Answer:
x = 63°
y = 27°
Step-by-step explanation:
RECT is a rectangle.
By the property of interior angles of a polygon,
All interior angles of a rectangle measure 90°
m(∠RTC) = 90°
m(∠RTC) = m(∠RTE) + m(∠CTE) [Angle addition postulate]
x° + 27° = 90°
x = (90 - 27)°
x = 63°
Since, opposite sides of a rectangle are parallel and equal in measure,
RE║TC and TE is a transversal line,
m∠RET = m∠CTE [Alternate interior angles]
y = 27°
Answer:
= 2*3 * 5 * 7
Step-by-step explanation:
210 = 21* 10
= 3*7 * 5*2
= 2*3 * 5 * 7
A suitable probability calculator will tell you that probabilty is about 25.9%.
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The normalcdf function on this calculator gives an area between a lower and upper limit. If the upper limit is more than about 8 standard deviations above the mean, the 10th decimal place is unaffected. Since the standard deviation here is about 5, we need to have an upper limit that is about 40 above the mean of about 30. We have chosen 80 as a nice round number and to give a little more margin.
Answer/Step-by-step explanation:
1. Side CD and side DG meet at endpoint D to form <4. Therefore, the sides of <4 are:
Side CD and side DG.
2. Vertex of <2 is the endpoint at which two sides meet to form <2.
Vertex of <2 is D.
3. Another name for <3 is <EDG
4. <5 is less than 90°. Therefore, <5 can be classified as an acute angle.
5. <CDE is less than 180° but greater than 90°. Therefore, <CDE is classified as an obtuse angle.
6. m<5 = 42°
m<1 = 117°
m<CDF = ?
m<5 + m<1 = m<CDF (angle addition postulate)
42° + 117° = m<CDF (Substitution)
159° = m<CDF
m<CDF = 159°
7. m<3 = 73°
m<FDE = ?
m<FDG = right angle = 90°
m<3 + m<FDE = m<FDG (Angle addition postulate)
73° + m<FDE = 90° (Substitution)
73° + m<FDE - 73° = 90° - 73°
m<FDE = 17°
