:

x = 31

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 degrees.

x + x + 28 + 90 = 180

2x + 118 = 180

2x = 62

x = 31

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kotegsom [21]

Answer:

Bottom left graph

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

−2x + y ≤ 4 >> Original Standard Equation

+ 2x + 2x

_________

y ≤ 2x + 4 >> Slope-Intercept Equation

−2[0] + 0 ≤ 4

0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]

$\displaystyle y > x + 2 \\ \\ 0 ≯ 2$ [We shade the part of the graph that does not contain the origin, which is the left side.]

So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE RATE OF CHANGES [SLOPES], therefore the bottom left graph matches what we want.

** By the way, you meant $\displaystyle y > x + 2$ because this inequality in each graph is a dashed line. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.

I am joyous to assist you anytime.

7 0

3 years ago

[Pic] Name a face of the solid.

Ulleksa [173]

Answer:

Option C.

Step-by-step explanation:

Solid in the given picture is a rectangular prism and a rectangular prism has 6 faces. Each face is formed by joining 4 vertices of the prism.

All the faces joining four vertices are: AFGB, BGHC, ADEF, DCHE, FEHG, ADCB.

From the given options,

Option (C). ADEF will be one of the face of the solid.

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2 years ago

Please help me with this I will mark brainliest

rewona [7]

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3 years ago

Mary earns $277.30 tutoring. If she works for 23.5 hours, how much money does

PIT_PIT [208]

Answer: $16.06 (rounded to nearest cent)

Step-by-step explanation:

3 0

2 years ago

Calculate the length of a rectangle with: area 35cm² and breadth 50mm

vesna_86 [32]

Answer:

7mm

Step-by-step explanation:

Area=l*b

35cm²=l*50mm

350mm²/50mm=l

7mm=l

8 0

2 years ago